715 results on '"Marin, Marin"'
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2. Efectos de la realidad aumentada y virtual en estudiantes con TEA
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López-Belmonte, Jesús, Duo-Terrón, Pablo, Moreno-Guerrero, Antonio-José, and Marin-Marin, José-Antonio
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- 2024
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3. Neuroanatomical correlates of musicianship in left-handers
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Villar-Rodríguez, Esteban, Marin-Marin, Lidón, Avila, César, and Parcet, Maria Antònia
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- 2024
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4. Coupled responses of thermomechanical waves in functionally graded viscoelastic nanobeams via thermoelastic heat conduction model including Atangana–Baleanu fractional derivative
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Abouelregal, Ahmed E., Marin, Marin, Foul, Abdelaziz, and Askar, S. S.
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- 2024
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5. On a composite obtained by a mixture of a dipolar solid with a Moore–Gibson–Thompson media
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Marin, Marin, Vlase, Sorin, and Neagu, Denisa
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- 2024
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6. On the period of Pell-Narayana sequence in some groups
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Kuloğlu, Bahar, Özkan, Engin, and Marin, Marin
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Mathematics - Combinatorics ,Mathematics - Number Theory ,11B39, 11B50, 11B75 - Abstract
In this paper, the Pell-Narayana sequence modulo m is studied. The paper outlines the definition of Pell-Narayana numbers and some of their combinatorial links with Eulerian, Catalan and Delannoy numbers and other special functions. From the definition, the Pell-Narayana orbit of a 2-generator group for a generating pair $(x, y) \in G$ is defined, so that the lengths of the period of the Pell-Narayana orbit can be examined. These yield in turn the Pell-Narayana lengths of the polyhedral group and the binary polyhedral group for the generating pair $(x,y)$ and associated properties. Also, the period of the Pell-Narayana orbit of the groups $Q_8$, $Q_8 \times\mathbb{Z}_{2m} $ and $Q_8 \times_\phi \mathbb{Z}_{2m} $ for $m \geq 3$ were obtained., Comment: 16 pages
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- 2023
7. Isogeometric Resolution of the Brinkman-Forchheimer-Darcy
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Ouadie Koubaiti, Lahcen El Ouadefli, Ahmed Elkhalfi, Abdeslam El Akkad, Sorin Vlase, and Marin Marin
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brinkman-forchheimer-darcy ,nurbs ,fem ,porous ,matlab ,stream formulation ,isogeometric analysis ,Mechanics of engineering. Applied mechanics ,TA349-359 - Abstract
In this paper, we employ the finite element method based on non-uniform rational B-splines function approximation to solve the nonlinear Brinkman-Forcheimer-Darcy equation in a simply connected and bounded Lipschitz domain Ω. We provide both theoretical and numerical studies of the Dirichlet boundary problem. Utilizing a stream function formulation, we demonstrate the well-posedness of the weak form. Furthermore, we approximate the velocity and pressure fields by linearizing the nonlinear terms, resulting in an algebraic system. This Non-uniform rational B-splines method is more effective in terms of the exact representation of the geometry and the good approximation of the solution compared to the virtual element method. To validate the effectiveness of the non-uniform rational B-splines Finite Element Method, we conduct numerical simulations of fluid flow in porous media.
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- 2024
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8. Neuroanatomical correlates of musicianship in left-handers
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Esteban Villar-Rodríguez, Lidón Marin-Marin, César Avila, and Maria Antònia Parcet
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Musicianship ,Left-handedness ,Heschl’s gyrus ,Arcuate fasciculus ,Neurology. Diseases of the nervous system ,RC346-429 - Abstract
Abstract Background Left-handedness is a condition that reverses the typical left cerebral dominance of motor control to an atypical right dominance. The impact of this distinct control — and its associated neuroanatomical peculiarities — on other cognitive functions such as music processing or playing a musical instrument remains unexplored. Previous studies in right-handed population have linked musicianship to a larger volume in the (right) auditory cortex and a larger volume in the (right) arcuate fasciculus. Results In our study, we reveal that left-handed musicians (n = 55), in comparison to left-handed non-musicians (n = 75), exhibit a larger gray matter volume in both the left and right Heschl’s gyrus, critical for auditory processing. They also present a higher number of streamlines across the anterior segment of the right arcuate fasciculus. Importantly, atypical hemispheric lateralization of speech (notably prevalent among left-handers) was associated to a rightward asymmetry of the AF, in contrast to the leftward asymmetry exhibited by the typically lateralized. Conclusions These findings suggest that left-handed musicians share similar neuroanatomical characteristics with their right-handed counterparts. However, atypical lateralization of speech might potentiate the right audiomotor pathway, which has been associated with musicianship and better musical skills. This may help explain why musicians are more prevalent among left-handers and shed light on their cognitive advantages.
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- 2024
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9. A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives
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Ahmed E. Abouelregal, Marin Marin, Abdelaziz Foul, and Sameh S. Askar
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MGT thermoelasticity ,MD derivatives ,Higher-order ,Semi-space ,Time delay ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
The inclusion of memory-dependent derivatives (MDD) in constitutive models improves the ability to predict and analyze time-dependent responses of materials, providing a more detailed depiction of their mechanical properties and structural changes. In this paper, a new thermoelasticity model is created that combines the Moore-Gibson-Thompson (MGT) equation with higher-order memory-dependent derivatives (MDD), any optional kernel function, and time delay. The objective of this model is to provide a more accurate mathematical depiction of the thermal and mechanical reactions of materials, particularly those that exhibit complex behaviors over time. A theoretical study was conducted to provide additional clarification of the proposed concept. For this purpose, thermal-mechanical waves were studied in a semi-infinite region, surrounded by a magnetic field, and exposed to a direct heat source uniformly distributed on its outer surface. To solve the coupled partial differential equations governing the system, the Laplace transform methodology was used. The effects of different kernel functions, time delays, and higher-order (HO) derivatives on the behavior of thermoelastic materials are discussed and illustrated using figures and tables.
