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This manuscript addresses a significant research gap in the study by employing a mathematical model of photo thermoelastic wave propagation in a rotator semiconductor medium under the effect of a magnetic field and initial stress, as well as ramp-type heating. The considered model is formulated during the photothermal theory and in two-dimensional (2D) electronic-elastic deformation. The governing equations represent the interaction between the primary physical parameters throughout the process of photothermal transfer. Computational simulations are performed to determine the temperature, carrier density, displacement components, normal stress, and shear stress using the application of Lame's potential and normal mode analysis. Numerical calculations are carried out and graphically displayed for an isotropic semiconductor like silicon (Si) material. Furthermore, comparisons are made with the previous results obtained by the others, as well as in the presence and absence of magnetic field, rotation, and initial stress. The obtained results illustrate that the rotation, initial stress, magnetic field, and ramp-type heating parameter all have significant effects. This investigation provides valuable insights into the synergistic dynamics among a magnetization constituent, semiconducture structures, and wave propagation, enabling advancements in nuclear reactors' construction, operation, electrical circuits, and solar cells. [ABSTRACT FROM AUTHOR]

Purpose: The current manuscript is devoted to scrutinize the effects of nonlocal parameter, internal heat source, and initial stress on the interactions caused by a moving thermal load in a generalized thermoelastic solid half-space. Methods: The medium is assumed to be initially stressed and has uniform temperature. The problem has been modeled by employing the modified Green–Lindsay theory to carry out the investigation.The governing equations are handled with an analytical–numerical technique based on normal mode. In this technique, one gets exact solution without any assumed restrictions on the field variables. The normal mode technique is applicable to a wide range of problems in thermodynamics and thermoelasticity. Results and Conclusions: Expressions for displacement, stresses, and temperature in the physical domain are obtained. The problem is illustrated by computing the numerical values of the field variables for a copper like material. Comparisons of the physical quantities are shown in figures to study the effects of nonlocal parameter, internal heat source, initial stress, and velocity of the thermal load. Some particular cases of interest have also been inferred from the present problem. Originality/Value: In this article, we have investigated the effects of nonlocal parameter, internal heat source, initial stress, and velocity of the thermal load on the thermoelastic medium. Although various investigations do exist to observe the disturbances in a thermoelastic medium under the effects of different parameters, but the work in its present form, i.e., the disturbances in a thermoelastic medium in the presence of initial stress, nonlocal effect, and internal heat source under modified Green–Lindsay model have not been studied till now. The present work is useful and valuable for the analysis of problems at nanoscale level involving moving heat source, initial stress, and elastic deformation. [ABSTRACT FROM AUTHOR]

Objective: This study investigates the influence of the Thomson effect on the behavior of a diffusive magneto-thermoelastic medium with initial stress and the dual-phase-lag (DPL) model. Methods: The normal mode analysis is utilized for solving the problem. The copper material was chosen for numerical assessments. The results are presented graphically for various physical quantities. Results: A comparison is made between the DPL model and the Lord and Shulman (L-S) theory, both in the absence and presence of the Thomson effect parameter as well as at two different values for the phase lag of heat flux. Conclusions: The findings provide insights into the impact of the Thomson effect on the behavior of the magneto thermoelastic medium, highlighting the differences between the DPL model and the L-S theory in different scenarios. This type of work has many applications in rock mechanics, geophysics, and petroleum industries. This work may be helpful for those researchers who are working in material science, smart materials, and new material designers. [ABSTRACT FROM AUTHOR]

In this study we apply multi-temperatures theory to the two-dimensional deformation of a homogeneous, isotropic, thermoelastic half-space with voids under the influence of initial stress. The problem was developed within the context of Lord-Shulman theory. The methodology used here is normal mode analysis to solve the problem and get exact expressions for displacements, stresses, strain, conductive temperature, thermodynamic temperature, and change in volume fraction field. These quantities constructed in the physical domain are displayed graphically. The numerical results of these quantities for magnesium crystal-like material are shown to represent the influence of multi- temperatures and initial stress. [ABSTRACT FROM AUTHOR]

The purpose of the current study is to establish the deformation in a two-dimensional, isotropic, rotating half-space with gravitational field and initial stress that also has a heat source at the half boundary-space under magnetic field for Green and Naghdi II model. For the solution of the required problem, the methodologies of normal mode and approximate eigenvalues has been utilized. For graphical representation of different physical quantities such as displacement components, stress components, as well as the temperature distribution, Matlab software has been used. These results were compared with previous results in the same direction, and it was found that the treatment method for the aforementioned problem may form a basis for examining the effect of each of the gravitational field, magnetic field, rotation, and initial pressure on a thermally elastic body in the form of half an area without energy decay when neglecting some external influences. [ABSTRACT FROM AUTHOR]

