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This book presents an experimental investigation of spin-mechanical phenomena in spin-lattice coupled systems. The author demonstrates that the resonant mechanical vibration of a micro magnetic mechanical oscillator changes in response to the magnetization process in the oscillator. The author also investigates a spin-current-induced volume modulation effect in a giant magnetostrictive material. The results presented here accelerate the exploration of cross-correlation effects between spintronics and micromechanics and provide insight into magnetomechanical properties associated with a spin current.

This book methodically details the formulations and approaches to solve boundary value problems, which are essential for determining the stress–strain states in three-layer rods and plates subjected to both single and quasi-static variable loads in thermal radiation and force fields. It duly considers the complex influences on the physically nonlinear properties of the materials in each layer. The book offers several innovative analytical solutions and a numerical parametric analysis of the stress–strain scenarios in these structures. It describes the deformation of physically nonlinear media in thermoradiational fields within the small elastic-plastic deformations theory framework. The work explores variational problem-solving methods and the elastic solution method. It presents a formula for calculating the temperature within a three-layer assembly, derived by averaging the thermophysical properties of the materials across the layers'thickness. Additionally, the book includes an analysis of the attenuation of neutron flux as it passes through a three-layer element.

This book describes a second-generation force-based method emerging from a general formulation where the partial differential equations of elasticity are replaced by equivalent algebraic equations. These algebraic equations of linear elasticity can be used to solve statically indeterminate problems in reduced forms that define either the new second-generation force-based approach or a new displacement-based approach. The new force-based method can serve as the basis for teaching students at many technical levels how to solve equilibrium problems directly for the forces present. In elasticity courses, the derivation and use of the algebraic equations of linear elasticity can show how the difficulties of dealing with partial differential equations may be avoided by transforming those equations into algebraic equations with work-energy concepts. In a finite element course, a force-based finite element method can be described along with the traditional displacement-based approach to demonstrate how the two methods provide alternative ways for solving complex structural problems. Serving as a resource for including second-generation force-based methods in solid mechanics courses of an engineering curriculum, and as a robust learning resource, the book is ideal for instructors and for students, practicing engineers, and researchers.

Tandem Hot Metal Rolling Mill Control is a response to the significant control engineering challenges posed by the nature and circumstances of the hot metal strip rolling process. The process is large, complex, multivariable and nonlinear with significant disturbances and subject to multiple situationally dependent time delays all of which are exacerbated by the demands of an ever-more-competitive marketing environment for its product. The book provides innovative solutions not available with previously existing methods of control. It introduces new advanced control methods, including a nonlinear control method based on an advanced state-dependent Riccati equation technique coupled with virtual rolling to improve performance during various regimes of mill operation. The book begins with a brief history of metal rolling and an overview of the tandem hot metal rolling process. It then discusses process models, including physical-system and state-space equations, and control methods currently being used in tandem rolling. The exposition of the new advanced control method uses figures and simulations to facilitate thorough understanding of the methods and their applicability in the real world. The final chapter concludes with a brief discussion of variable-speed drives as typically used in modern installations. Although sufficient mathematical treatment is provided to support the development of novel concepts, the presentation is not highly mathematical, making the text readily understandable and useful to a variety of readers in both academic and practical engineering milieux.

This book presents select proceedings of the Indian Conference on Applied Mechanics (INCAM 2022). It includes the latest research on solid mechanics, impact mechanics, fluid mechanics, biomechanics, materials science and design engineering. Additional topics covered in this book are additive and advanced manufacturing, mechanics of energetic materials, mechanics in agriculture, flight and drone mechanics, mathematical methods in mechanics and precision metrology. The book is useful for researchers and academics from a broad range of engineering disciplines, such as civil engineering, mechanical engineering, aerospace engineering, automotive engineering, biomedical engineering and material science.

This book presents select proceedings of the 67th Congress of the Indian Society of Theoretical and Applied Mechanics (ISTAM-2022). The content includes chapters on topics such as fluid mechanics, aerospace dynamics, atmospheric sciences and oceanography, geophysical environmental fluid dynamics, biomechanics, computational fluid dynamics, experimental methods in fluid dynamics, mathematical modelling, statistical mechanics, computational solid mechanics, experimental method in solid mechanics, mechanics of composites, and robotics and control. The book will be a valuable reference for researchers and professionals interested in applied and computational mechanics and allied fields.

​Es gibt eine Vielzahl von „Wie-erstelle-ich-ein Finite-Element-Programm?“-Lehrbüchern, aber nur recht wenige Veröffentlichungen zur Frage „Wie wende ich ein Finite-Element-Programm an?“. Dieses Buch legt den Schwerpunkt auf die zweite Fragestellung. Es basiert auf den Vorlesungen zur Anwendung der Finite-Element-Methode, die der Autor seit 1998 an der OTH Regensburg hält. Deren Inhalte kommen aus seiner Tätigkeit als Prüfingenieur für Baustatik in einem großen Münchener Ingenieurbüro. Behandelt werden sowohl Fragestellungen, mit denen sich jeder Ingenieur konfrontiert sieht, wenn er Berechnungen mit einem Finite-Element-Programm erstellen will, als auch Problempunkte, die im Büro des Autors im Zuge einer Projektbearbeitung auftraten und auf den ersten Blick gar nicht so klar waren. Der 2.Teil des zweibändigen Werkes befasst sich mit Themen aus der nichtlinearen Statik.