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- 2024
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10. Coupled responses of thermomechanical waves in functionally graded viscoelastic nanobeams via thermoelastic heat conduction model including Atangana–Baleanu fractional derivative
- Author
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Ahmed E. Abouelregal, Marin Marin, Abdelaziz Foul, and S. S. Askar
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Nonlocality ,Viscoelastic nanobeams ,AB fractional derivative ,Heterogeneity ,Medicine ,Science - Abstract
Abstract Accurately characterizing the thermomechanical parameters of nanoscale systems is essential for understanding their performance and building innovative nanoscale technologies due to their distinct behaviours. Fractional thermal transport models are commonly utilized to correctly depict the heat transfer that occurs in these nanoscale systems. The current study presents a novel mathematical thermoelastic model that incorporates a new fractional differential constitutive equation for heat conduction. This heat equation is useful for understanding the effects of thermal memory. An application of a fractional-time Atangana–Baleanu (AB) derivative with a local and non-singular kernel was utilized in the process of developing the mathematical model that was suggested. To deal with effects that depend on size, nonlocal constitutive relations are introduced. Furthermore, in order to take into consideration, the viscoelastic behaviour of the material at the nanoscale, the fractional Kelvin–Voigt model is utilized. The proposed model is highly effective in properly depicting the unusual thermal conductivity phenomena often found in nanoscale devices. The study also considered the mechanical deformation, temperature variations, and viscoelastic characteristics of the functionally graded (FG) nanostructured beams. The consideration was made that the material characteristics exhibit heterogeneity and continuous variation across the thickness of the beam as the nanobeam transitions from a ceramic composition in the lower region to a metallic composition in the upper region. The complicated thermomechanical features of simply supported viscoelastic nanobeams that were exposed to harmonic heat flow were determined by the application of the model that was constructed. Heterogeneity, nonlocality, and fractional operators are some of the important variables that contribute to its success, and this article provides a full study and illustration of the significance of these characteristics. The results that were obtained have the potential to play a significant role in pushing forward the design and development of tools, materials, and nanostructures that have viscoelastic mechanical characteristics and graded functions.
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- 2024
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11. A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives
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Abouelregal, Ahmed E., Marin, Marin, Foul, Abdelaziz, and Askar, Sameh S.
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- 2024
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12. Flap and Wing Dynamics for a Light Sport Aircraft Analysis Using a Topological Model
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Maria Luminita Scutaru, Sorin Vlase, and Marin Marin
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light sport aircraft ,topology ,graph theory ,wings ,flaps ,associated graph ,Technology ,Engineering (General). Civil engineering (General) ,TA1-2040 ,Biology (General) ,QH301-705.5 ,Physics ,QC1-999 ,Chemistry ,QD1-999 - Abstract
This paper presents a more general method to study the dynamic behavior of a planar mechanism with joints. To do this, Graph Theory is used. A topological description is presented based on which a corresponding graph is attached to any mechanism. This method can be used for both kinematic and dynamic study in the same model, and many of the descriptors used in kinematic analysis can also be used for dynamic analysis. As a final result, the motion equations of the studied mechanical system can be obtained. An application is made to a flap and wing control system of a light sport aircraft. The graph associated with the mechanism first used to determine the field of velocities and accelerations of the mechanism elements is then used to obtain the motion equation for the control system. In this way, Graph Theory proves useful for the parallel study of both the kinematic and dynamic study of such problems.
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- 2024
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13. Analytical mechanics methods in finite element analysis of multibody elastic system
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Scutaru, Maria Luminita, Vlase, Sorin, and Marin, Marin
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- 2023
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14. Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model
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Abouelregal, Ahmed E., Marin, Marin, and Askar, Sameh S.
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- 2023
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15. Thermomagnetic responses of a thermoelastic medium containing a spherical hole exposed to a timed laser pulse heat source
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Ahmed E. Abouelregal, Marin Marin, Abdelaziz Foul, and S.S. Askar
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Thermoelasticity ,Green-naghdi model ,Gaussian laser beam ,Heat supply ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
The current work aims to investigate the interaction between thermal, magnetic, and elastic phenomena in a homogeneous and unbounded material that includes a spherical cavity. A laser beam with a Gaussian distribution was used to expose the solid thermal medium, thereby bringing a source of heat into the system. The study is grounded in the expanded theory of thermoelasticity without energy dissipation, which considers the interconnection between thermal, elastic, and magnetic phenomena. This theoretical framework serves as a basis for understanding the interactions and behaviors of thermal and mechanical processes within an elastic material. The system was analyzed using a direct approach, employing the Laplace transformation method to provide solutions for the system's equations. This methodology enables the computation and presentation of precise equations for several domains of concern, such as displacement, temperature, and thermal stresses. The discussion and analysis focused on a copper-based material, and graphical representations were used to demonstrate the behavior of the researched physical fields. These graphical representations aid in comprehending the development of displacement, temperature, and thermal stresses within the material caused by the laser beam and the interplay between thermal, magnetic, and elastic processes. The results demonstrate that the laser pulse parameters have a significant impact on the temperature and thermal stress distribution, thereby influencing the thermo-mechanical reactions of the solid medium. Ultimately, this study enhances our comprehension of the intricate behavior and interplay of thermal, magnetic, and elastic phenomena in thermoelastic materials.
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- 2024
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16. Analytical mechanics methods in finite element analysis of multibody elastic system
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Maria Luminita Scutaru, Sorin Vlase, and Marin Marin
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MBS ,FEM ,Maggi’s formalism ,Lagrange’s equations ,Energy of acceleration ,Hamilton’s equations ,Analysis ,QA299.6-433 - Abstract
Abstract The study of multibody systems with elastic elements involves at the moment the reevaluation of the classical methods of analysis offered by analytical mechanics. Modeling this system with the finite element method requires obtaining the motion equation for an element in the circumstances imposed by a multibody system. The paper aims to present the main analysis methods used by researchers, to make a comparative analysis, and to show the advantages or disadvantages offered by different methods. For the presentation of the main methods (namely Lagrange’s equations, Gibbs–Appell’s equations, Maggi’s formalism, Kane’s equations, and Hamilton’s equations) a unified notation is used. The paper provides a critical evaluation of the studied applications that involved some of these methods, highlighting the reason why it was decided to use them. Also, the paper identifies potential research areas to explore.
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- 2023
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17. Computational thinking and programming with Arduino in education: A systematic review for secondary education
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Marín-Marín, José-Antonio, García-Tudela, Pedro Antonio, and Duo-Terrón, Pablo
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- 2024
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18. Thermomagnetic responses of a thermoelastic medium containing a spherical hole exposed to a timed laser pulse heat source
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Abouelregal, Ahmed E., Marin, Marin, Foul, Abdelaziz, and Askar, S.S.
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- 2024
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19. Numerical Analysis of the Cylindrical Shell Pipe with Preformed Holes Subjected to a Compressive Load Using Non-Uniform Rational B-Splines and T-Splines for an Isogeometric Analysis Approach
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Said EL Fakkoussi, Ouadie Koubaiti, Ahmed Elkhalfi, Sorin Vlase, and Marin Marin
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isogeometric analysis ,Reissner–Mindlin theory ,NURBS ,T-splines ,Bézier extraction ,linear elasticity ,Mathematics ,QA1-939 - Abstract
In this paper, we implement the finite detail technique primarily based on T-Splines for approximating solutions to the linear elasticity equations in the connected and bounded Lipschitz domain. Both theoretical and numerical analyses of the Dirichlet and Neumann boundary problems are presented. The Reissner–Mindlin (RM) hypothesis is considered for the investigation of the mechanical performance of a 3D cylindrical shell pipe without and with preformed hole problems under concentrated and compression loading in the linear elastic behavior for trimmed and untrimmed surfaces in structural engineering problems. Bézier extraction from T-Splines is integrated for an isogeometric analysis (IGA) approach. The numerical results obtained, particularly for the displacement and von Mises stress, are compared with and validated against the literature results, particularly with those for Non-Uniform Rational B-Spline (NURBS) IGA and the finite element method (FEM) Abaqus methods. The obtained results show that the computation time of the IGA based on the T-Spline method is shorter than that of the IGA NURBS and FEM Abaqus/CAE (computer-aided engineering) methods. Furthermore, the highlighted results confirm that the IGA approach based on the T-Spline method shows more success than numerical reference methods. We observed that the NURBS IGA method is very limited for studying trimmed surfaces. The T-Spline method shows its power and capability in computing trimmed and untrimmed surfaces.
