Thermomechanics of Solids and Structures

by Marko Canadija

Author	: Marko Canadija
Publisher	: Elsevier
Total Pages	: 390
Release	: 2023-04-19
Genre	: Science
ISBN	: 0128204486

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Thermomechanics of Solids and Structures: Physical Mechanisms, Continuum Mechanics, and Applications covers kinematics, balance equations, the strict thermodynamic frameworks of thermoelasticity, thermoplasticity, creep covering constitutive equations, the physical mechanisms of deformation, along with computational aspects. The book concludes with coverage of the thermodynamics of solids and applications of the constitutive three-dimensional model to both one-dimensional homogeneous and composite beam structures. Practical applications of the theories and techniques covered are emphasized throughout the book, with analytical solutions provided for various problems. - Provides foundational knowledge on continuum mechanics, covering kinematics, balance equations, isothermal elasticity and plasticity, variational principles, and more - Presents applications of constitutive 3D models to homogeneous and composite beams, including equations for stress and displacement estimation in thermoelastic beam problems - Reviews experimental results of thermoelastic material behavior, along with case studies to support reviews - Covers the inelastic behavior of materials at elevated temperatures, with experimental results for both monotonic and cyclic tensile tests presented - Looks at the physical mechanisms, experimental results, and constitutive modeling of creep

Continuum Thermomechanics

by Gérard A. Maugin

Author	: Gérard A. Maugin
Publisher	: Springer Science & Business Media
Total Pages	: 428
Release	: 2006-04-11
Genre	: Technology & Engineering
ISBN	: 0306469464

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Contributed by world-renowned specialists on the occasion of Paul Germain's 80th birthday, this unique book reflects the foundational works and the intellectual influence of this author. It presents the realm of modern thermomechanics with its extraordinary wealth of applications to the behaviour of materials, whether solid or fluid. The thirty-one contributions follow an easygoing autobiographical sketch by Paul Germain, and highlight the power and richness of a methodological approach to the phenomenology of many materials. This approach combines harmoniously thermodynamics and continuum theory in order to provide exploitable, thermodynamically admissible models of a large variety of behaviours and phenomena, including those of diffusion, thermoelasticity, viscoplasticity, relaxation, hysteresis, wetting, shape-memory effects, growth, phase transitions, stability, fracture, shocks, machining of materials, microstructured solids, complex fluids, etc. Especially aimed at graduate students, researchers, and engineers in mechanical engineering and materials science, this book also presents the state of the art in an active field of research and opens new horizons in other scientific fields, such as applied mathematics and applied physics, because of the intellectual satisfaction and remarkable efficiency provided by the advocated approach.

Fundamentals of Continuum Mechanics

by Stephen Bechtel

Author	: Stephen Bechtel
Publisher	: Academic Press
Total Pages	: 347
Release	: 2014-12-02
Genre	: Science
ISBN	: 0123948347

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Fundamentals of Continuum Mechanics provides a clear and rigorous presentation of continuum mechanics for engineers, physicists, applied mathematicians, and materials scientists. This book emphasizes the role of thermodynamics in constitutive modeling, with detailed application to nonlinear elastic solids, viscous fluids, and modern smart materials. While emphasizing advanced material modeling, special attention is also devoted to developing novel theories for incompressible and thermally expanding materials. A wealth of carefully chosen examples and exercises illuminate the subject matter and facilitate self-study. - Uses direct notation for a clear and straightforward presentation of the mathematics, leading to a better understanding of the underlying physics - Covers high-interest research areas such as small- and large-deformation continuum electrodynamics, with application to smart materials used in intelligent systems and structures - Offers a unique approach to modeling incompressibility and thermal expansion, based on the authors' own research

The Thermomechanics of Plasticity and Fracture

by Gérard A. Maugin

Author	: Gérard A. Maugin
Publisher	: Cambridge University Press
Total Pages	: 376
Release	: 1992-05-21
Genre	: Mathematics
ISBN	: 9780521397803

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This book concentrates upon the mathematical theory of plasticity and fracture as opposed to the physical theory of these fields, presented in the thermomechanical framework.