The postgraduate seminar series on advanced structured materials is designed to facilitate teaching and informal discussion in a supportive and friendly environment. The seminar provides a forum for postgraduate students to present their research results and train their presentation and discussion skills. Furthermore, it allows for extensive discussion of current research being conducted in the wider area of advanced structured materials. Doing so, it builds a wider postgraduate community and offers networking opportunities for early career researchers. In addition to focused lectures, the seminar provides specialized teaching/overview lectures from experienced senior academics. The 2023 Postgraduate Seminar entitled “Advanced Structured Materials: Development - Manufacturing - Characterization – Applications” was held from 20th till 24th February 2023 in Barcelona. The presented postgraduate lectures had a strong focus on polymer mechanics, composite materials, and additive manufacturing.

This book presents peer reviewed articles from The 26th Australasian Conference on the Mechanics of Structures and Materials (ACMSM26) held in December 2023 at the University of Auckland in New Zealand. Bringing together international experts and leaders to disseminate recent research findings in the fields of structural mechanics, civil engineering and materials, it offers a forum for participants from around the world to review, discuss, and present the latest developments in the broad discipline of mechanics and materials in civil engineering.

This book presents the Proceedings of the 15th International Conference on Vibration Problems (ICoVP 2023) and covers vibration problems of engineering both in theoretical and applied fields. Various topics covered in this volume are Vibration in Oil and Gas, Structural Dynamics, Structural Health Monitoring, Rotor Dynamics, Measurement Diagnostics in Vibration, Computational methods in Vibration and Wave Mechanics, Dynamics of Coupled Systems, Dynamics of Micro and Macro Systems, Multi-body dynamics, Nonlinear dynamicsReliability of dynamic systems, Vibrations due to solid/liquid phase interaction, Vibrations of transport systems, Seismic Isolation, Soil dynamics, Geotechnical earthquake engineering Dynamics of concrete structures, Underwater shock waves (Tsunami), Vibration control, uncertainty quantification and reliability analysis of dynamic structures, Vibration problems associated with nuclear power reactors, Earthquake engineering, impact and wind loading and vibration in composite structures and fracture mechanics. This book will be useful for both professionals and researchers working on vibrations problems in multidisciplinary areas.

The book is devoted to the retirement of Prof. Wilfried Becker—a liber amicorum for a well-known specialist in the field of structural mechanics. Many excellent scientists from institutions around the world wrote their scientific chapters, stressing the Becker's influence to structural mechanics. Thus, this collection discusses a lot of important problems and applications of mechanics.

This book presents detailed insights into the characterization of bionanocomposite materials based on rubber. Examining various classes of material bases, such as cellulose, chitin, starch, soy proteins, polylactic acid (PLA), bacterial cellulose and casein, it offers a valuable reference resource for graduate and postgraduate engineering students, researchers and polymer engineers working in industry.

Das Buch beinhaltet eine strukturierte Sammlung der vollständigen Lösungen aller wesentlichen ebenen Kontaktprobleme. Es werden klassische Profile – wie der Zylinder, der Keil oder der quaderförmige flache Stempel – unter zentrischer und exzentrischer Belastung behandelt, aber auch eine Vielzahl weiterer technisch relevanter Formen, wie der flache Stempel mit abgerundeten Kanten, der Keil mit abgerundeter Spitze oder wellige Oberflächen. In Bezug auf die Lastkonfiguration werden adhäsive und adhäsionsfreie Normalkontakte, Tangentialkontakte und Rollkontakte berücksichtigt. Als Materialien kommen elastisch isotrope, transversal isotrope, viskoelastische und funktionale Gradientenmedien zur Sprache. Die angegebenen Lösungen werden jeweils auf dem einfachsten zur Verfügung stehenden Weg hergeleitet und umfassen neben den makroskopischen Zusammenhängen zwischen der Last und der Kontaktkonfiguration die Spannungsfelder in der Oberfläche und gegebenenfalls innerhalb der Kontaktkörper.

This book provides a comprehensive exploration of the fundamentals, experimental techniques, and simulation methodologies related to advanced engineering materials. It addresses the challenges posed by these materials, introduces the concept of stress invariants, and demonstrates their implementation in finite element programs for accurate simulations. The book serves as a valuable resource for researchers, engineers, and students interested in the cutting-edge developments in materials science and engineering.

This volume gathers the latest advances, innovations, and applications in the field of wind engineering, as presented by leading international researchers and engineers at the XVII Conference of the Italian Association for Wind Engineering (IN-VENTO), held in Milan, Italy on September 4–7, 2022. It covers highly diverse topics, including aeroelasticity, bluff-body aerodynamics, boundary layer wind tunnel testing, computational wind engineering, structural dynamics and reliability, wind-structure interaction, flow-induced vibrations, wind modeling and forecast, wind disaster mitigation, and wind climate assessment. The contributions, which were selected by means of a rigorous international peer-review process, highlight numerous exciting ideas that will spur novel research directions and foster multidisciplinary collaboration among different specialists.