The memory response of an initially stressed half-space comprising a double poro-magneto-thermoelastic material with voids and microtemperatures (DPMTMWVM) under the dual-phase-lag heat conduction law is investigated in this article. With the aid of normal mode technique, the non-dimensional equations of motion are solved to derive the theoretical expressions of the displacements, temperature, microtemperatures, void volume fractions, stresses, and heat flux moments. The impacts of magnetic field, kernel functions, and initial stress on the aforementioned distributions are demonstrated through several graphs. Moreover, the memory-dependent Lord-Shulman and dual-phase-lag thermoelasticity theories are compared graphically to exhibit the variations in the field variables. To the best of the authors' knowledge, the memory response of a double poro-magneto-thermoelastic half-space with voids and microtemperatures is not analyzed so far. Therefore, DPMTMWVM under memory-dependent dual-phase-lag theory is considered in this study. [ABSTRACT FROM AUTHOR]

The aim of this paper is to study the thermoelastic interactions in a nonlocal initially stressed fiber-reinforced transversely isotropic half-space with microtemperatures. The formulation is established in the context of Green-Naghdi theory of thermoelasticity without energy dissipation. Normal mode technique is used to obtain the general solution for a set of boundary conditions. The expressions of different physical variables such as displacement distribution, stress distribution, temperature field and microtemperatures are obtained in the physical domain and numerical computations are carried out with the help of MATLAB software. Comparisons are made among the results for different values of nonlocal parameter and time along with the results obtained in the presence and absence of fiber-reinforcement and microtemperature. The outcomes point out a strong impact of the nonlocal parameter, fiber-reinforcement, microtemperatures and time on the field variables. Some particular cases of special interest have also been deduced to show the comparison between the present results and previous investigations. [ABSTRACT FROM AUTHOR]

The present research paper handles a 2D deformation in a homogeneous thermoelastic photothermal semiconducting medium subjected to a magnetic field and initial stress with an internal heat source. The problem is framed in the dimensionless form and resolved utilizing the normal mode analysis method. Based on a numerical study using the parameters of silicon as a target, the physical data were attained and tested. They presented the magnetic field and initial stress. It is observed that the magnetic field and initial stress exert some influence in the P-waves in a photothermal semiconducting medium due to internal heat source. The distribution of these quantities was represented graphically with and without the internal heat source, as well as the magnetic field and the initial stress. [ABSTRACT FROM AUTHOR]

The aim of the present study is concerned with an electromagnetic field, gravity field, rotation and initial stress on generalized thermoelastic medium with voids in the dual-phase-lag model (DPL) and Lord-Shulman (L-S). The problem deals with more applications in geophysics, engineering, acoustics, astronomy, industry, and petroleum extraction. A normal mode method is proposed to analyze the problem and obtain numerical solutions for the displacement components, stresses, temperature distribution and change in the volume fraction field. The results of the physical quantities have been illustrated graphically by comparison between (DPL) and Lord-Schulman (L–S) theory in the presence and absence of the considered variables. The results indicate that the effect of the voids, rotation, initial stress and gravity field is very pronounced. If the external previous parameters neglect, the results obtained considering diffusion are deduced to the results obtained by Abo-Dahab and Abd-Alla. [ABSTRACT FROM AUTHOR]

This article is concerned with a study of electro–magneto–thermoelastic interactions under Green–Naghdi theory-III of generalized thermoelasticity in the presence of initial stress. The fundamental equations of the two-dimensional problem in orthotropic medium under the influence of electric and magnetic field are obtained in the form of a vector–matrix of differential equation by employing normal mode analysis which is then solved by eigenfunction expansion method. The solution for temperature distribution, displacements, and stress components is obtained. The effect of magnetic field, electric field and phase velocity on the considered parameters is observed in the figures. [ABSTRACT FROM AUTHOR]

In this paper, the main aim is estimation the effect of magnetic field, initial stress on reflection waves phenomena in a semiconductor photothermal diffusion medium considering Classical (CT) and dual-phase-lag (DPL) theories. The problem is formulated considering a generalized model for plasma, thermoelastic waves under thermomechanical response of a reflection of photothermal diffusion for semiconductor material. Maxwell's equations are applied taking into account absence of displacement current and infinite conducting medium. The boundary conditions are applied for mechanical and Maxwell's stresses, temperature gradient, chemical reaction, and diffusion on the interface adjacent to the vacuum. The reflection coefficient ratios have been obtained as functions of angle of incidence, magnetic field, initial stress, diffusion, photothermal, and semiconducting analytically and displayed graphically. A comparison has been made between the CT and DPL theories, as well as between the present results and the results obtained by others. The results of the present paper are a generalization of photothermal semiconductor medium and deduces to a special case if the new parameters are neglected. If the initial stress and magnetic field neglect, the results obtained in the current paper is deduces to the results obtained by others as a special case from this study. [ABSTRACT FROM AUTHOR]