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- 2024
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20. A theoretical study of mechanical source in a hygrothermoelastic medium with an overlying non-viscous fluid
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Ailawalia Praveen, Priyanka, and Marin Marin
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non-viscous ,fluid-layer ,normal mode ,temperature distribution ,hygrothermoelastic medium ,moisture concentration ,Mechanical engineering and machinery ,TJ1-1570 - Abstract
This work demonstrates deformation in hygrothermoelastic medium with an overlying non-viscous fluid of uniform thickness. A constant mechanical force is applied along the fluid-layer. The normal-mode analysis technique is applied to solve the governing equations of the medium. The analytical expressions of displacement, moisture concentration, temperature distribution, and stresses are obtained for the hygrothermoelastic medium and depicted graphically for different values of fluid-layer depth. The finding of this work is that the values of the aforementioned physical quantities decrease with an increase in the fluid-layer, which justifies the decaying nature of waves with depth. The novelty of the problem is that no research has been carried out so far for analyzing hygrothermoelastic medium subjected to thermoelastic deformation.
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- 2023
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21. What happens to the inhibitory control functions of the right inferior frontal cortex when this area is dominant for language?
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Esteban Villar-Rodríguez, Cristina Cano-Melle, Lidón Marin-Marin, Maria Antònia Parcet, and César Avila
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inferior frontal cortex ,language ,inhibitory control ,lateralization ,left-handedness ,Medicine ,Science ,Biology (General) ,QH301-705.5 - Abstract
A low number of individuals show an atypical brain control of language functions that differs from the typical lateralization in the left cerebral hemisphere. In these cases, the neural distribution of other cognitive functions is not fully understood. Although there is a bias towards a mirrored brain organization consistent with the Causal hypothesis, some individuals are found to be exceptions to this rule. However, no study has focused on what happens to the homologous language areas in the right frontal inferior cortex. Using an fMRI-adapted stop-signal task in a healthy non right-handed sample (50 typically lateralized and 36 atypically lateralized for language production), our results show that atypical lateralization is associated with a mirrored brain organization of the inhibitory control network in the left hemisphere: inferior frontal cortex, presupplementary motor area, and subthalamic nucleus. However, the individual analyses revealed a large number of cases with a noteworthy overlap in the inferior frontal gyrus, which shared both inhibitory and language functions. Further analyses showed that atypical lateralization was associated with stronger functional interhemispheric connectivity and larger corpus callosum. Importantly, we did not find task performance differences as a function of lateralization, but there was an association between atypical dominance in the inferior frontal cortex and higher scores on schizotypy and autistic spectrum traits, as well as worse performance on a reading accuracy test. Together, these results partially support the Causal hypothesis of hemispheric specialization and provide further evidence of the link between atypical hemispheric lateralization and increased interhemispheric transfer through the corpus callosum.
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- 2024
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22. Fibonacci and Lucas Polynomials in n-gon
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Kuloğlu Bahar, Özkan Engin, and Marin Marin
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binet formula ,lucas polynomials ,fibonacci polynomials ,recurrence relation ,11b37 ,11b39 ,Mathematics ,QA1-939 - Abstract
In this paper, we bring into light, study the polygonal structure of Fibonacci polynomials that are placed clockwise on these by a number corresponding to each vertex. Also, we find the relation between the numbers with such vertices. We present a relation for obtained sequence in an n-gon yielding the m-th term formed at k vertices. Also, we apply these situations to Lucas polynomials and find new recurrence relations. Then, the numbers obtained by writing the coefficients of these polynomials in step form are shown in OEIS.
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- 2023
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23. Analysis of the magneto-thermoelastic vibrations of rotating Euler–Bernoulli nanobeams using the nonlocal elasticity model
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Ahmed E. Abouelregal, Marin Marin, and Sameh S. Askar
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Rotating nanobeams ,Thermoelasticity DPL model ,Electrical source ,Graphene tape ,Analysis ,QA299.6-433 - Abstract
Abstract This paper introduces size-dependent modeling and investigation of the transverse vibrational behavior of rotating thermoelastic nanobeams by means of nonlocal elasticity theory. In the formulation, a model of thermal conductivity with two-phase delays (DPL) was utilized. By incorporating the interactions between phonons and electrons, this model took into account microstructural influences. Also, we have employed the state-space approach and Laplace transform approach to solve the governing equations, which were developed in the context of the nonlocal Eringen model. The nanobeam material is subjected to a changeable temperature field produced by the graphene tape attached to the nanobeam and connected to an electrical source. In addition, the nanobeam material is fully encompassed by an axially applied magnetic field. It has been revealed how coefficients such as the rotational angular velocity of the nanobeam, nonlocal coefficient, voltage, electrical resistance, and applied magnetic field influence its behavior.
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- 2023
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24. Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag
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Kilany, Araby A., Abo Dahab, Sayed M., Marin, Marin, Aiyashi, Mohammed A., and Albalwi, M. Daher
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- 2023
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25. Derivative analysis of fractional order on reflection of p-waves with electromagnetic, temperature, and initial stress with three-phase-lag
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Araby A. Kilany, Sayed M. Abo Dahab, Marin Marin, Mohammed A. Aiyashi, and M. Daher Albalwi
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Temperature dependent ,Three-phase-lag ,P-waves ,Initial stress ,Electromagnetic ,Conformable fractional derivative ,Engineering (General). Civil engineering (General) ,TA1-2040 - Abstract
In this paper, the three-phase-lag model of fractional analysis on the reflection of two-dimensional problem of p-waves with initial stress, temperature-dependent, and magnetic field is investigated. The formulation of the problem for an isotropic homogeneous medium based on a three phase-lag theory. The boundary conditions applied on the surface for the stresses and thermal insulation. The numerical solution presented as well as the graphical representation of the impact of analysis considering the external parameters. Also, the modified elastic waves reflected under the action of the magnetic field, initial stress, fractional degree coefficient, and temperature to determine the more exact nature of the reflection of these waves, particularly seismic waves. A comparison has been made between the results obtained and the previous results obtained by others and already published and are in agreement with these, when external parameters considered in the present investigation neglected. The results obtained indicate that the new external parameters have new impact on the waves reflection and applicable in diverse fields as engineering, earthquakes, volcanos, geophysics, acoustics, and astronomy.