This book presents an enriched exploration of structural fatigue assessment. Now in its updated form, this comprehensive edition delves into foundational principles while introducing extensive revisions and fresh content. Notable enhancements include a refined discussion on stress determination, an expanded section on fatigue resistance, also for welded thin sheets, and a thorough update of crucial chapters such as fatigue assessment using S-N curves at constant and variable amplitudes as well as practical application of fracture mechanics on fatigue of welded joints. The addition of new chapters on high-frequency mechanical impact (HFMI) treatment, insightful statistical considerations based on IIW recommendations, and practical application examples further distinguish this edition. With updated references and meticulous attention to detail, this new edition emerges as an indispensable resource, offering professionals and enthusiasts a deeper understanding of fatigue assessment in structural engineering. Prepared as the result of an initiative by Commissions XIII and XV of the International Institute of Welding (IIW), this book represents a significant contribution to the field.

This book presents new topics such as Inerters in spring-mass models and attached to beams; fluid loading on beams, plates, and shells; bio-inspired vibration isolation and absorption; coupled bending and torsion of beams; beams with functionally graded materials; as well as a new chapter on the Mindlin/Timoshenko plate theory: rectangular and circular. New applications and enhancements to the previous edition include moving mass on beams; thin beams with attached pendulum; transient response of beams with in-span attachments; and shells to model blood flow in arteries.

This book presents various solutions modeling in the performance and behavior of advanced materials and engineering structures. In this book, famous scientists in the field of materials mechanics share their knowledge in honor of the late Professor of Mechanics Klaus-Peter Herrmann from the University of Paderborn. This book discusses in particular topics like fracture and damage mechanics, numerical mathematics and computational simulations, and mechanics and thermodynamics of advanced materials.

The idea of organizing the Polish Congress of Mechanics was born in 2005 among members of the Polish Society of Theoretical and Applied Mechanics. The first Congress has been organized in 2007. In 2013, the organization of the Polish Congress of Mechanics was included in the statutory tasks of the Polish Society of Theoretical and Applied Mechanics. Referring to the splendid tradition of Polish Theoretical and Applied Mechanics, the Congress has become one of the most important international scientific conventions representing this domain of science and gathering every 4 years about 500–600 specialists, who deal with the issues of mechanics and mechanical engineering in a broad sense. The organization of the Congress allows for the connection of many scientific communities, researchers, and engineers from various universities, faculties, research centers, and institutions. Such scientific meeting is an excellent place for presentation, discussion, and dissemination of new achievements and ideas relating to the theoretical foundations as well as practical applications of mechanics. The Congress presents the current state-of-the-art research in all disciplines of classical and quantum mechanics, solid and fluid mechanics, computational mechanics, applied mechanics, and physics, as well as structural mechanics and engineering.

This book extensively covers rock mechanics and engineering, playing a vital role in mining, geological, and civil applications. It explores the stability, failure, and behavior of rock masses, offering control and prediction methods. Fundamental concepts, stress and strain analyses, failure theories, and rock characteristics are addressed, essential for safety in mining and construction. Applications like geological hazard assessment, slope stability, and foundation design demonstrate its significance in civil and geological engineering. The book's structured approach includes an overview in Chapter 1, stress analyses in Chapter 2, and plane strain analyses in Chapter 3. Subsequent chapters delve into rock behavior, failure theories, and specific properties. Practical aspects, such as designing underground openings, are covered in later chapters. The incorporation of numerous solved tutorials enhances its value for students and educators seeking a comprehensive understanding of these pivotal topics.

This book focuses on discrete element methods for arbitrarily shaped granular materials, including super-quadric models, spherical harmonic functions and level set methods, and numerical analysis of the flow characteristics of non-spherical granular materials. This book is used as a reference book for scientific researchers engaged in dynamic analysis of granular materials and optimal design of equipment structures in the fields of engineering mechanics, applied physics, mechanical engineering, and chemical engineering, as well as for graduate students or senior undergraduates of related majors in institutions of higher education.

​This book is a collection of the technical papers presented in the 24th International Shock Interaction Symposium. The main topics include•Shock wave diffraction•Shock wave reflections and refraction on interfaces•Shock wave-boundary layer interaction•Shock wave-shear layer interaction•Shock wave-vortex interaction•Shock wave-bubble interaction•Shock wave-contact surface interaction•Shock wave diffraction over bodies or obstacles•Shock waves in rarefied flows•Shock waves in MHD flows•Dynamics of the explosion, blast waves, and detonations•Shock wave propagation in condensed and heterogeneous materials•Shock waves in high-enthalpy facilities•High-speed flow diagnostics

This book offers selected papers presented at the 3rd International Conference on Industrial Applications of Adhesives, held in Cascais, Portugal, March 7-8, 2024. The goal of the conference was to provide a unique opportunity to exchange information, present the latest results as well as to discuss issues relevant to industrial applications of adhesives. Special contributions on formulation of adhesives, pressure sensitive adhesives, adhesive properties, design of adhesive joints, and durability of adhesive joints have been selected for this volume. This work will appeal to a wide readership, from practitioners through graduate students to researchers working in this field.