We discuss the reflection waves phenomenon in a generalized thermoelastic micropolar half-space under initial stress, electromagnetic field, and diffusion based on two models: Lord-Shulman (LS) and Dual-Phase-Lag (DPL). The governing equations are formulated by considering new parameters as a constitutive equation, equation of motion, diffusion equation, and micropolar equation in the context of two thermoelastic models. Lame potentials are used to separate the equations to dilatational and shear components. So, the characteristic equation indicates to five reflected waves due to the motion, diffusion, micropolar, and thermoelastic effects. The boundary conditions have been applied concerning the mechanical and maxwell stresses, temperature, diffusion, and micropolar. The reflection coefficients ratios are calculated for the general case in the presence of thermodiffusion and microplarity, and the absence of microplarity of the medium. The effect of the initial stress, relaxation times, electromagnetic field, and angle of incidence on the reflection coefficients for thermal wave incidents are displayed graphically to show the physical meaning of the phenomenon. We compare our results which we obtain by using the external parameters effect with other results. The specific loss of energy has been also computed analytically and presented by graph. [ABSTRACT FROM AUTHOR]

The objective of this study is to investigate the reflection phenomena of plane waves from the free surface of an initially stressed rotating nonlocal micropolar transversely isotropic generalized thermoelastic half-space considering Lord–Shulman (LS) and Green–Lindsay (GL) theory. Closed-form expressions for the phase velocities of reflected quasi-longitudinal displacement (qLD), quasi-transverse displacement (qTD), quasi-transverse microrotation (qTM) and quasi-thermal (qT) waves are derived, and boundary conditions yield a system of algebraic equations to determine reflection coefficients. Energy ratios of the reflected waves are also calculated, and it is observed that the law of conservation of energy holds good in the entire reflection phenomena. Numerical results for phase velocity and reflection coefficients are computed using MATLAB examining the effects of initial stress, rotation and nonlocal parameters. Comparisons between micropolar transversely isotropic thermoelastic (MTIT) and nonlocal micropolar transversely isotropic thermoelastic (NMTIT) media highlight the significant influence of these parameters on wave behavior. The model is validated by reducing the problem to a specific case and matching it with established results. The findings are graphically demonstrated providing new insights into wave propagation in anisotropic micropolar thermoelastic materials and significant influences of initial stress, rotation and nonlocal parameters on phase velocity and reflection coefficients offering insights for geophysical exploration. [ABSTRACT FROM AUTHOR]

Investigated is a novel model in the photo-thermoelasticity theory that takes into account the impact of porosity and initial stress. A generalized photo-thermoelastic that is initially stressed and has voids is taken into consideration for the general plane strain problem. The solutions for the fundamental variables in two dimensions are obtained using the Laplace–Fourier transforms method in two dimensions (2D). Physical fields such as temperature, carrier concentration, normal displacement, and change in volume fraction field can all be solved analytically. The plasma of electrons, thermal load, and mechanical boundary conditions at the porosity medium's free surface are used to show certain illustrations. The context of the Laplace–Fourier transformation inversion operations yields complete solutions. To complete the numerical simulation and compare several thermal memories under the influence of the porosity parameters, silicon (Si), a semiconductor porosity material, is used. The main physical variables are described and graphically displayed with the new parameters. [ABSTRACT FROM AUTHOR]

This work aims to assess the response of viscoelastic Kelvin–Voigt microscale beams under initial stress. The microbeam is photostimulated by the light emitted by an intense picosecond pulsed laser. The photothermal elasticity model with dual-phase lags, the plasma wave equation and Euler–Bernoulli beam theory are utilized to construct the system equations governing the thermoelastic vibrations of microbeams. Using the Laplace transform technique, the problem is solved analytically and expressions are provided for the distributions of photothermal fields. Taking aluminum as a numerical example, the effect of the pulsed laser duration coefficient, viscoelasticity constants and initial stress on photothermal vibrations has been studied. In addition, a comparison has been made between different models of photo-thermoelasticity to validate the results of the current model. Photo-microdynamic systems might be monolithically integrated on aluminum microbeams using microsurface processing technology as a result of this research. [ABSTRACT FROM AUTHOR]

The present paper investigates the reflection coefficient of thermoelastic plane waves at the free surface of an elastic half-space influenced by initial stress and temperature-dependent properties in the presence of thermal loading bounded by the three-phase-lag (3PHL) thermoelastic model. It revealed three plane waves, i.e. (thermal wave (T-wave), P-wave, and SV-wave). It provided the numerical solution and presented the effect of initial stress and temperature-dependent properties of the reflection coefficient graphically. Moreover, the paper utilized the altered reflected elastic waves because of initial stress and temperature-dependence to identify the more accurate nature of waves reflection, especially seismic waves. [ABSTRACT FROM AUTHOR]

