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Continuum Thermomechanics

Author: Alfredo Bermúdez de Castro

Publisher: Springer Science & Business Media

Published: 2006-03-17

Total Pages: 203

ISBN-13: 3764373830

The general goal of this book is to deduce rigorously, from the first principles, the partial differential equations governing the thermodynamic processes undergone by continuum media under forces and heat. Solids and fluids are considered in a unified framework. Reacting mixtures of fluids are also included for which general notions of thermodynamics are recalled, such as the Gibbs equilibrium theory. Linear approximate models are mathematically obtained by calculating the derivatives of the constitutive response functions. They include the classical models for linear vibrations of thermoelastic solids and also for wave propagation in fluids (dissipative and non-dissipative acoustics and internal gravity waves).

The Thermomechanics of Nonlinear Irreversible Behaviors

Author: Grard A. Maugin

Publisher: World Scientific

Published: 1999

Total Pages: 398

ISBN-13: 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.

Thermomechanics and Infra-Red Imaging, Volume 7

Author: Tom Proulx

Publisher: Springer Science & Business Media

Published: 2011-05-21

Total Pages: 130

ISBN-13: 1461402077

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Thermomechanics and Infra-Red Imaging represents one of eight volumes of technical papers presented at the Society for Experimental Mechanics Annual Conference on Experimental and Applied Mechanics, held at Uncasville, Connecticut, June 13-16, 2011. The full set of proceedings also includes volumes on Dynamic Behavior of Materials, Mechanics of Biological Systems and Materials, Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, MEMS and Nanotechnology; Optical Measurements, Modeling and, Metrology; Experimental and Applied Mechanics, and Engineering Applications of Residual Stress.

Thermomechanics of Continua

Author: Krzysztof Wilmanski

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 284

ISBN-13: 3642589340

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The notion of continuum thermodynamics, adopted in this book, is primarily understood as a strategy for development of continuous models of various physical systems. The examples of such a strategy presented in the book have both the classical character (e. g. thermoelastic materials, viscous fluids, mixtures) and the extended one (ideal gases, Maxwellian fluids, thermoviscoelastic solids etc. ). The latter has been limited intentionally to non-relativistic models; many important relativistic applications of the true extended thermodynamics will not be considered but can be found in the other sources. The notion of extended thermodynamics is also adopted in a less strict sense than suggested by the founders. For instance, in some cases we allow the constitutive dependence not only on the fields themselves but also on some derivatives. In this way, the new thermodynamical models may have some features of the usual nonequilibrium models and some of those of the extended models. This deviation from the strategy of extended thermodynamics is motivated by practical aspects; frequently the technical considerations of extended thermodynamics are so involved that one can no longer see important physical properties of the systems. This book has a different form from that usually found in books on continuum mechanics and continuum thermodynamics. The presentation of the formal structure of continuum thermodynamics is not always as rigorous as a mathematician might anticipate and the choice of physical subjects is too disperse to make a physicist happy.

Selected Problems of Contemporary Thermomechanics

Author: Jerzy Winczek

Publisher: BoD – Books on Demand

Published: 2018-10-10

Total Pages: 76

ISBN-13: 1789237629

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Thermomechanics is a scientific discipline which investigates the behavior of bodies under the action forces and heat input. Thermomechanical phenomena commonly occur in the human environment, from the action of solar radiation to the technological processes. The analysis of these phenomena often requires extensive interdisciplinary knowledge and the application of advanced mathematical apparatus. Thermo-mechanical phenomena are analyzed using analytical and numerical methods. The analytical solution offers a quicker assessment of the searched values and its dependence on the various parameters. Some problems can be solved only by numerical methods, of which the finite element method is commonly used. This book intends to present current trends and methods in solving thermomechanics problems.

An Introduction to Thermomechanics

Author: H. Ziegler

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 370

ISBN-13: 0444598936

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North-Holland Series in Applied Mathematics and Mechanics, Volume 21: An Introduction to Thermomechanics, Second Revised Edition focuses on the methodologies, reactions, and processes involved in thermomechanics, including kinematics, thermodynamics, elasticity, and tensors. The book first offers information on kinematics, kinetics, and thermodynamics. Discussions focus on field theory, state variables, momentum theorems, state of stress, energy theorem, state of motion, small displacements, and material derivatives. The manuscript then ponders on material properties, ideal liquids, linear elasticity, and inviscid gases. The text elaborates on viscous fluids, plastic bodies, viscoelasticity, and general tensors. Topics include tensor algebra, mechanical constitutive relations, thermomechanical extension, hereditary integrals, perfectly plastic bodies, turbulence, and basic equations. The book then reviews viscoelastic bodies, plasticity, non-Newtonian liquids, and maximal dissipation. The publication is a valuable reference for researchers wanting to dig deeper into thermomechanics.

Continuum Thermomechanics

Author: Gérard A. Maugin

Publisher: Springer Science & Business Media

Published: 2006-04-11

Total Pages: 428

ISBN-13: 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.

Introduction to Nonlinear Thermomechanics of Solids

Author: Michał Kleiber

Publisher: Springer

Published: 2016-06-24

Total Pages: 345

ISBN-13: 3319334557

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The first part of this textbook presents the mathematical background needed to precisely describe the basic problem of continuum thermomechanics. The book then concentrates on developing governing equations for the problem dealing in turn with the kinematics of material continuum, description of the state of stress, discussion of the fundamental conservation laws of underlying physics, formulation of initial-boundary value problems and presenting weak (variational) formulations. In the final part the crucial issue of developing techniques for solving specific problems of thermomechanics is addressed. To this aim the authors present a discretized formulation of the governing equations, discuss the fundamentals of the finite element method and develop some basic algorithms for solving algebraic and ordinary differential equations typical of problems on hand. Theoretical derivations are followed by carefully prepared computational exercises and solutions.

Mechanics and Thermomechanics of Rubberlike Solids

Author: Guiseppe Saccomandi

Publisher: Springer

Published: 2014-05-04

Total Pages: 259

ISBN-13: 3709125405

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This work gives for the first time an interdisciplinary and deep approach to the mathematical modelling of rubber-like materials considering both the molecular and phenomenological point of views. It contains an introduction to the suitable numerical techniques and an overview of experimental techniques and data with a short survey on some industrial applications. Elastic and inelastic effects are discussed in details. The book is suitable for applied mathematicians, mechanical engineers, civil engineers, material scientists and polymer scientists.

Introduction to Nonlinear Thermomechanics

Author: Andrzej Sluzalec

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 187

ISBN-13: 1447119061

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Professor Sluzalec is a well-known and respected authority in the field of Computational Mechanics, and his personal experience forms the basis of the book. Introduction to Nonlinear Thermomechanics provides both an elementary and advanced exposition of nonlinear thermomechanics. The scope includes theoretical aspects and their rational application in thermal problems, thermo-elastoplasticity, finite strain thermoplasticity and coupled thermoplasticity. The use of numerical techniques for the solution of problems and implementation of basic theory is included. Engineers, technicians, researchers, and advanced students will find the book an extremely useful compendium of solutions to problems. The scope is such that it would also be an effective teaching aid.