This textbook presents a compilation of class-tested materials and the results of research on a range of topics in into one comprehensive volume for readers engaged in the materials science and engineering aspects of phase transformation in metals. Accordingly, this is a suitable textbook for undergraduate and graduate students in the fields of mechanical engineering, materials science, metallurgical engineering, and related disciplines. The book incorporates two-dimensional materials, crystal defects, mass transport, thermodynamics of phase, solidification heat transfer, solidification and phase diagrams related to nucleation particle phases and explains solid-state phase transformation, mechanical behaviour and fracture toughness, non-destructive methods, physical and optical properties of solids, and electrochemical corrosion. It also stands as an excellent reference treatise for practicing and consulting engineers. Moreover, the book is appropriate for graduate-level coursework, covering advanced subjects including quantum mechanics, two dimensional materials, fracture mechanics, non-destructive methods for evaluating structural integrity, and advanced analytical techniques in some appendices.

This book examines new approaches for the estimation of errors in approximate theories. Numerical and analytical methods in mechanics often require the establishment of a set of basic equations, and various approaches exist to create approximate theories from them. The problem is that nobody knows the boundaries of the estimation of errors in approximate theories. This book presents new approaches to overcome this problem and to provide the reader with suitable methods for the relevant field, including a representation of different scientific schools and different countries. These new methods are helping to solve many problems not only in analytical Mechanics but also in Physics, Mathematics, and Civil Engineering.

Es gibt eine Vielzahl von „Wie-erstelle-ich-ein Finite-Element-Programm?“-Lehrbüchern, aber nur recht wenige Veröffentlichungen zur Frage „Wie wende ich ein Finite-Element-Programm an?“. Dieses Buch legt den Schwerpunkt auf die zweite Fragestellung. Es basiert auf den Vorlesungen zur Anwendung der Finite-Element-Methode, die der Autor seit 1998 an der OTH Regensburg hält. Deren Inhalte kommen aus seiner Tätigkeit als Prüfingenieur für Baustatik in einem großen Münchener Ingenieurbüro. Behandelt werden sowohl Fragestellungen, mit denen sich jeder Ingenieur konfrontiert sieht, wenn er Berechnungen mit einem Finite-Element-Programm erstellen will, als auch Problempunkte, die im Büro des Autors im Zuge einer Projektbearbeitung auftraten und auf den ersten Blick gar nicht so klar waren. In Teil 1 des zweibändigen Werks werden Themen aus der linearen Statik behandelt.

Um bei der Fertigung von Faserverbundkunststoffen Zeit, Energie und Kosten sparen zu können, werden möglichst viele Informationen über die Vorgänge während des Fertigungsprozesses benötigt. Die Integration von Foliensensoren in die hergestellten Bauteile ist eine von mehreren Möglichkeiten, diese Informationen zu erhalten. Foliensensoren bestehen aus einer thermoplastischen Folie, auf der metallische Elektroden strukturiert sind. Ihre Integration in das Bauteil bringt unterschiedliche Vor- und Nachteile mit sich. Einerseits sind bauteilintegrierte Sensoren flexibler einsetzbar als werkzeugintegrierte Sensoren und ermöglichen eine feinere räumliche Auflösung der Aushärtevorgänge. Andererseits werden sie bei der Fertigung zum Produktbestandteil. Sie sollten deswegen einfach und kostengünstig sein, sowie die Lasttragfähigkeit nicht beeinträchtigen. Aus mechanischer Sicht bringen Foliensensoren vor allem ein Delaminationsrisiko mit sich. Die Wahl des thermoplastischen Substratmaterials macht dabei den entscheidenden Einflussfaktor aus. Während Sensoren auf Basis des häufig verwendeten Materials Polyimid ein erhebliches Delaminationsrisiko mit sich bringen, ist der Einfluss von Polyetherimid weit weniger schädlich oder verbessert sogar einzelne Festigkeitskennwerte. Neben dem Substratmaterial wirken sich auch die metallischen Sensorstrukturen auf die Belastbarkeit aus. Zur Gestaltung minimalinvasiver Sensoren sollte ein möglichst geringer Metallisierungsgrad angestrebt werden. Das verbreitetste Design für Foliensensoren zur Aushärteüberwachung sind sogenannte Interdigitalelektroden, die eine elektrische Kapazität bilden, deren Impedanz von der direkten Umgebung beeinflusst wird. In variothermen Fertigungsprozessen besteht eine Herausforderung darin, den Einfluss der Temperatur von dem des Aushärtegrades zu trennen. Die an integrierten Sensoren gemessenen Impedanzinformationen müssen dazu eine Verarbeitung durchlaufen, in deren Verlauf die Frequenzabhängigkeit und die Einflüsse von Temperatur und Sensorgeometrie aus den Daten entfernt werden. Für eine variotherme Aushärteüberwachung ist daher die Verwendung eines zusätzlichen Temperatursensors unverzichtbar. Die Sensordaten bieten darüber hinaus Potential für die Ermittlung des Faservolumengehalts oder zur Detektion von Harzfehlanmischungen.

