Introduction To Nonlinear Thermomechanics

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Introduction to Nonlinear Thermomechanics

Andrzej Sluzalec
Introduction to Nonlinear Thermomechanics Book PDF

Author : Andrzej Sluzalec
Publisher : Springer Science & Business Media
Page : 187 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781447119067

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Introduction to Nonlinear Thermomechanics by Andrzej Sluzalec Pdf

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.

Introduction to Nonlinear Thermomechanics of Solids

Michał Kleiber,Piotr Kowalczyk
Introduction to Nonlinear Thermomechanics of Solids Book PDF

Author : Michał Kleiber,Piotr Kowalczyk
Publisher : Springer
Page : 345 pages
File Size : 52,5 Mb
Release : 2016-06-24
Category : Science
ISBN : 9783319334554

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Introduction to Nonlinear Thermomechanics of Solids by Michał Kleiber,Piotr Kowalczyk Pdf

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.

The Thermomechanics of Nonlinear Irreversible Behaviors

G‚rard A. Maugin
The Thermomechanics of Nonlinear Irreversible Behaviors Book PDF

Author : G‚rard A. Maugin
Publisher : World Scientific
Page : 398 pages
File Size : 45,5 Mb
Release : 1999
Category : Science
ISBN : 9810233752

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The Thermomechanics of Nonlinear Irreversible Behaviors by G‚rard A. Maugin Pdf

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.

An Introduction to Thermomechanics

H. Ziegler
An Introduction to Thermomechanics Book PDF

Author : H. Ziegler
Publisher : Elsevier
Page : 370 pages
File Size : 42,8 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598936

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An Introduction to Thermomechanics by H. Ziegler Pdf

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.

Selected Problems of Contemporary Thermomechanics

Jerzy Winczek
Selected Problems of Contemporary Thermomechanics Book PDF

Author : Jerzy Winczek
Publisher : BoD – Books on Demand
Page : 76 pages
File Size : 49,9 Mb
Release : 2018-10-10
Category : Technology & Engineering
ISBN : 9781789237627

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Selected Problems of Contemporary Thermomechanics by Jerzy Winczek Pdf

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.

Thermomechanics

J. C. Gibbings
Thermomechanics Book PDF

Author : J. C. Gibbings
Publisher : Elsevier
Page : 322 pages
File Size : 43,6 Mb
Release : 2016-06-06
Category : Technology & Engineering
ISBN : 9781483184166

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Thermomechanics by J. C. Gibbings Pdf

Thermomechanics gives an introduction to the governing equations of thermodynamics and of the mechanics of fluids. The book first gives a summary of the Newtonian mechanics of rigid bodies, which is followed by a discussion of mechanical properties of infinitesimal elements, including continuum, density, surface tension, stresses, and pressure. Temperature and the zero'th law; units; and the system of finite size are then examined. The book also explains the laws of thermodynamics including its applications. Heat processes, motionless fluids, and mixtures of phases are also tackled. The text then explains the conservation of mass in a fluid flow; the equations relating process phenomena; and the momentum equation for fluids in motion. The last part encompasses the adiabatic flow. The text will best serve those interested in thermomechanics and related concepts.

Thermomechanics of Continua

Krzysztof Wilmanski
Thermomechanics of Continua Book PDF

Author : Krzysztof Wilmanski
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642589348

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Thermomechanics of Continua by Krzysztof Wilmanski Pdf

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.

Mechanics and Thermodynamics

Wolfgang Demtröder
Mechanics and Thermodynamics Book PDF

Author : Wolfgang Demtröder
Publisher : Springer
Page : 452 pages
File Size : 54,9 Mb
Release : 2017-02-06
Category : Science
ISBN : 9783319278773

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Mechanics and Thermodynamics by Wolfgang Demtröder Pdf

This introduction to classical mechanics and thermodynamics provides an accessible and clear treatment of the fundamentals. Starting with particle mechanics and an early introduction to special relativity this textbooks enables the reader to understand the basics in mechanics. The text is written from the experimental physics point of view, giving numerous real life examples and applications of classical mechanics in technology. This highly motivating presentation deepens the knowledge in a very accessible way. The second part of the text gives a concise introduction to rotational motion, an expansion to rigid bodies, fluids and gases. Finally, an extensive chapter on thermodynamics and a short introduction to nonlinear dynamics with some instructive examples intensify the knowledge of more advanced topics. Numerous problems with detailed solutions are perfect for self study.