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- 2023
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26. On mixed problem in thermoelasticity of type III for Cosserat media
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Marin Marin, Aly Seadawy, Sorin Vlase, and Adina Chirila
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Cosserat bodies ,thermoelasticity ,type III thermoelasticity ,uniqueness ,continuous dependence ,Science (General) ,Q1-390 - Abstract
In our present study, we approach a linear theory for the thermoelasticity of type III for Cosserat media. At the beginning we introduce the equations and conditions, specific for a mixed problem in this context, namely the motion and energy equations, the initial condition and boundary relations. After that, we establish two results regarding the solution unique to the problem and two results on the continuous dependence of solutions, for the same mixed problem. Both problems that we address in our paper (uniqueness and continuous dependence) are not based on the material symmetries of the medium. Moreover, our results concern the theory of type III thermoelasticity for Cosserat media in their most general form, namely anisotropic.
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- 2022
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27. La competencia léxica en inglés de estudiantes universitarios en México
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Alfredo Marin-Marin and María Isabel Hernández-Romero
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competencia léxica ,vocabulario receptivo ,competencia lingüística ,Philology. Linguistics ,P1-1091 ,Education (General) ,L7-991 - Abstract
El presente estudio se centra en investigar una dimensión de la competencia léxica: el tamaño del vocabulario receptivo en inglés de 345 estudiantes universitarios en México. Se adaptó el Vocabulary Size Test (VST) de Nation y Beglar (2007) de 100 reactivos que permite hacer estimaciones de hasta 20,000 palabras. Los resultados generales indican que los estudiantes universitarios tienen en promedio un vocabulario receptivo de 11,367 palabras y que siguen un patrón lineal acorde a su nivel autopercibido de inglés. El VST resultó ser un instrumento válido y confiable para determinar no solo la competencia léxica, sino también la competencia lingüística.
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- 2022
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28. On some qualitative results in thermodynamics of Cosserat bodies
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Marin Marin, Iana M. Fudulu, and Sorin Vlase
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Analysis ,QA299.6-433 - Abstract
Abstract This paper deals with the linear theory of thermoelastic Cosserat bodies. At the beginning, we formulate the mixed initial-boundary value problem in this context and obtain new theorems of reciprocity in the thermodynamics theory of these media. Then we prove that these new reciprocity relations imply the uniqueness of solution of the mixed problem. Based on the same reciprocal relations, we establish a minimum variational principle, which generalizes those from the theory of classical thermoelasticity.
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- 2022
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29. Gibbs–Appell Equations in Finite Element Analysis of Mechanical Systems with Elements Having Micro-Structure and Voids
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Sorin Vlase, Marin Marin, and Calin Itu
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FEM ,MBS ,analytical dynamics ,micropolar ,voids ,micropolar media ,Mathematics ,QA1-939 - Abstract
In this paper, the authors propose the application of the Gibbs–Appell equations to obtain the equations of motion in the case of a mechanical system that has elements with a micro-polar structure, containing voids. Voids can appear as a result of the processing or manufacturing of the parts, or can be intentionally introduced. This research involves a model of the considered solid material containing voids. To determine the dynamic behavior of such a system, the Gibbs–Appell (GA) method is used to obtain the evolution equations, as an alternative to Lagrange’s classical description. The proposed method can be applied to any mechanical system consisting of materials with a micro-polar structure and voids. The study of such systems is interesting because the literature shows that even a reduce number of small voids can produce significant variations in physical behavior. The proposed method requires a smaller number of mathematical operations. To apply this method, the acceleration energy is calculated, which is then used to derive the equations. The method comes with advantages in the application to multibody systems having the mentioned properties and, in particular, in the study of robots and manipulators. Using the GA method, it is necessary to do a fewer differentiation operations than applying the Lagrange’s equations. This leads to a reduced amount of computation for obtaining the evolution equations.
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- 2024
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30. Predicting Stress Intensity Factor for Aluminum 6062 T6 Material in L-Shaped Lower Control Arm (LCA) Design Using Extended Finite Element Analysis
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Said El Fakkoussi, Sorin Vlase, Marin Marin, Ouadie Koubaiti, Ahmed Elkhalfi, and Hassane Moustabchir
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crack ,aluminum 6062 T6 ,lower control arm ,stress intensity factor ,XFEM ,Abaqus/CAE ,Technology ,Electrical engineering. Electronics. Nuclear engineering ,TK1-9971 ,Engineering (General). Civil engineering (General) ,TA1-2040 ,Microscopy ,QH201-278.5 ,Descriptive and experimental mechanics ,QC120-168.85 - Abstract
The aim of this study is to solve a practical problem encountered in the automotive industry, especially the failure of a cracked lower control arm made of al 6062 T6 material during static and crash physical tests, and to characterize the behavior of cracked parts made of aluminum materials using the fracture mechanics parameters. As a first step, we carried out a numerical study and simulation using Abaqus/CAE 2020 software and the finite element method to determine the stress concentration and load limit capacity for different car weight cases. The von Mises stress variation shows crack initiation and propagation to be in the area of the lower control arm’s attachment to the vehicle platform, where stress is concentrated. These numerical results are consistent with the experimental test results found by automotive manufacturers. Also, we find that the mechanical load that can support this part is below 4900 N for good performance. In the second step, we use the results of the first section to simulate the failure of a lower control arm with a crack defect. This paper investigates the stress intensity factor KI in mode I for different lengths (L) and depths (a) of the crack in the lower control arm using the extended finite element method (XFEM) under Abaqus/CAE. For crack failure initiation and progression, we relied on the traction separation law, specifically the maximum principal stress (MAXPS) criterion. The KI factor was evaluated for the materials steel and Al 6062 T6. The results obtained from the variation of the KI coefficient as a function of crack depth (a) and the thickness (t) show that the crack remains stable even when a depth ratio (a/t = 0.8) is reached for the steel material. However, the crack in the Aluminum 6062 T6 material becomes unstable at depth (a/t = 0.6), with a high risk of total failure of the lower control arm.
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- 2023
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31. Flap and Wing Dynamics for a Light Sport Aircraft Analysis Using a Topological Model.
- Author
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Scutaru, Maria Luminita, Vlase, Sorin, and Marin, Marin
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EQUATIONS of motion ,LIGHT aircraft ,GRAPH theory ,ACCELERATION (Mechanics) ,TOPOLOGY - Abstract
Featured Application: This paper proposes a method to determine the dynamic response of a planar mechanism with a practical application to a flap and wing control mechanism of a light sport aircraft. For this, a topological model and its related theory are used. This paper presents a more general method to study the dynamic behavior of a planar mechanism with joints. To do this, Graph Theory is used. A topological description is presented based on which a corresponding graph is attached to any mechanism. This method can be used for both kinematic and dynamic study in the same model, and many of the descriptors used in kinematic analysis can also be used for dynamic analysis. As a final result, the motion equations of the studied mechanical system can be obtained. An application is made to a flap and wing control system of a light sport aircraft. The graph associated with the mechanism first used to determine the field of velocities and accelerations of the mechanism elements is then used to obtain the motion equation for the control system. In this way, Graph Theory proves useful for the parallel study of both the kinematic and dynamic study of such problems. [ABSTRACT FROM AUTHOR]
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- 2024
- Full Text
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32. Musicianship and Prominence of Interhemispheric Connectivity Determine Two Different Pathways to Atypical Language Dominance.