This book delves into the fundamentals of aeroelasticity, providing a modern foundation for education and research in aeronautical engineering. It begins with a brief introduction to aeroelasticity and then explores the static stability of airfoils and wings, using elementary models to solve fluid-structure interaction problems under equilibrium conditions. The dynamics of the typical aeroelastic section are examined, including modal analysis and dynamic characterization. Analytical and numerical aerodynamic models are discussed for unsteady aerodynamics, offering tools for studying stability phenomena and calculating aeroelastic responses. The text covers aeroelastic response and stability analysis, demonstrating coupled aerodynamic models'behavior under varying parameters and predicting flutter phenomena. The dynamic aeroelasticity of wings is analyzed, presenting a time-domain simulation model to show flutter conditions and aeroelastic modes. Appendices provide insights on finite element modeling of beams, self-excited systems, and surface interpolation methods, with numerous examples for result replication, though no specific computational tools are suggested.

This book provides essential insights into recent developments in fundamental geotechnical engineering research. Special emphasis is given to a new family of constitutive soil description methods, which take into account the recent loading history and the dilatancy effects. Particular attention is also paid to the numerical implementation of multi-phase material under dynamic loads, and to geotechnical installation processes. In turn, the book addresses implementation problems concerning large deformations in soils during piling operations or densification processes, and discusses the limitations of the respective methods. Numerical simulations of dynamic consolidation processes are presented in slope stability analysis under seismic excitation. Lastly, achieving the energy transition from conventional to renewable sources will call for geotechnical expertise. Consequently, the book explores and analyzes a selection of interesting problems involving the stability and serviceability of supporting structures, and provides new solutions approaches for practitioners and scientists in geotechnical engineering. The content reflects the outcomes of the Colloquium on Geotechnical Engineering 2024 (Geotechnik Kolloquium), held in Bochum, Germany in March 2024.

This book treats the micromechanics of laminae, i.e., the prediction of the macroscopic mechanical lamina properties based on the mechanical properties of the constituents, i.e., fibers and matrix. The focus is on unidirectional lamina which can be described based on orthotropic constitutive equations. In detail, predictions for the modulus of elasticity in and transverse to the fiber direction, the major Poisson's ratio, as wells as the in-plane shear modulus are provided. The mechanics of materials approach, the elasticity solutions with contiguity after Tsai, and the Halpin-Tsai relationships, are presented in detail. Composite materials, especially fiber-reinforced composites, are gaining increasing importance since they can overcome the limits of many structures based on classical engineering materials. Particularly the combination of a matrix with fibers provides far better properties than the single constituents alone. A typical basic layer, the so-called lamina, can be composed of unidirectional fibers which are embedded in a matrix. In a second step, layers of laminae may be stacked under different fiber angles to a so-called laminate, which reveals—depending on the stacking sequence—different types of anisotropy/isotropy. A Python-based computational tool is provided, the so-called Micromechanics Analysis Tool (MMAT v1.0) to easily predict the elastic properties. The tool runs in any standard web browser and offers a user-friendly interface with many graphical representations of the elastic properties as a function of the fiber volume fraction.

This book comprises the proceedings of the Conference and Exhibition on Non-Destructive Evaluation (NDE 2021) organised by the Indian Society for Non-destructive Testing (ISNT). This book covers topics from wide domains from conventional to advanced NDE, including conventional and advanced NDE methods, drone-based inspections, thermal wave imaging, NDT data fusion, material characterization, waveguide sensors, inspections of civil structures, medical applications such as bone density and cancer diagnosis, periodic maintenance, life estimation, as well as structural integrity and related areas. This book serves as a useful reference for students, researchers, and practitioners alike.

This book comprises the select peer-reviewed proceedings of the 8th Asian Conference on Mechanics of Functional Materials and Structures (ACMFMS 2022). It aims to provide a comprehensive and broad-spectrum picture of the state-of-the-art research and development in diverse areas, such as contact mechanics, biomechanics and biomaterials, fracture and damage mechanics, impact mechanics and dynamic materials, structural health monitoring, and mechanics of functional and smart structures, among others. This book is a valuable resource for researchers and professionals working in academia and industry in the areas of mechanical engineering.

This book highlights the mechanics of the elastic elements made of steel alloys with a focus on the metal springs for automotive industry. The industry and scientific organizations study intensively the foundations of design of spring elements and permanently improve the mechanical properties of spring materials. The development responsibilities of spring manufacturing company involve the optimal application of the existing material types. Thus, the task entails the target-oriented evaluation of the mechanical properties and the subsequent design of the springs, which makes full use of the attainable material characteristics. The themes about the new design of disk springs and the hereditary mechanics—namely creep and relaxation resistance—were extended. The fatigue life diagrams were reconsidered, and the relations between the traditional diagrams revealed. The book stands as a valuable reference for professionals in practice as well as an advanced learning resource for students of structural and automotive engineering. The former editions were known as'Durability of Springs”. Reflecting the substantial enlargement of the discussed themes, starting with this 3rd Edition the book entitled as'Fundamentals of Springs Mechanics”.