Computational Welding Mechanics

Lars-Erik Lindgren
Computational Welding Mechanics Book PDF

Author : Lars-Erik Lindgren
Publisher : Elsevier
Page : 246 pages
File Size : 45,5 Mb
Release : 2014-01-23
Category : Computers
ISBN : 9781845693558

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Computational Welding Mechanics by Lars-Erik Lindgren Pdf

Computational welding mechanics (CWM) provides an important technique for modelling welding processes. Welding simulations are a key tool in improving the design and control of welding processes and the performance of welded components or structures. CWM can be used to model phenomena such as heat generation, thermal stresses and large plastic deformations of components or structures. It also has a wider application in modelling thermomechanical and microstructural phenomena in metals. This important book reviews the principles, methods and applications of CWM. The book begins by discussing the physics of welding before going on to review modelling methods and options as well as validation techniques. It also reviews applications in areas such as fatigue, buckling and deformation, improved service life of components and process optimisation. Some of the numerical methods described in the book are illustrated using software available from the author which allows readers to explore CWM in more depth. Computational welding mechanics is a standard work for welding engineers and all those researching welding processes and wider thermomechanical and microstructural phenomena in metals. Highlights the principles, methods and applications of CWM Discusses the physics of welding Assesses modelling methods and validation techniques

Thermodynamics of Chaotic Systems

Christian Beck,Friedrich Schögl
Thermodynamics of Chaotic Systems Book PDF

Author : Christian Beck,Friedrich Schögl
Publisher : Cambridge University Press
Page : 310 pages
File Size : 41,6 Mb
Release : 1993-07
Category : Mathematics
ISBN : 9780521433679

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Thermodynamics of Chaotic Systems by Christian Beck,Friedrich Schögl Pdf

This book deals with the various thermodynamic concepts used for the analysis of nonlinear dynamical systems. The most important invariants used to characterize chaotic systems are introduced in a way that stresses the interconnections with thermodynamics and statistical mechanics. Among the subjects treated are probabilistic aspects of chaotic dynamics, the symbolic dynamics technique, information measures, the maximum entropy principle, general thermodynamic relations, spin systems, fractals and multifractals, expansion rate and information loss, the topological pressure, transfer operator methods, repellers and escape. The more advanced chapters deal with the thermodynamic formalism for expanding maps, thermodynamic analysis of chaotic systems with several intensive parameters, and phase transitions in nonlinear dynamics.

Linear and Non-linear Mechanical Behavior of Solid Materials

Christian Lexcellent
Linear and Non linear Mechanical Behavior of Solid Materials Book PDF

Author : Christian Lexcellent
Publisher : Springer
Page : 259 pages
File Size : 47,6 Mb
Release : 2017-05-23
Category : Science
ISBN : 9783319556093

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Linear and Non-linear Mechanical Behavior of Solid Materials by Christian Lexcellent Pdf

This book offers an essential introduction to the linear and non-linear behavior of solid materials, and to the concepts of deformation, displacement and stress, within the context of continuum mechanics and thermodynamics. To illustrate the fundamental principles, the book starts with an overview of solid mechanics, experimental methods, classes of material behaviors, and the thermodynamic modeling framework. It then explores linear elastic behavior, thermoelasticity, plasticity, viscoplasticity, fracture mechanics and damage behavior. The last part of the book is devoted to conventional and magnetic shape memory alloys, which may be used as actuators or sensors in adaptive structures. Given its range of coverage, the book will be especially valuable for students of engineering courses in Mechanics. Further, it includes a wealth of examples and exercises, making it accessible to the widest possible audience.

Nonlinear Solid Mechanics

Gerhard A. Holzapfel
Nonlinear Solid Mechanics Book PDF

Author : Gerhard A. Holzapfel
Publisher : Unknown
Page : 482 pages
File Size : 52,9 Mb
Release : 2000-04-06
Category : Mathematics
ISBN : STANFORD:36105028490071

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Nonlinear Solid Mechanics by Gerhard A. Holzapfel Pdf

Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.