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Villar-Rodríguez, Esteban, Marin-Marin, Lidón, Baena-Pérez, María, Cano-Melle, Cristina, Parcet, Maria Antònia, and Ávila, César
- Subjects
- *
ABSOLUTE pitch , *AUDITORY cortex , *CORPUS callosum , *FRONTAL lobe , *DOMINANT language , *CEREBRAL dominance - Abstract
During infancy and adolescence, language develops from a predominantly interhemispheric control--through the corpus callosum (CC)--to a predominantly intrahemispheric control, mainly subserved by the left arcuate fasciculus (AF). Using multimodal neuroimaging, we demonstrate that human left-handers (both male and female) with an atypical language lateralization show a rightward participation of language areas from the auditory cortex to the inferior frontal cortex when contrasting speech to tone perception and an enhanced interhemispheric anatomical and functional connectivity. Crucially, musicianship determines two different structural pathways to this outcome. Nonmusicians present a relation between atypical lateralization and intrahemispheric underdevelopment across the anterior AF, hinting at a dysregulation of the ontogenetic shift from an interhemispheric to an intrahemispheric brain. Musicians reveal an alternative pathway related to interhemispheric overdevelopment across the posterior CC and the auditory cortex. We discuss the heterogeneity in reaching atypical language lateralization and the relevance of early musical training in altering the normal development of language cognitive functions. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
33. Computational Analysis on the Influence of Normal Force in a Homogeneous Isotropic Microstretch Thermoelastic Diffusive Solid
- Author
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Kulvinder Singh, Iqbal Kaur, and Marin Marin
- Subjects
isotropic ,microstretch thermoelastic solid ,mass concentration source ,Laplace and Fourier transform ,diffusion ,Mathematics ,QA1-939 - Abstract
In this study, the identification of thermoelastic mass diffusion was examined on a homogeneous isotropic microstretch thermoelastic diffusion (HIMTD) solid due to normal force on the surface of half space. In the framework of Cartesian symmetry, the components of displacement, stresses, temperature change, and microstretch as well as couple stress were investigated with and without microstretch and diffusion. The expression of the field functions was obtained using the Laplace and Fourier transforms. So as to estimate the nature of the components of displacement, stresses, temperature change, and microstretch as well as couple stress in the physical domain, an efficient approximate numerical inverse Laplace and Fourier transform technique and Romberg’s integration technique was adopted. It was meticulously considered and graphically illustrated how mass diffusion and microstretch affect thermoelastic deformation. Our objective was to address the inquiry regarding the impact of thermoelastic mass diffusion and microstretch on the field functions in the presence of a mass concentration source within the medium. Specifically, we aimed to investigate how these phenomena amplify the aforementioned effect.
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- 2023
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34. Multiple Soliton Solutions for Coupled Modified Korteweg–de Vries (mkdV) with a Time-Dependent Variable Coefficient
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Haroon D. S. Adam, Khalid I. A. Ahmed, Mukhtar Yagoub Youssif, and Marin Marin
- Subjects
nonlinear models ,coupled mKdV ,time-dependent variable coefficient ,similarity transformation ,Hirota bilinear technique ,Mathematics ,QA1-939 - Abstract
In this manuscript, we implement analytical multiple soliton wave and singular soliton wave solutions for coupled mKdV with a time-dependent variable coefficient. Based on the similarity transformation and Hirota bilinear technique, we construct both multiple wave kink and wave singular kink solutions for coupled mKdV with a time-dependent variable coefficient. We implement the Hirota bilinear technique to compute analytical solutions for the coupled mKdV system. Such calculations are made by using a software with symbolic computation software, for instance, Maple. Recently some researchers used Maple in order to show that the bilinear method of Hirota is a straightforward technique which can be used in the approach of differential, nonlinear models. We analyzed whether the experiments proved that the procedure is effective and can be successfully used for many other mathematical models used in physics and engineering. The results of this study display that the profiles of multiple-kink and singular-kink soliton types can be efficiently controlled by selecting the particular form of a similar time variable. The changes in the solitons based on the changes in the arbitrary function of time allows for more applications of them in applied sciences.
- Published
- 2023
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35. Sobolev Estimates for the ∂¯ and the ∂¯-Neumann Operator on Pseudoconvex Manifolds
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Haroun Doud Soliman Adam, Khalid Ibrahim Adam Ahmed, Sayed Saber, and Marin Marin
- Subjects
∂ ¯ ,∂ ¯ -Neumann operator ,Kähler manifold ,q-convex domain ,Mathematics ,QA1-939 - Abstract
Let D be a relatively compact domain in an n-dimensional Kähler manifold with a C2 smooth boundary that satisfies some “Hartogs-pseudoconvexity” condition. Assume that Ξ is a positive holomorphic line bundle over X whose curvature form Θ satisfies Θ≥Cω, where C>0. Then, the ∂¯-Neumann operator N and the Bergman projection P are exactly regular in the Sobolev space Wm(D,Ξ) for some m, as well as the operators ∂¯N, ∂¯⋇N.
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- 2023
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36. Estrategias de aprendizaje de vocabulario en inglés mediadas por tecnología en contextos universitarios
- Author
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Alfredo Marin-Marin
- Subjects
Estrategias de aprendizaje ,vocabulario ,inglés ,mediación tecnológica ,Learning strategies ,vocabulary ,Education ,Education (General) ,L7-991 - Abstract
Este estudio tiene como objetivo describir las estrategias de aprendizaje de vocabulario en inglés mediadas por tecnología en ambientes universitarios. Los participantes fueron 205 estudiantes de lengua inglesa de una universidad del sureste mexicano, quienes fueron encuestados en línea para explorar sus acciones estratégicas de aprendizaje de vocabulario en inglés. Los resultados arrojaron un esquema de 13 categorías de estrategias de aprendizaje de vocabulario, siendo las más frecuentes la toma de notas y el uso de diccionarios y otras fuentes de consulta. En orden descendente también emergieron estrategias como la práctica de nuevas palabras en conversaciones y en escritura, las formas de repetición y memorización, el uso de películas, video y música, la lectura para incrementar el léxico, las asociaciones, entre otras. Los hallazgos cualitativos denotan una gran contribución de la tecnología como medio para ejecutar las diferentes estrategias de aprendizaje de vocabulario, en las que se refleja el trabajo independiente de los estudiantes. English vocabulary learning strategies mediated by technology in university contexts Abstract This study aims to describe technology-mediated English vocabulary learning strategies in university settings. The participants were 205 English-language students from a university in southeast Mexico, who were surveyed online to explore their strategic actions on English vocabulary. The results yielded a categorization of 13 types of vocabulary strategies, the most frequent being note-taking and the use of dictionaries and other sources of consultation. In descending order, strategies such as the practice of new words in conversations and in writing, forms of repetition and memorization, the use of movies, video and music, reading to increase vocabulary, associations, among others, also emerged. The qualitative findings showed a great contribution of technology as a means to use the different vocabulary learning strategies, in which the independent work of the students is reflected.