The book Multibody Systems guides the reader from the fundamentals of engineering mechanics to the formulations of the kinematic and dynamic equations of systems of rigid bodies suitable for computational generation. Multibody systems are used for the numerical simulation of complex mechanical systems in mechanical engineering, automotive engineering, aerospace engineering, and biomechanics. The presentation focuses on the implicit and explicit mathematical formulations of the bonds that geometrically constrain the motion of the partial bodies and define the directions of the reaction forces and reaction moments. This results in a consistent and common approach to the various known forms of the equations of motion of multibody systems. In addition to open multibody systems with a tree structure, closed multibody systems with kinematic loops are also treated in detail. In the third edition, planar multibody systems are presented in a separate chapter to facilitate the transition from mass point systems to spatial multibody systems.

Ceramic-matrix composites (CMCs) possess high specific strength and modulus at elevated temperature, and have already been applied in hot-section components in aero-engines. To ensure the operation reliability and safety of CMCs components, it is necessary to understand the micro damage mechanisms and internal damage state in the composites. This book focuses on the micromechanics of CMCs at elevated temperatures, including, the stress-strain behavior, proportional limit stress, residual strength, mechanical hysteresis, interface damage, strain response, and lifetime of CMCs at elevated temperatures. This book can help the material scientists and engineering designers to better understand and master the micromechanics of CMCs at elevated temperatures.

This book is a useful source of knowledge for engineers and scientists in the field of mechanics of deformation and destruction of composite materials. In Chapter 1 three-dimensional equations of elasticity theory composed for the case of finite displacements and deformations of solids have been analyzed. It is found that the generally accepted simplifications known in the literature and carried out for the case of small deformations result in equations that are considered to be absolutely correct and consistent in all scientific and educational literature on mechanics of deformable solid bodies. However, this conclusion is not sufficiently well-founded as confirmed by formulation and solution of problems on the basis of generally accepted equations for determining both the stress-strain state (SSS) and the critical loads and buckling modes. In Chapter 2 the theoretical and experimental methods for determining the mechanical characteristics of fiber-reinforced plastics (FRPs) based on tensile and compression tests of flat specimens with [0]s, [±90]s, and [±45]2s lay-ups are analyzed. For FRPs with [±45]2s lay-ups, relations are derived for determining the components of lamina strains and stresses in the orthotropy axes of FRP monolayer in terms of axial strains and Poisson ratios of specimens measured in experiments. In Chapter 3 the structure of a unidirectional fibre composite of two types ELUR-P carbon fibre based on KhT-118 cold-curing binder and HSE 180 REM prepreg based on hot-curing binder has been studied. The diameters of fibres and fibre bundles (filaments) of both types of composites have been measured. Based on the results of the analysis of the composite material structure, a refined formulation of the linearised problems of a refined statement of linearized problems on flat internal multiscale buckling modes of a rigid lamina with either fibers or a fiber bundle is presented taking into account their interaction with an epoxy matrix. In Chapter 4 for shells of a layered structure based on the Timoshenko's model, taking into account the transverse compression used for each layer, two versions of two-dimensional equations are constructed that describe geometrically nonlinear deformation with arbitrary displacements and small deformations. The formulation of a linear problem on the initial (subcritical) stress-strain state of a test specimen from a unidirectional fibrous composite with the [900]s structure during tension-compression tests with shear is given. A numerical method for solving the formulated problem is developed, which is based on the reduction of the original problem to a system of integro-algebraic equations and the search for their numerical solution by the finite sum method. In Chapter 5 conclusions were done and directions for further research have been identified.

Das gut eingeführte Werk Ebene Flächentragwerke erscheint nun in der 2. Auflage. Ausgehend von einer Klassifikation der Modelle ebener Flächentragwerke und den Grundgleichungen der linearen Elastizitätstheorie werden zunächst systematisch die Gleichungen für isotrope Scheiben und Platten abgeleitet. Dabei wird ein didaktisch einheitliches Konzept eingesetzt. Die Gleichungen werden in kartesischen Koordinaten, Polarkoordinaten und schiefwinkligen Koordinaten formuliert. In Ergänzung der ersten Auflage wird auch eine Plattentheorie in koordinatenfreier Schreibweise behandelt, so dass der Leser einen leichteren Zugang zu modernen Konzepten der Formulierung von Flächentragwerkstheorien erhält. Die Diskussion der Plattenmodelle nach Kirchhoff, Mindlin und von Kármán zeigt die Möglichkeiten und Grenzen dieser Strukturmodelle.Für schubstarre und schubelastische Platten mit kleinen Durchbiegungen wird auch anisotropes Materialverhalten einbezogen, und es werden die Strukturgleichungen der klassischen Laminattheorie und der Schubdeformationstheorie erster Ordnung angegeben. Es folgt ein kurzer Einblick in Theorien zur Analyse dreischichtiger Platten. Die Berücksichtigung vorgegebener Temperaturfelder erfolgt für alle Plattenmodelle im Rahmen der entkoppelten Thermoelastizität.Der Leser erhält einen umfassenden Überblick über die Anwendung bedeutsamer Strukturmodelle ebener Flächentragwerke. Die nach Aufgabenklassen geordneten zahlreichen Beispiele können als Referenzlösungen zur Testung numerischer Verfahren genutzt werden. Die Aufnahme der sogenannten Reduktionsverfahren von Wlassow und Kantorowitsch soll ihre Leistungsfähigkeit für die Ableitung einfacher und analytischer Näherungslösungen durch die Reduktion der Strukturgleichungen auf eindimensionale Formulierungen verdeutlichen.