This paper studies the generalized magneto-thermoelastic problem with microtemperatures, voids taking into account initial stress and modified Ohm's law under three theories. The analytical solution is obtained by normal modes and expressions for micro temperature, temperature distribution, displacement, components of heat flux, change in the volume fraction field as well as stress components are calculated. The effect of initial stress and thermal shock is observed on desired field variables. The results are established graphically for all physical quantities and variation is done for three theories due to the effect of modified Ohm's law coefficient. [ABSTRACT FROM AUTHOR]

The semiconductor elastic medium in the context of the photothermal theory under the influence of rotation field is studied. A novel model of the governing equations is investigated due to the refined multi-phase-lags with the thermal relaxation times of the heat equation with the hydrostatic initial stress during transport process of the photothermal phenomenon. The interaction between the multi-waves of elastic-thermal-plasma is obtained. The normal mode method in the two dimensions is applied to obtain the exact solutions of the basic physical quantities under investigation. Plasma, thermal and mechanical loads have been applied on the free surface of the semi-infinite semiconductor elastic medium to get the complete solutions of the basic physical fields. Some comparisons are shown graphically and they are discussed as a function of thermal memories with the variation of some parameters. Silicon (Si) material is used to make the numerical simulation and to display the sensitivity to the variation of the rotation parameter.

The present investigation is intended to demonstrate the magnetic field, relaxation time, hydrostatic initial stress, and two temperature on the thermal shock problem. The governing equations are formulated in the context of Lord-Shulman theory with the presence of bodily force, two temperatures, thermal shock, and hydrostatic initial stress. We obtained the exact solution using the normal mode technique with appropriate boundary conditions. The field quantities are calculated analytically and displayed graphically under thermal shock problem with effect of external parameters respect to space coordinates. The results obtained are agreeing with the previous results obtained by others when the new parameters vanish. The results indicate that the effect of magnetic field and initial stress on the conductor temperature, thermodynamic temperature, displacement and stress are quite pronounced. In order to illustrate and verify the analytical development, the numerical results of temperature, displacement and stress are carried out and computer simulated results are presented graphically. This study helpful in the development of piezoelectric devices. [ABSTRACT FROM AUTHOR]

This paper's main objective is to study the two-dimensional deformation of the thermoelastic micro-elongated solid with the effect of initial stress on the model of dual-phase-lag and the theory of Lord and Shulman (L-S). The interface of the elastic half-space and the thermoelastic micro-elongated half-space is utilized to apply mechanical force. The solution has been made using the normal mode analysis method. For aluminum epoxy, numerical simulations are done and graphically presented to demonstrate the presence and complete absence of initial stress on the various physical quantities. [ABSTRACT FROM AUTHOR]

In this paper, we investigate a volume fraction, electromagnetic field, photothermal, and initial stress impact on a homogeneous isotropic semiconducting generalized thermoelasticity solid. Three generalized thermoelasticity theories are considered: classical dynamical (CD), Lord and Shulman (LS), and dual‐phase‐lags (DPL). The equations governing the problem are presented considering the voids, photothermal, semiconducting, initial stress, and parameters concerning the theory of thermoelasticity in a generalized form. We applied the normal mode technique analysis to solve the algebraic system of equations in this phenomenon under suitable boundary conditions. The results showed that the photothermal, voids as a volume fraction, process of semiconductor, electromagnetic field, thermal relaxation times, and initial stress have a significant impact on the phenomenon. The physical quantities with some analytical comparisons are introduced analytically and displayed in graphs. A comparison was made between the obtained results and the works presented by others. If the volume fraction, electromagnetic field, and initial stress are neglected, the results obtained are deduced to Abo‐Dahab and Lotfy as a special case from the present study. The results obtained with neglecting the external parameters, viz, electromagnetic field, initial stress, voids, and phase lags, and considering the Laplace transform technique agree with the results of other works. [ABSTRACT FROM AUTHOR]

In this article, a novel model of the magneto-thermoelasticity theory is introduced in the context of the photothermal transport process. The chemical action and initial stress (IS) have been used to describe the mass diffusion during the magneto-photothermal diffusion (MPD) theory. The basic idea depends on the study on the coupling between plasma waves (which describe the quasi-particles of materials), the elastic waves (which describe the change of strains) and the thermal waves (which describe temperature fields). The study focuses on the impact of the chemical potential through the diffusive material concentration process of the circular plate. The one-dimensional Laplace transform is used to obtain the main physical fields under investigation. The mechanical-thermal-strain-plasma loads are applied on the cylindrical surface to determine the exact solution of physical fields. The Laplace transformation inversion is used numerically based on the Fourier expansion method. Physical quantities of silicon (which is an example of a polymer nano-composite semiconductor) are numerically calculated and graphically presented and theoretically discussed. Some comparisons are made to illustrate the results. [ABSTRACT FROM AUTHOR]