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- 2023
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- View/download PDF
37. Computational Intelligence Approach for Optimising MHD Casson Ternary Hybrid Nanofluid over the Shrinking Sheet with the Effects of Radiation
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Ahmad Zeeshan, Muhammad Imran Khan, Rahmat Ellahi, and Marin Marin
- Subjects
Casson hybrid nanofluid ,artificial neural networking ,MHD ,thermal analysis ,Porous sheet ,Technology ,Engineering (General). Civil engineering (General) ,TA1-2040 ,Biology (General) ,QH301-705.5 ,Physics ,QC1-999 ,Chemistry ,QD1-999 - Abstract
The primary goal of this research is to present a novel computational intelligence approach of the AI-based Levenberg–Marquardt scheme under the influence of backpropagated neural network (LMS-BPNN) for optimizing MHD ternary hybrid nanofluid using Casson fluid over a porous shrinking sheet in the existence of thermal radiation (Rd) effects. The governing partial differential equations (PDEs) showing the Casson ternary hybrid nanofluid are converted into a system of ordinary differential equations (ODEs) with suitable transformations. The numerical data is constructed as a reference with bvp4c (MATLAB built-in function used to solve a system of ODEs) by varying Casson fluid parameters (β), magnetic field (M), porosity (S), nanoparticle concentrations (ϕ1=ϕ2=ϕ3), and thermal radiation (Rd) effects across all LMS-BPNN scenarios. The numerical data-sheet is divided into 80% of training, 10% of testing, and 10% of validation for LMS-BPNN are used to analyze the estimated solution and its assessment with a numerical solution using bvp4c is discussed. The efficiency and consistency of LMS-BPNN are confirmed via mean squared error (MSE) based fitness curves, regression analysis, correlation index (R) and error histogram. The results show that velocity decreases as β grows, whereas velocity increase as M increases. The concentrations of nanoparticles and thermal radiations have increasing effects on θ0. To comprehend the dependability and correctness of the data gained from numerical simulations, error analysis is a key stage in every scientific inquiry. Error analysis is presented in terms of absolute error and it is noticed that the error between the numerical values and predicted values with AI is approximately 10−6. The error analysis reveals that the developed AI algorithm is consistent and reliable.
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- 2023
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38. Study of Thermoelectric Responses of a Conductive Semi-Solid Surface to Variable Thermal Shock in the Context of the Moore–Gibson–Thompson Thermoelasticity
- Author
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Sami F. Megahid, Ahmed E. Abouelregal, Sameh S. Askar, and Marin Marin
- Subjects
magneto-thermoelasticity ,varying heat ,MGT heat equation ,rotation ,modified Ohm’s law coefficient ,normal mode analysis ,Mathematics ,QA1-939 - Abstract
In this study, the Moore–Gibson–Thompson (MGT) concept of thermal conductivity is applied to a two-dimensional elastic solid in the form of a half-space. This model was constructed using Green and Naghdi’s thermoelastic model to address the infinite velocity problem of heat waves. It has been taken into account that the free surface of the medium is immersed in an electromagnetic field of constant intensity, undergoes thermal shock, and rotates with a uniform angular velocity. The governing equations of a modified version of Ohm’s law account for the impact of temperature gradients and charge densities. By using the method of normal mode analysis, an analytical representation of the studied physical fields was obtained. The effect of rotation and the modulus of modified Ohm’s law on the responses of the field distributions examined is discussed, along with accompanying graphical representations. Other thermoelastic models have been compared with the results of the proposed system when the relaxation time is ignored.
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- 2023
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- View/download PDF
39. Multibody Systems with Flexible Elements.
- Author
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Marin, Marin, Baleanu, Dumitru, Marin, Marin, and Vlase, Sorin
- Subjects
History of engineering & technology ,Technology: general issues ,Aedes Aegypti ,Extreme Light Infrastructure ,Fenchel-Legendre transform ,Fubini theorem ,Gibbs-Appell ,Hilbert's inequality ,Kane's equations ,Lagrange's equations ,Laplace transforms ,Light Sport Aircraft ,Monte Carlo algorithm ,Noether theory ,Prony method ,Wolbachia invasion ,aileron ,analytical dynamics ,asymmetry ,bolt ,conceptual aircraft design ,conserved quantity ,damping ,decile ,dynamic rigidity ,dynamics ,eccentric trajectory ,elastic bonds ,elastic characteristic ,elastic coupling ,elastic elements ,energy of accelerations ,experimental transitory vibrating regime ,finite element ,finite element method ,finite element method (FEM) ,flap ,flexible coupling ,fractional derivative ,gamma ray ,impulsive control ,initial matrix ,insulation ,joint time-frequency analysis ,laser ,linear motion ,magnetorheological fluid ,matrix pencil method ,measure of skewness ,mosquito borne diseases ,multibody ,multibody system (MBS) ,multibody systems with flexible elements ,n/a ,non-collinearly shafts ,non-metallic element ,non-metallic elements ,nonlinear system ,nuclear installation ,numerical simulation ,planar mechanism ,propulsion drive ,reusable launch vehicles ,robotics ,skin tissues ,soft landing ,stability ,stiffness ,stiffness matrix ,strands wire rope ,sustainability ,symmetric profile ,symmetry ,thermal damages ,time scale ,time scales ,vibrations ,weight estimation ,wind water pump ,wing - Abstract
Summary: Multibody systems with flexible elements represent mechanical systems composed of many elastic (and rigid) interconnected bodies meeting a functional, technical, or biological assembly. The displacement of each or some of the elements of the system is generally large and cannot be neglected in mechanical modeling. The study of these multibody systems covers many industrial fields, but also has applications in medicine, sports, and art. The systematic treatment of the dynamic behavior of interconnected bodies has led to an important number of formalisms for multibody systems within mechanics. At present, this formalism is used in large engineering fields, especially robotics and vehicle dynamics. The formalism of multibody systems offers a means of algorithmic analysis, assisted by computers, and a means of simulating and optimizing an arbitrary movement of a possibly high number of elastic bodies in the connection. The domain where researchers apply these methods are robotics, simulations of the dynamics of vehicles, biomechanics, aerospace engineering (helicopters and the behavior of cars in a gravitational field), internal combustion engines, gearboxes, transmissions, mechanisms, the cellulose industry, simulation of particle behavior (granulated particles and molecules), dynamic simulation, military applications, computer games, medicine, and rehabilitation.