This textbook covers the fundamentals and applications of mechanical vibrations and is useful for both undergraduate and postgraduate courses. It provides a concise and clear presentation of dynamics and vibrations including many examples to provide instant illustration and applications of the mathematical relations obtained. It contains self-explanatory sketches, graphs, and figures to curtail long text. Numerous illustrated examples, exercises, and problems at the end of each chapter serve as good sources to grasp the basic principles presented in the text. Review questions and sufficient problems have also been included at the end of each chapter with answer keys for self evaluation. This textbook can also be used as a reference book by researchers and professionals interested in vibrations.

This book presents a novel theory of multibody dynamics with distinct features, including unified continuum theory, multiscale modeling technology of multibody system, and motion formalism implementation. All these features together with the introductions of fundamental concepts of vector, dual vector, tensor, dual tensor, recursive descriptions of joints, and the higher-order implicit solvers formulate the scope of the book's content. In this book, a multibody system is defined as a set consisted of flexible and rigid bodies which are connected by any kinds of joints or constraints to achieve the desired motion. Generally, the motion of multibody system includes the translation and rotation; it is more efficient to describe the motion by using the dual vector or dual tensor directly instead of defining two types of variables, the translation and rotation separately. Furthermore, this book addresses the detail of motion formalism and its finite element implementation of the solid, shell-like, and beam-like structures. It also introduces the fundamental concepts of mechanics, such as the definition of vector, dual vector, tensor, and dual tensor, briefly. Without following the Einstein summation convention, the first- and second-order tensor operations in this book are depicted by linear algebraic operation symbols of row array, column array, and two-dimensional matrix, making these operations easier to understand. In addition, for the integral of governing equations of motion, a set of ordinary differential equations for the finite element-based discrete system, the book discussed the implementation of implicit solvers in detail and introduced the well-developed RADAU IIA algorithms based on post-error estimation to make the contents of the book complete. The intended readers of this book are senior engineers and graduate students in related engineering fields.

This book offers a current image of modern mechanics. The book reflects current state of the art in the field of continuum mechanics and mechanics of structures including recent achievements in classic and non-classic approaches. The chapters are written by leading specialist in the field, so the book collects cutting edge investigations in the field. As a target we consider the society starting from beginners, i.e. master and PhD students, and also leaders in the field, that is professors of universities and civil, mechanical and aerospace engineers.

This book reports on innovative research in solid and fluid mechanics, and thermal engineering, giving a special emphasis on methods, modeling, and simulation tools for analyzing material behavior and energy systems. It gathers the best papers presented at 15th International Moroccan Congress of Mechanics'Congrès de Mécanique', CMM 2022, held on May 24-27, 2022, in Casablanca, Morocco, and organized by the Moroccan Society of Mechanics (SMSM) and the Faculty of Science Ain Chock of the University of Hassan II, Casablanca, Morocco. With a good balance of theory and practice, the book offers a timely snapshot of current advances in mechanics, and a source of inspiration for future research and international collaborations.

This book provides an overview of direct methods, such as limit and shakedown analysis, which are intended for avoiding cumbersome step-by-step calculations to determine the limit states of mechanical structures under monotone, cyclic or variable actions with unknown loading history. The book comprises several contributions that demonstrate how tremendous advances in numerical methods, especially in optimization, have contributed to the success of direct methods and their applicability to practical engineering problems in structural mechanics and mechanics of materials. The contents reflect the outcomes of the workshop “Direct Methods for Limit State of Materials and Structures,” held in Cosenza, Italy in June 2022.

This book presents articles from The 17th East Asian-Pacific Conference on Structural Engineering and Construction, 2022, organized by National University of Singapore. These peer-reviewed articles, authored by professional engineers, academics and researchers, highlight the recent research and developments in structural engineering and construction, embracing the theme- “Towards a Resilient and Sustainable City”. The papers presented in this proceeding provide in-depth discussions with key insights into the future research, development and engineering translation in structural engineering and construction.

This book presents fundamental theory of shock and detonation waves as well as selected studies in detonation research in Japan, contributed by selected experts in safety research on explosives, development of industrial explosives, and application of explosives. It also reports detonation research in Japan featuring industrial explosives that include ammonium nitrate-based explosives and liquid explosives. Intended as a monographic-style book, it consistently uses technical terms and symbols and creates organic links between various detonation phenomena in application of explosives, fundamental theory of detonation waves, measurement methods, and individual studies. Among other features, the book presents a historical perspective of shock wave and detonation research in Japan, pedagogical materials for young researchers in detonation physics, and an introduction to works in Japan, including equations of state, which are worthy of attention but about which very little is knowninternationally. Further, the concise pedagogical chapters also characterize this book as a primer of detonation of condensed explosives and help readers start their own research.