In this paper, we investigated the primary wave (p-wave) and shear (SV-wave) reflection and refraction during solid–liquid media under three thermoelastic theories and electromagnetic field with and without initial stress and gravity. We will deal the problem of reflection and refraction of thermoelastic waves at interface between two different media in the presence of initial stress and magnetic field in the context of three thermoelastic theories: CT (Classical theory), GL (Green–Lindsay) and DPL (Dual-Phase-Lag). Boundary conditions at the interface between the two media concern: (i) continuity of the displacement, (ii) neglecting the tangential displacement, (iii) continuity of normal force per unit initial area, (iv) neglecting the tangential stress and continuity of the temperature have been considered. The reflection and refraction coefficients for the incident p- and SV-waves have been obtained as functions of angle of incidence, initial stress, electromagnetic field, and gravity. Special cases for presence or absence of gravity or initial stress are investigated. The magnitudes of reflection and refraction coefficients ratios for the incident waves have been computed numerically and displayed in graphs to show the physical meaning of the phenomenon. [ABSTRACT FROM AUTHOR]

In this research article, the propagation of the plane waves in an initially stressed rotating magneto-thermoelastic solid half-space in the context of fractional-order derivative thermoelasticity is studied. The governing equations in the x–z plane are formulated and solved to obtain a cubic velocity equation that indicates the existence of three coupled plane waves. A reflection phenomenon for the incidence of a coupled plane wave for thermally insulated/isothermal surface is studied. The plane surface of the half-space is subjected to impedance boundary conditions, where normal and tangential tractions are proportional to the product of normal and tangential displacement components and frequency, respectively. The reflection coefficients and energy ratios of various reflected waves are computed numerically for a particular material and the effects of rotation, initial stress, magnetic field, fractional-order, and impedance parameters on the reflection coefficients and energy ratios are shown graphically. [ABSTRACT FROM AUTHOR]

The bending of the Euler-Bernoulli micro-beam has been extensively modeled based on the modified couple stress (MCS) theory. Although many models have been incorporated into the literature, there is still room for introducing an improved model in this context. In this work, we investigate the thermoelastic vibration of a micro-beam exposed to a varying temperature due to the application of the initial stress employing the MCS theory and generalized thermoelasticity. The MCS theory is used to investigate the material length scale effects. Using the Laplace transform, the temperature, deflection, displacement, flexure moment, and stress field variables of the micro-beam are derived. The effects of the temperature pulse and couple stress on the field distributions of the micro-beam are obtained numerically and graphically introduced. The numerical results indicate that the temperature pulse and couple stress have a significant effect on all field variables. [ABSTRACT FROM AUTHOR]

The semiconductor elastic medium in the context of the photothermal theory under the influence of rotation field is studied. A novel model of the governing equations is investigated due to the refined multi-phase-lags with the thermal relaxation times of the heat equation with the hydrostatic initial stress during transport process of the photothermal phenomenon. The interaction between the multi-waves of elastic-thermal-plasma is obtained. The normal mode method in the two dimensions is applied to obtain the exact solutions of the basic physical quantities under investigation. Plasma, thermal and mechanical loads have been applied on the free surface of the semi-infinite semiconductor elastic medium to get the complete solutions of the basic physical fields. Some comparisons are shown graphically and they are discussed as a function of thermal memories with the variation of some parameters. Silicon (Si) material is used to make the numerical simulation and to display the sensitivity to the variation of the rotation parameter. [ABSTRACT FROM AUTHOR]

Purpose: The purpose of this paper is to establish a model of two-dimensional half-space problem of linear, isotropic, homogeneous, initially stressed, rotating thermoelastic medium with microtemperatures. The expressions for different physical variables such as displacement distribution, stress distribution, temperature field and microtemperatures are obtained in the physical domain. Design/methodology/approach: Normal mode analysis technique is adopted to procure the exact solution of the problem. Findings: Numerical computations have been carried out with the help of MATLAB programming, and the results are illustrated graphically. Comparisons are made to show the effects of rotation, time and microtemperatures on the resulting quantities. The graphical results indicate that the effects of rotation, microtemperatures and time are very pronounced on the field variables. Originality/value: In the present work, we have investigated the effects of rotation, time and microtemperature in an initially stressed thermoelastic medium. Although various investigations do exist to observe the disturbances in a thermoelastic medium under the effects of different parameters, the work in its present form, i.e. the disturbances in a thermoelastic medium in the presence of angular velocity, initial stress and microtemperature have not been studied till now. The present work is useful and valuable for analysis of problems involving coupled thermal shock, rotation parameter, microtemperatures and elastic deformation. [ABSTRACT FROM AUTHOR]