Continuum Mechanics and Thermodynamics

by Ellad B. Tadmor

Author	: Ellad B. Tadmor
Publisher	: Cambridge University Press
Total Pages	: 373
Release	: 2012
Genre	: Science
ISBN	: 1107008263

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Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

The Thermomechanics of Nonlinear Irreversible Behaviors

by Grard A. Maugin

Author	: Grard A. Maugin
Publisher	: World Scientific
Total Pages	: 398
Release	: 1999
Genre	: Science
ISBN	: 9789810233754

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In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result of the use of modern mathematical techniques such as convex analysis in a clear-cut framework which allows one to put under the umbrella of ?irreversible thermodynamics? behaviors which until now have been commonly considered either not easily covered, or even impossible to incorporate into such a framework.The book is intended for all students and researchers whose main concern is the rational modeling of complex and/or new materials with physical and engineering applications, such as those accounting for coupled-field, hysteresis, fracture, nonlinear-diffusion, and phase-transformation phenomena.

Phase Change in Mechanics

by Michel Frémond

Author	: Michel Frémond
Publisher	: Springer Science & Business Media
Total Pages	: 313
Release	: 2012-02-07
Genre	: Mathematics
ISBN	: 3642246095

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Predictive theories of phenomena involving phase change with applications in engineering are investigated in this volume, e.g. solid-liquid phase change, volume and surface damage, and phase change involving temperature discontinuities. Many other phase change phenomena such as solid-solid phase change in shape memory alloys and vapor-liquid phase change are also explored. Modeling is based on continuum thermo-mechanics. This involves a renewed principle of virtual power introducing the power of the microscopic motions responsible for phase change. This improvement yields a new equation of motion related to microscopic motions, beyond the classical equation of motion for macroscopic motions. The new theory sensibly improves the phase change modeling. For example, when warm rain falls on frozen soil, the dangerous black ice phenomenon can be comprehensively predicted. In addition, novel equations predict the evolution of clouds, which are themselves a mixture of air, liquid water and vapor.

Recent Developments in Thermomechanics of Solids

by G. Lebon

Author	: G. Lebon
Publisher	: Springer
Total Pages	: 421
Release	: 2014-05-04
Genre	: Science
ISBN	: 3709133513

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The main objective of the contributions contained in this volume is to present the thermodynamic foundations of the response of elastic and dissipative materials. In particular, the governing equations of non linear thermoelasticity and thermoinelasticity as well as the basic properties of these equations as resulting from the primary assumptions of continuum thermodynamics are derived. The global formulation of thermodynamics of continua is discussed. A special attention is paid to the properties of the balance equations on a singular surface. The possible forms of the second law of thermodynamics are discussed within the frame work ofaxiomatic thermodynamics. Furthermore, the thermodynamiG requirements for differ ent kinds of materials are examined. The secondary purpose of the Course was to discuss some connections between rational and classical formulations of the principles of thermodynamics. The present volume contains the texts of three (of the four delivered) Course lectures. I hope it will constitute a useful source of information on the problems presented and discussed in Udine. Special thanks are due to the International Centre for Mechanical Sciences whose direction encouraged us to prepare and to deliver the lectures.

Mathematical Methods in Continuum Mechanics of Solids

by Martin Kružík

Author	: Martin Kružík
Publisher	: Springer
Total Pages	: 624
Release	: 2019-03-02
Genre	: Science
ISBN	: 3030020657

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This book primarily focuses on rigorous mathematical formulation and treatment of static problems arising in continuum mechanics of solids at large or small strains, as well as their various evolutionary variants, including thermodynamics. As such, the theory of boundary- or initial-boundary-value problems for linear or quasilinear elliptic, parabolic or hyperbolic partial differential equations is the main underlying mathematical tool, along with the calculus of variations. Modern concepts of these disciplines as weak solutions, polyconvexity, quasiconvexity, nonsimple materials, materials with various rheologies or with internal variables are exploited. This book is accompanied by exercises with solutions, and appendices briefly presenting the basic mathematical concepts and results needed. It serves as an advanced resource and introductory scientific monograph for undergraduate or PhD students in programs such as mathematical modeling, applied mathematics, computational continuum physics and engineering, as well as for professionals working in these fields.