The book is designed to serve as a textbook for courses offered to graduate and upper-undergraduate students enrolled in mechanical engineering. The book attempts to make students with mathematical backgrounds comfortable with numerical methods. The book also serves as a handy reference for practicing engineers who are interested in applications. The book is written in an easy-to-understand manner, with the essence of each numerical method clearly stated. This makes it easy for professional engineers, students, and early career researchers to follow the material presented in the book. The structure of the book has been modeled accordingly. It is divided into four modules: i) solution of a system of equations and eigenvalues which includes linear equations, determining eigenvalues, and solution of nonlinear equations; ii) function approximations: interpolation, data fit, numerical differentiation, and numerical integration; iii) solution of ordinary differential equations—initial valueproblems and boundary value problems; and iv) solution of partial differential equations—parabolic, elliptic, and hyperbolic PDEs. Each section of the book includes exercises to reinforce the concepts, and problems have been added at the end of each chapter. Exercise problems may be solved by using computational tools such as scientific calculators, spreadsheet programs, and MATLAB codes. The detailed coverage and pedagogical tools make this an ideal textbook for students, early career researchers, and professionals.

The book presents the fundamentals of the Galerkin Finite Element Method for linear boundary value problems from an engineering perspective. Emphasis is given to the theoretical foundation of the method rooted in Functional Analysis using a language accessible to engineers. The book discusses standard procedures for applying the method to time-dependent and nonlinear problems and addresses essential aspects of applying the method to non-linear dynamics and multi-physics problems. It also provides several hand-calculation exercises as well as specific computer exercises with didactic character. About one fourth of the exercises reveals common pitfalls and sources of errors when applying the method. Carefully selected literature recommendations for further studies are provided at the end of each chapter. The reader is expected to have prior knowledge in engineering mathematics, in particular real analysis and linear algebra. The elements of algebra and analysis requiredin the main part of the book are presented in corresponding sections of the appendix. Students should already have an education in strength of materials or another engineering field, such as heat or mass transport, which discusses boundary value problems for simple geometries and boundary conditions.

This book deals with the analysis of plates and shells and is divided into four sections. After briefly introducing the basics of elasticity theory and the energy methods of elastostatics in the first section, the second section is devoted to the statics of disk structures. In addition to isotropic disks in Cartesian and polar coordinates, approximation methods and anisotropic disks are also discussed. The following third section deals with plate structures, covering plates in Cartesian and polar coordinates, and also discussing approximation methods and higher-order plate theories. Other chapters in this section discuss plate buckling as well as geometric nonlinear analysis and laminated plates. The fourth and final section of this book is devoted to shells, i.e., curved thin structures, following the common division into membrane theory on the one hand and bending theory on the other hand. This book is intended for students at universities, but also for engineers in practice andresearchers in engineering science.

This book presents the theory of plates and shells on the basis of the three-dimensional parent theory. The authors explore the thinness of the structure to represent the mechanics of the actual thin three-dimensional body under consideration by a more tractable two-dimensional theory associated with an interior surface. In this way, the relatively complex three-dimensional continuum mechanics of the thin body is replaced by a far more tractable two-dimensional theory. To ensure that the resulting model is predictive, it is necessary to compensate for this ‘dimension reduction'by assigning additional kinematical and dynamical descriptors to the surface whose deformations are modelled by the simpler two-dimensional theory. The authors avoid the various ad hoc assumptions made in the historical development of the subject, most notably the classical Kirchhoff–Love hypothesis requiring that material lines initially normal to the shell surface remain so after deformation. Instead, suchconditions, when appropriate, are here derived rather than postulated.

This book provides an introduction to the fundamental theory, practical implementation, and core and emerging applications of the material point method (MPM) and its variants. The MPM combines the advantages of both finite element analysis (FEM) and meshless/meshfree methods (MMs) by representing the material by a set of particles overlaid on a background mesh that serves as a computational scratchpad.The book shows how MPM allows a robust, accurate, and efficient simulation of a wide variety of material behaviors without requiring overly complex implementations. MPM and its variants have been shown to be successful in simulating a large number of high deformation and complicated engineering problems such as densification of foam, sea ice dynamics, landslides, and energetic device explosions, to name a few, and have recently found applications in the movie industry. It is hoped that this comprehensive exposition on MPM variants and their applications will not only provide anopportunity to re-examine previous contributions, but also to re-organize them in a coherent fashion and in anticipation of new advances.Sample algorithms for the solutions of benchmark problems are provided online so that researchers and graduate students can modify these algorithms and develop their own solution algorithms for specific problems. The goal of this book is to provide students and researchers with a theoretical and practical knowledge of the material point method to analyze engineering problems, and it may help initiate and promote further in-depth studies on the subjects discussed.

The volume provides a comprehensive understanding of the macroscopic failure behavior of solids from the description of the microscopic failure processes and their coupling with the microstructure. Several fundamental questions were addressed: the relation between the microstructural features of materials and their fracture properties and crack trajectories; the role of damage mechanisms and non-linear deformations near the crack tip on the failure behavior of solids; and finally the role of dynamic inertial effects during fast fracture was more briefly evoked. The chapters provide a pedagogical overview of recently developed concepts and tools, that permit to perform the transition from small scales to large ones in fracture problems, thus introducing basic rules for the rational design of tough solids.