The prime objective of the present article is to analyze the effects of rotation and initial stress on the propagation of Rayleigh surface waves in a homogeneous, orthotropic magneto-thermoelastic half space subjected to gravity field. The frequency equations in closed form are derived and the amplitude ratios of surface displacements, temperature change during the Rayleigh wave propagation on the surface of half space have been computed analytically. The highlights of this study are the effects of different parameters (rotation, magnetic field, initial stress, and gravity) on the velocity of Rayleigh waves. Variation in phase velocity of Rayleigh waves against a wave number is shown graphically. Some particular cases have been deduced. Also, the classical Rayleigh wave equation is obtained as a special case of the present study. Numerical example has been carried out and represented by the means of graphs. Impacts of various involved parameters appearing in the solutions are carefully analyzed. In fact, in the absence of various parameters, these equations are in agreement with the results for isotropic medium. [ABSTRACT FROM AUTHOR]

Present analysis is concerned with the propagation of plane waves in an initially stressed magneto-thermoelastic half-space with microtemperatures and voids. It is noticed that there exist four kinds of coupled dilatational waves in addition to shear and microtemperature waves in such type of medium. Using appropriate boundary conditions, the amplitude and energy ratios for the reflected waves have been presented in closed form when (i) a set of coupled dilatational waves is made incident and (ii) a shear wave is made incident. Amplitude ratios of various reflected waves are presented graphically to explore the effects of magnetic field, initial stress and void parameter. It is verified that there is no loss of energy at the free surface during reflection phenomena. [ABSTRACT FROM AUTHOR]

In this paper, the propagation of harmonic plane waves is considered in a generalized thermoelastic medium with diffusion and voids in the presence of initial stress, magnetic field, rotation, and gravity in the context of thermoelastic models; classical, Lord Shulman, Green Lindsay as well as dual‐phase‐lag models. We applied the boundary conditions in the physical domain using the normal mode method technique on the surface to obtain the displacements, stresses, temperature, diffusion concentration, and the volume fraction field. Influence of initial stress, magnetic field, rotation, and gravity on temperature, stresses, concentration of diffusion, and the volume fraction is observed through a numerical example. The results obtained will be compared in the presence and absence of the new considered variables, also with the previous results obtained by the others and displayed graphically. [ABSTRACT FROM AUTHOR]

The purpose of present investigation is to study the reflection and transmission phenomena at the plane interface between an orthotropic thermoelastic half-space and an initially stressed orthotropic thermoelastic rotating half-space with diffusion. The enuciation is applied to generalized thermoelasticity based on Lord-Shulman theory. The amplitude and energy ratios of the reflected and transmitted waves are derived and the numerical computations have been carried out with the help of MATLAB programing. The effects of initial stress, rotation and diffusion parameters on the amplitude ratios are depicted graphically. It has been verified that at each angle of incidence, there is no dissipation of energy at the interface during reflection and transmission phenomena. Moreover, the effect of anisotropy is also depicted on the velocities of various reflected and transmitted waves. The velocities of these waves are found to depend on the angle of propagation in an orthotropic medium. This dependence of velocities on the direction of propagation is shown graphically. [ABSTRACT FROM AUTHOR]

This paper discusses a photo-thermal rotational semiconductor medium with initial stress, and voids by considering two thermoelastic theories: Lord-Shulman and Dual-Phase-Lag models. The equations of motion, temperature, voids, and photothermal have been investigated under two generalized thermoelastic theory. The technique of normal mode has been applied to solve the differential equations system with appropriate boundary conditions. Quantities of physical interest such as displacement, stress components, concentration, temperature, and carrier density are calculated and displayed graphically to demonstrate the effect of the external parameters. The obtained results, by using the two theories, show that the dual-phase-lag theory gives an origin results comparing with obtained results by Lord-Shulman theory. By neglecting the initial stress and voids, and considering the only dual-phase-lag theory, then the results obtained in this paper are deduced to the results of Abbas et al. [1]. [ABSTRACT FROM AUTHOR]

In this investigation, the effect of magnetic field, initial stress and volumetric heat source of semiconductor elastic medium is studied. The thermal memory (relaxation times) is taken into account in the case of studying the coupling between the photothermal excitation process and the generalized thermoelasticity theory. The problem is described in cylindrical coordinates by one-dimensional equations under the effect of pulse heat flux. The interaction between plasma (carrier density), thermal field (temperature) and elastic waves is investigated. Laplace transform technique is used to get analytical solutions of some of the main physical quantities. The gradient temperature and some mechanical forces are applied on the cylinder, and Fourier series expansion is used as a numerical method to obtain the complete solutions of the physical variables in the time-domain. The silicon material is an example of semiconductor which is used for numerical simulation work. The results of the obtained physical variables are and illustrated graphically and discussed. [ABSTRACT FROM AUTHOR]