Nonlinear Nonequilibrium Thermodynamics I

Rouslan L. Stratonovich
Nonlinear Nonequilibrium Thermodynamics I Book PDF

Author : Rouslan L. Stratonovich
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642773433

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Nonlinear Nonequilibrium Thermodynamics I by Rouslan L. Stratonovich Pdf

This book gives the first detailed coherent treatment of a relatively young branch of statistical physics - nonlinear nonequilibrium and fluctuation-dissipative thermo dynamics. This area of research has taken shape fairly recently: its development began in 1959. The earlier theory -linear nonequilibrium thermodynamics - is in principle a simple special case of the new theory. Despite the fact that the title of this book includes the word "nonlinear", it also covers the results of linear nonequilibrium thermodynamics. The presentation of the linear and nonlinear theories is done within a common theoretical framework that is not subject to the linearity condition. The author hopes that the reader will perceive the intrinsic unity of this discipline, and the uniformity and generality of its constituent parts. This theory has a wide variety of applications in various domains of physics and physical chemistry, enabling one to calculate thermal fluctuations in various nonlinear systems. The book is divided into two volumes. Fluctuation-dissipation theorems (or relations) of various types (linear, quadratic and cubic, classical and quantum) are considered in the first volume. Here one encounters the Markov and non-Markov fluctuation-dissipation theorems (FDTs), theorems of the first, second and third kinds. Nonlinear FDTs are less well known than their linear counterparts.

Thermomechanical Behavior of Dissipative Composite Materials

George Chatzigeorgiou,Nicholas Charalambakis,Yves Chemisky,Fodil Meraghni
Thermomechanical Behavior of Dissipative Composite Materials Book PDF

Author : George Chatzigeorgiou,Nicholas Charalambakis,Yves Chemisky,Fodil Meraghni
Publisher : Elsevier
Page : 296 pages
File Size : 41,5 Mb
Release : 2018-01-16
Category : Technology & Engineering
ISBN : 9780081025529

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Thermomechanical Behavior of Dissipative Composite Materials by George Chatzigeorgiou,Nicholas Charalambakis,Yves Chemisky,Fodil Meraghni Pdf

Thermomechanical Behavior of Dissipative Composite Materials presents theoretical and numerical tools for studying materials and structures under fully coupled thermomechanical conditions, focusing primarily on composites. The authors cover many aspects of the modeling process and provide the reader with the knowledge required to identify the conservation laws and thermodynamic principles that must be respected by most solid materials. The book also covers construct constitutive laws for various types of dissipative processes, both rate-independent and rate-dependent, by utilizing a rigorous thermodynamic framework. Topics explored are useful for graduate students and advanced researchers who wish to strengthen their knowledge of the application of thermodynamic principles. Identifies the conservation laws and thermodynamic principles that need to be respected by any solid material Presents construct, proper constitutive laws for various types of dissipative processes, both rate-independent and rate-dependent, by utilizing an appropriate thermodynamic framework Includes robust numerical algorithms that permit accuracy and efficiency in the calculations of very complicated constitutive laws Uses rigorous homogenization theories for materials and structures with both periodic and random microstructure

Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress Rates

Sergey Korobeynikov,Alexey Larichkin
Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress Rates Book PDF

Author : Sergey Korobeynikov,Alexey Larichkin
Publisher : Springer Nature
Page : 114 pages
File Size : 44,6 Mb
Release : 2023-04-19
Category : Science
ISBN : 9783031296321

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Objective Algorithms for Integrating Hypoelastic Constitutive Relations Based on Corotational Stress Rates by Sergey Korobeynikov,Alexey Larichkin Pdf

This book provides readers with a deep understanding of the use of objective algorithms for integration of constitutive relations (CRs) for Hooke-like hypoelasticity based on the use of corotational stress rates. The purpose of objective algorithms is to perform the step-by-step integration of CRs using fairly large time steps that provide high accuracy of this integration in combination with the exact reproduction of superimposed rigid body motions. Since Hooke-like hypoelasticity is included as a component in CRs for elastic-inelastic materials (e.g., in CRs for elastic-plastic materials), the scope of these algorithms is not limited to hypoelastic materials, but extends to many other materials subjected to large deformations. The authors performed a comparative analysis of the performance of most currently available objective algorithms, provided some recommendations for improving the existing formulations of these algorithms, and presented new formulations of the so-called absolutely objective algorithms. The proposed book will be useful for beginner researchers in the development of economical methods for integrating elastic-inelastic CRs, as well as for experienced researchers, by providing a compact overview of existing objective algorithms and new formulations of these algorithms. The book will also be useful for developers of computer codes for implementing objective algorithms in FE systems. In addition, this book will also be useful for users of commercial FE codes, since often these codes are so-called black boxes and this book shows how to test accuracy of the algorithms of these codes for integrating elastic-inelastic CRs in modeling large rotations superimposed on the uniform deformation of any sample.