40. Las competencias digitales del traductor contemporáneo en México
- Author
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Alfredo Marin-Marin and Maria Isabel Hernández-Romero
- Subjects
competencias digitales ,tic ,traducción asistida por computadora (tac) ,traducción ,formación de traductores ,Philology. Linguistics ,P1-1091 ,Education (General) ,L7-991 - Abstract
El uso eficaz de las tecnologías de la información y la comunicación, en forma de competencia digital, se ha convertido en una parte indispensable de la vida humana en el siglo XXI, no solo para el ocio sino también para el trabajo. Este estudio tiene como objetivo investigar el desarrollo de la competencia digital en el ámbito de la traducción, considerando variables personales como el género, la edad, la experiencia en la traducción y el grado autopercibido de competencia digital. Los participantes fueron 201 traductores que fueron encuestados a nivel nacional y virtualmente a través de un cuestionario adaptado de Competencias Digitales de Traductores Contemporáneos, que engloba 87 ítems agrupados en nueve categorías. Los resultados mostraron que la seguridad digital y la ofimática fueron las categorías de competencia digital más reportadas, mientras que la planificación de proyectos y la traducción asistidas por computadora fueron las menos reportadas, aunque en general toda la muestra obtuvo calificaciones relativamente bajas en competencia digital (por debajo de 1.6 en una escala de 0-3). En cuanto a las variables personales, se encontraron diferencias de género en las competencias digitales dentro de la categoría de localización y traducción audiovisual; es decir, los traductores del género masculino indicaron un mayor uso de dichas competencias. Además, la edad de los traductores se correlacionó positivamente con cinco categorías de competencia digital y los años de experiencia traductora se correlacionó con las nueve categorías, lo que significa que esta última surgió como un mejor descriptor. Por demás interesante, se observaron gráficamente diferencias significativas en los tres niveles de autopercepción de competencias, lo que refleja una alta coherencia en lo que informaron los participantes por cada competencia en particular. Finalmente, se discuten algunas implicaciones pedagógicas y profesionales en aras del diseño curricular y la capacitación y el desarrollo del traductor profesional.
- Published
- 2021
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41. An Axially Compressed Moving Nanobeam Based on the Nonlocal Couple Stress Theory and the Thermoelastic DPL Model
- Author
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Ahmed E. Abouelregal, S. S. Askar, and Marin Marin
- Subjects
nanobeams ,nonlocality ,DPL model ,axial excitation ,MCS model ,Mathematics ,QA1-939 - Abstract
This article introduces a new model that can be used to describe elastic thermal vibrations caused by changes in temperature in elastic nanobeams in response to transverse external excitations. Using the idea of nonlocal elasticity and the dual-phase lagging thermoelastic model (DPL), the coupled equations of motion and heat transfer were derived to explain small-scale effects. Additionally, modified couple stress theory (MCST) and Euler–Bernoulli (EB) beam assumptions were considered. The proposed theory was verified by considering the thermodynamic response of nanobeams moving horizontally at a constant speed while one end is subjected to a periodic thermal load. The system of governing equations has been solved numerically with the help of Laplace transforms and one of the tested evolutionary algorithms. The effects of changing the nonlocal modulus, the magnitude of the external force, and the length scale parameter on the system fields were investigated. It is also shown how the behavior of the thermal nanobeam changes depending on the phase delay factors in addition to the horizontal velocity of the beam. To determine this model’s accuracy, its results were compared with the results of the classical continuity model and thermoelastic concepts. The numerical results show that when the nanobeam moves, the length scale can change the studied thermal and mechanical vibration wave patterns and physical fields. Additionally, during thermally stimulated vibrations, thermodynamic effects that have implications for the dynamic design and performance improvement of nanostructures must be considered.
- Published
- 2023
- Full Text
- View/download PDF
42. An Investigation into Thermal Vibrations Caused by a Moving Heat Supply on a Spinning Functionally Graded Isotropic Piezoelectric Bounded Rod
- Author
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Ahmed E. Abouelregal, Marin Marin, and Sahar M. Abusalim
- Subjects
piezoelectric rod ,DPL thermoelasticity ,gradient index ,heat sources ,electric potential ,Mathematics ,QA1-939 - Abstract
By laminating piezoelectric and flexible materials, we can increase their performance. Therefore, the electrical and mechanical properties of layered piezoelectric materials subjected to electromechanical loads and heat sources must be analyzed theoretically and mechanically. Since the problem of infinite wave propagation cannot be addressed using classical thermoelasticity, extended thermoelasticity models have been derived. The thermo-mechanical response of a piezoelectric functionally graded (FG) rod due to a moveable axial heat source is considered in this paper, utilizing the dual-phase-lag (DPL) heat transfer model. It was supposed that the physical characteristics of the FG rod varied exponentially along the axis of the body. Both ends hold the rod, and there is no voltage across them. The Laplace transform and decoupling techniques were used to obtain the physical fields that have been analyzed. A range of heterogeneity, rotation, and heat source velocity measures were used to compare the results presented here and those in the previous literature.
- Published
- 2023
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- View/download PDF
43. Generalized MGT Heat Transfer Model for an Electro-Thermal Microbeam Lying on a Viscous-Pasternak Foundation with a Laser Excitation Heat Source
- Author
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Ahmed E. Abouelregal, Marin Marin, and Sameh S. Askar
- Subjects
Winkler-Pasternak foundation ,microbeams ,laser heating ,MGT model ,Mathematics ,QA1-939 - Abstract
In this study, the effects of laser light on the heat transfer of a thin beam heated by an applied current and voltage are investigated. Laser heating pulses are simulated as endogenous heat sources with discrete temporal properties. The heat conduction equation is developed using the energy conservation equation and the modified Moore–Gibson–Thompson (MGT) heat flow vector. Thermal and structural analysis of Euler–Bernoulli microbeams is provided with the support of visco-Pasternak’s base with three parameters. Using the Laplace transform method, an approximation of an analytical solution is found for the field variables being examined. A comparison was made of the impacts of laser pulse length, the three foundation coefficients, and the thermal parameters on the responses to changes in measured thermophysical fields, such as deflection and temperature.
- Published
- 2023
- Full Text
- View/download PDF
44. Photo-Thermoelasticity Heat Transfer Modeling with Fractional Differential Actuators for Stimulated Nano-Semiconductor Media
- Author
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Sameh Askar, Ahmed E. Abouelregal, Marin Marin, and Abdelaziz Foul
- Subjects
nonlocal thermoelasticity ,photo-excitation ,ramp-type ,fractional Atangana and Baleanu operator ,Mathematics ,QA1-939 - Abstract
The term “optical thermoelasticity” is used to describe how the optical properties of a material change when it is heated or deformed mechanically. The issues of effective elastic and heat transfer symmetry are given particular focus. This study gives a new nonlocal theoretical formulation for a thermo-optical elastic material that can be used to describe how thermomechanical waves and plasma waves relate to the symmetry of semiconductor materials such as silicon or germanium. The suggested model includes the idea of nonlocal elasticity and a modified Moore–Gibson–Thompson (MGT) heat conduction equation with nonsingular fractional derivative operators. The heat transfer equation has been converted and generalized into a nonsingular fractional form based on the concepts of Atangana and Baleanu (AB) using the Mittag–Leffler kernel. The developed model is used to examine the effect of thermal loading by ramp-type heating on a free plane of unbounded semiconductor material symmetries. Using the Laplace transform approach, we may analytically obtain linear solutions for the investigated thermo-photo-elastic fields, such as temperature. The Discussion section includes a set of graphs that were generated using Mathematica to evaluate the impact of the essential parameters.