The propagation of thermoelastic waves in a homogeneous, isotropic elastic semi-infinite space is subjected to rotation and initial stress, which is at temperature T0 - initially, and whose boundary surface is subjected to heat source and load moving with finite velocity. Temperature and stress distribution occurring due to heating or cooling and have been determined using certain boundary conditions. Numerical results have been given and illustrated graphically in each case considered. Comparison is made with the results predicted by the theory of thermoelasticity in the absence of rotation and initial stress. The results indicate that the effect of the rotation and initial stress is very pronounced [ABSTRACT FROM AUTHOR]

In this article, the problem of reflection and refraction of thermoelastic wave at a solid–liquid interface in the presence of magnetic field and initial stress has been investigated. The problem has been solved in the context of three-phase-lag model of thermoelasticity. The appropriate expressions to find the amplitude ratios for all the three cases of p-wave incidence, SV-wave incidence, and thermal wave incidence have been developed. However, the ratios of amplitudes of reflected and refracted waves to that of incident wave are computed numerically for earth's crust-water interface, for incident SV wave only, considering the initial stress to be tensile as well as compressional both. The obtained results have been presented graphically to show the effect of phase lags, magnetic field, and initial stress. [ABSTRACT FROM AUTHOR]

The effects of rotation and gravity on an electro-magneto-thermoelastic medium with diffusion and voids in a generalized thermoplastic half-space are studied by using the Lord-Shulman (L-S) model and the dual-phase-lag (DPL) model. The analytical solutions for the displacements, stresses, temperature, diffusion concentration, and volume fraction field with different values of the magnetic field, the rotation, the gravity, and the initial stress are obtained and portrayed graphically. The results indicate that the effects of gravity, rotation, voids, diffusion, initial stress, and electromagnetic field are very pronounced on the physical properties of the material. [ABSTRACT FROM AUTHOR]

We investigate the problem of reflection and refraction of thermoelastic waves at a magnetized solid-liquid interface in presence of initial stress. In the context of Green-Lindsay and coupled thermoelastic theories of thermoelasticity, the problem has been solved and the effect of magnetic field, external heat sources, and initial stress on p-, T-, and SV-waves propagation have been discussed. The boundary conditions at the interface for displacement continuity, vanishing the tangential displacement, continuity of normal force, tangential force, and continuity of temperature are applied. The amplitudes ratios for the incident p-, T-, and SV-waves have been obtained. The effect of the initial stress, heat sources, and magnetic field on the reflection and transmitted coefficients for the incident waves have been discussed. [ABSTRACT FROM AUTHOR]

The main aim of this paper is to study two temperature thermoelasticity in a generalization form to solve the half-space problem of two dimensions under gravity, perturbed magnetic field, and initial stress. The fundamental equations are solved considering a new mathematical technique under Lord-Şhulman (LS), Green-Naghdi (GN type III) and three-phase-lag (3PHL) theories to investigate displacement, stress components, and temperature distribution. The results obtained by the three theories, i.e., (LS), (GN type III), and (3PHL), considering the absence and the presence of gravity, initial stress, and magnetic field have been compared. The results were numerically calculated and graphically displayed to exhibit the physical meaning of the phenomenon and the external parameters’ effect. A comparison has been presented between the results obtained in the absence and the presence of the external considered parameters and with the previously obtained results by other researchers.

The present article deals with Rayleigh surface wave propagation in homogeneous magneto-thermoelastic orthotropic medium. Effect of initial stress and magnetic field on Rayleigh waves is studied in the context of three-phase-lag model of generalized thermoelasticity. The normal mode analysis is used to obtain the exact expressions for the displacement components, stresses and temperature distribution. Various frequency equations are derived and compared with the existing literature. The path of surface particles is elliptical during Rayleigh wave propagation. Effect of phase-lags on Rayleigh wave velocity, attenuation coefficient and specific loss are presented graphically. It is observed from graphical presentation that the effect of magnetic field and initial stress on different wave characteristics is pronounced. [ABSTRACT FROM AUTHOR]

The present paper is devoted to investigate the influence of the rotation, thermal field, initial stress, gravity field, electromagnetic and voids on the reflection of P wave under three models of generalized thermoelasticity: Classical and Dynamical coupled model (CD), Lord-Shulman model (LS), Green-Lindsay model (GL), The boundary conditions at stress-free thermally insulated surface are satisfied to obtain Algebraic system of four equations in the reflection coefficients of various reflected waves. It is shown that there exist four plane waves; P¹, P², P³ and P4. In addition, the reflection coefficients from insulated and isothermal stress-free surface for the incident P wave are obtained. Finally, numerical values of the complex modulus of the reflection coefficients are visualized graphically to display the effects of the rotation, initial stress, gravity field magnetic field, thermal relaxation times and voids parameters. [ABSTRACT FROM AUTHOR]