- Published
- 2023
- Full Text
- View/download PDF
45. Effects of Dipole-Dipole Interaction and Time-Dependent Coupling on the Evolution of Entanglement and Quantum Coherence for Superconducting Qubits in a Nonlinear Field System
- Author
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Kamal Berrada, Mariam Algarni, Marin Marin, and Sayed Abdel-Khalek
- Subjects
time-dependent coupling ,superconducting qubit ,dipole–dipole effect ,nonlinear field ,quantum coherence ,Mathematics ,QA1-939 - Abstract
We examine the temporal comportment of formation entanglement and quantum coherence in a quantum system made up of two superconducting charge qubits (SC-Qs), in the case of two different classes of nonlinear field. The results discussed the impact role of time-dependent coupling (T-DC) and dipole-dipole interaction (D-DI) on the temporal comportment of quantum coherence and entanglement in the ordinary and nonlinear field. In addition, we show that the main parameters of the quantum model affect the entanglement of formation and the coherence of the system in a similar way.
- Published
- 2023
- Full Text
- View/download PDF
46. Numerical Analysis of the Cylindrical Shell Pipe with Preformed Holes Subjected to a Compressive Load Using Non-Uniform Rational B-Splines and T-Splines for an Isogeometric Analysis Approach.
- Author
-
EL Fakkoussi, Said, Koubaiti, Ouadie, Elkhalfi, Ahmed, Vlase, Sorin, and Marin, Marin
- Subjects
ISOGEOMETRIC analysis ,FINITE element method ,COMPUTER-aided engineering ,CYLINDRICAL shells ,NEUMANN problem - Abstract
In this paper, we implement the finite detail technique primarily based on T-Splines for approximating solutions to the linear elasticity equations in the connected and bounded Lipschitz domain. Both theoretical and numerical analyses of the Dirichlet and Neumann boundary problems are presented. The Reissner–Mindlin (RM) hypothesis is considered for the investigation of the mechanical performance of a 3D cylindrical shell pipe without and with preformed hole problems under concentrated and compression loading in the linear elastic behavior for trimmed and untrimmed surfaces in structural engineering problems. Bézier extraction from T-Splines is integrated for an isogeometric analysis (IGA) approach. The numerical results obtained, particularly for the displacement and von Mises stress, are compared with and validated against the literature results, particularly with those for Non-Uniform Rational B-Spline (NURBS) IGA and the finite element method (FEM) Abaqus methods. The obtained results show that the computation time of the IGA based on the T-Spline method is shorter than that of the IGA NURBS and FEM Abaqus/CAE (computer-aided engineering) methods. Furthermore, the highlighted results confirm that the IGA approach based on the T-Spline method shows more success than numerical reference methods. We observed that the NURBS IGA method is very limited for studying trimmed surfaces. The T-Spline method shows its power and capability in computing trimmed and untrimmed surfaces. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
47. Isogeometric Resolution of the Brinkman-Forchheimer-Darcy.
- Author
-
Koubaiti, Ouadie, El Ouadefli, Lahcen, Elkhalfi, Ahmed, El Akkad, Abdeslam, Vlase, Sorin, and Marin, Marin
- Subjects
FINITE element method ,STREAM function ,DIRICHLET problem ,FLUID flow ,POROUS materials - Abstract
In this paper, we employ the finite element method based on non-uniform rational B-splines function approximation to solve the nonlinear Brinkman-Forcheimer-Darcy equation in a simply connected and bounded Lipschitz domain. We provide both theoretical and numerical studies of the Dirichlet boundary problem. Utilizing a stream function formulation, we demonstrate the well-posedness of the weak form. Furthermore, we approximate the velocity and pressure fields by linearizing the nonlinear terms, resulting in an algebraic system. This Non-uniform rational B-splines method is more effective in terms of the exact representation of the geometry and the good approximation of the solution compared to the virtual element method. To validate the effectiveness of the non-uniform rational B-splines Finite Element Method, we conduct numerical simulations of fluid flow in porous media. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
48. Elastic moduli for a rectangular fibers array arrangement in a two phases composite.
- Author
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Katouzian, Mostafa, Vlase, Sorin, and Marin, Marin
- Subjects
FIBROUS composites ,ELASTIC modulus ,RESEARCH personnel ,FIBERS ,TOPOLOGY - Abstract
Determining the elastic constants for composites with fibers is a continuous concern of researchers, being studied and analyzed different types of materials, with different topologies and geometries. In the work, these constants are determined for a composite reinforced with cylindrical fibers with a rectangular packing. The obtained results are applied for the calculation of these constants for a composite used in engineering applications. [ABSTRACT FROM AUTHOR]
- Published
- 2024
- Full Text
- View/download PDF
49. The mixed problem in the theory of strain gradient thermoelasticity approached with the Lagrange identity
- Author
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Marin Marin, Sorin Vlase, and Ioan Tuns
- Subjects
Strain gradient thermoelasticity ,Lagrange’s identity ,Uniqueness ,Continuous dependence ,Analysis ,QA299.6-433 - Abstract
Abstract In our paper we address the thermoelasticity theory of the strain gradient. First, we define the mixed problem with initial and boundary data in this context. Then, with the help of an identity of Lagrange type, we prove some uniqueness theorems with regards to the solution of this problem and two theorems with regards to the continuous dependence of solutions on loads and on initial data. We want to highlight that the use of the approach proposed in this work enables obtaining results without recourse to any boundedness assumptions on the coefficients or to any laws of conservation of energy. Also, we do not impose restrictions on thermoelastic coefficients regarding their positive definition.
- Published
- 2020
- Full Text
- View/download PDF
50. An extension of Gronwall inequality in the theory of bodies with voids
- Author
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Marin Marin, Ailawalia Praveen, and Tuns Ioan
- Subjects
dipolar bodies ,voids ,internal state variables ,gronwall’s inequality ,uniqueness ,Physics ,QC1-999 - Abstract
In this paper, we obtain a generalization of the Gronwall’s inequality to cover the study of porous elastic media considering their internal state variables. Based on some estimations obtained in three auxiliary results, we use this form of the Gronwall’s inequality to prove the uniqueness of solution for the mixed initial-boundary value problem considered in this context. Thus, we can conclude that even if we take into account the internal variables, this fact does not affect the uniqueness result regarding the solution of the mixed initial-boundary value problem in this context.
- Published
- 2020
- Full Text
- View/download PDF
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