In this paper, we study the effects of magnetic field and initial stress on plane waves propagation. We have investigated the problem of reflection and refraction of thermoelastic waves at a magnetized solid-liquid interface in the presence of initial stress, in the context of CT (Classical theory) of thermoelasticity, the problem has been solved. The boundary conditions applied at the interface are: (i) continuity of the displacement, (ii) vanishing of the tangential displacement, (iii) continuity of normal force per unit initial area, (iv) vanishing of the tangential stress and (v) continuity of temperature. The amplitudes ratios for the incident p-, T-, and SV- waves have been obtained. The reflection and transmission coefficients for the incident waves are computed numerically, considering the initial stress and magnetic field effects and the results are represented graphically. [ABSTRACT FROM AUTHOR]

The present paper is aimed at studying the effect of initial stress and the magnetic field on thermoelastic interactions in an isotropic, thermally and electrically conducting half-space whose surface is subjected to mechanical and thermal loads. The formulation is applied under the thermoelasticity theory with three-phase-lag, proposed by Choudhuri (2007). The normal mode analysis is used to obtain the expressions for the variables considered. Numerical and computations are performed for a specific material and the results obtained are represented graphically. Comparisons are made with the results predicted by different theories Lord–Shulman theory (L–S), the theory of thermoelasticity type III (G-N III) and the three-phase-lag model (3PHL) in the absence and presence of the initial stress and magnetic field. [ABSTRACT FROM PUBLISHER]

In the present article, a model of the equations of generalized electromicrostretch thermoelasticity in an initially stressed perfectly conducting elastic medium under the effect of temperature-dependent properties is studied. The entire elastic medium is rotating with a uniform angular velocity. Reflection phenomena of plane waves in electromicrostretch thermoelasticity is investigated under two theories proposed by Lord and Shulman (L–S) and Green and Lindsay (G–L). Amplitude ratios and energy ratios of various reflected waves are presented when an elastic wave is made incident obliquely at the plane boundary of an electromicrostretch thermoelastic solid half-space. It has been verified that there is no dissipation of energy at the boundary surface during reflection. Numerical examples calculate the amplitude ratios to evince the effects of initial stress parameter, rotation, and temperature-dependent properties, and the results obtained are depicted graphically. [ABSTRACT FROM PUBLISHER]

A mathematical model of fractional order two-temperature generalized thermoelasticity with diffusion and initial stress is proposed to analyze the transient wave phenomenon in an infinite thermoelastic half-space. The governing equations are derived in cylindrical coordinates for a two dimensional axi-symmetric problem. The analytical solution is procured by employing the Laplace and Hankel transforms for time and space variables respectively. The solutions are investigated in detail for a time dependent heat source. By using numerical inversion method of integral transforms, we obtain the solutions for displacement, stress, temperature and diffusion fields in physical domain. Computations are carried out for copper material and displayed graphically. The effect of fractional order parameter, two-temperature parameter, diffusion, initial stress and time on the different thermoelastic and diffusion fields is analyzed on the basis of analytical and numerical results. Some special cases have also been deduced from the present investigation. [ABSTRACT FROM AUTHOR]

In this paper we investigated the propagation of SV-waves under effect of the magnetic field, initial stress and two thermal relaxation times. The problem of reflection and transmission of thermoelastic waves at a solid-liquid interface in presence of initial stress and magnetic field has been investigated subjected to certain boundary conditions. The appropriate expressions to find the amplitudes ratios for the incident wave (SV-waves) have been obtained. The reflection and transmitted coefficients for the incident SV-waves are computed numerically, considering the initial stress, relaxation times, and magnetic field effect and presented graphically. The results indicate that the effects of magnetic field, initial stress and two thermal relaxation times are very pronounced. [ABSTRACT FROM AUTHOR]

In this article, we studied the propagation of SV-waves under the effect of electromagnetic field and initial stress for three models in thermoelasticity: The couple and Green–Lindsay theories as well as the dual-phase-lag theory. The problem of reflection and transmission of thermoelastic waves at a solid–liquid interface in the presence of electromagnetic fields and initial stress we investigated subjected to certain boundary conditions. The appropriate expressions to find the amplitude ratios of the incident waves (SV-waves) were obtained. The reflection and transmission coefficients for the incident SV-waves were computed numerically. The effect of electric field, magnetic field, and initial stress were illustrated graphically. Comparisons were made with the obtained results in the presence and absence of considered variables and displayed graphically. The results indicate that the effect of electric field, magnetic field, and initial stress on SV-waves incidence at the interface between solid–liquid media are very pronounced. [ABSTRACT FROM AUTHOR]