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Mechanics And Thermodynamics Of Continua


Mechanics And Thermodynamics Of Continua
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The Mechanics And Thermodynamics Of Continua


The Mechanics And Thermodynamics Of Continua
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Author : Morton E. Gurtin
language : en
Publisher: Cambridge University Press
Release Date : 2010-04-19

The Mechanics And Thermodynamics Of Continua written by Morton E. Gurtin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-19 with Science categories.


The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.



The Mechanics And Thermodynamics Of Continuous Media


The Mechanics And Thermodynamics Of Continuous Media
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Author : Miroslav Silhavy
language : en
Publisher: Springer Science & Business Media
Release Date : 1997

The Mechanics And Thermodynamics Of Continuous Media written by Miroslav Silhavy and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.


From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter



Continuum Mechanics With Eulerian Formulations Of Constitutive Equations


Continuum Mechanics With Eulerian Formulations Of Constitutive Equations
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Author : M.B. Rubin
language : en
Publisher: Springer Nature
Release Date : 2020-10-11

Continuum Mechanics With Eulerian Formulations Of Constitutive Equations written by M.B. Rubin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-11 with Science categories.


This book focuses on the need for an Eulerian formulation of constitutive equations. After introducing tensor analysis using both index and direct notation, nonlinear kinematics of continua is presented. The balance laws of the purely mechanical theory are discussed along with restrictions on constitutive equations due to superposed rigid body motion. The balance laws of the thermomechanical theory are discussed and specific constitutive equations are presented for: hyperelastic materials; elastic–inelastic materials; thermoelastic–inelastic materials with application to shock waves; thermoelastic–inelastic porous materials; and thermoelastic–inelastic growing biological tissues.



Continuum Mechanics And Theory Of Materials


Continuum Mechanics And Theory Of Materials
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Author : Peter Haupt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Continuum Mechanics And Theory Of Materials written by Peter Haupt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Technology & Engineering categories.


The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.



Physical Foundations Of Continuum Mechanics


Physical Foundations Of Continuum Mechanics
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Author : A. I. Murdoch
language : en
Publisher: Cambridge University Press
Release Date : 2012-10-22

Physical Foundations Of Continuum Mechanics written by A. I. Murdoch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-22 with Science categories.


This authoritative reference book examines and clarifies physical assumptions implicit in continuum modelling from a molecular perspective.



Mechanics And Thermodynamics Of Continua


Mechanics And Thermodynamics Of Continua
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Author : Hershel Markovitz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mechanics And Thermodynamics Of Continua written by Hershel Markovitz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


Reprinted from Archive for Rational Mechanics and Analysis edited by C. Truesdell



An Introduction To Continuum Mechanics


An Introduction To Continuum Mechanics
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Author : J. N. Reddy
language : en
Publisher: Cambridge University Press
Release Date : 2013-07-29

An Introduction To Continuum Mechanics written by J. N. Reddy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-29 with Mathematics categories.


This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.



Fundamentals Of Continuum Mechanics


Fundamentals Of Continuum Mechanics
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Author : John W. Rudnicki
language : en
Publisher: John Wiley & Sons
Release Date : 2014-11-10

Fundamentals Of Continuum Mechanics written by John W. Rudnicki and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-10 with Science categories.


A concise introductory course text on continuum mechanics Fundamentals of Continuum Mechanics focuses on the fundamentals of the subject and provides the background for formulation of numerical methods for large deformations and a wide range of material behaviours. It aims to provide the foundations for further study, not just of these subjects, but also the formulations for much more complex material behaviour and their implementation computationally. This book is divided into 5 parts, covering mathematical preliminaries, stress, motion and deformation, balance of mass, momentum and energy, and ideal constitutive relations and is a suitable textbook for introductory graduate courses for students in mechanical and civil engineering, as well as those studying material science, geology and geophysics and biomechanics. A concise introductory course text on continuum mechanics Covers the fundamentals of continuum mechanics Uses modern tensor notation Contains problems and accompanied by a companion website hosting solutions Suitable as a textbook for introductory graduate courses for students in mechanical and civil engineering



A First Course In Continuum Mechanics


A First Course In Continuum Mechanics
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Author : Oscar Gonzalez
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-17

A First Course In Continuum Mechanics written by Oscar Gonzalez and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-17 with Science categories.


The modeling and simulation of fluids, solids and other materials with significant coupling and thermal effects is becoming an increasingly important area of study in applied mathematics and engineering. Necessary for such studies is a fundamental understanding of the basic principles of continuum mechanics and thermodynamics. This book is a clear introduction to these principles. It is designed for a one- or two-quarter course for advanced undergraduate and beginning graduate students in the mathematical and engineering sciences, and is based on over nine years of teaching experience. It is also sufficiently self-contained for use outside a classroom environment. Prerequisites include a basic knowledge of linear algebra, multivariable calculus, differential equations and physics. The authors begin by explaining tensor algebra and calculus in three-dimensional Euclidean space. Using both index and coordinate-free notation, they introduce the basic axioms of continuum mechanics pertaining to mass, force, motion, temperature, energy and entropy, and the concepts of frame-indifference and material constraints. They devote four chapters to different theories of fluids and solids, and, unusually at this level, they consider both isothermal and thermal theories in detail. The book contains a wealth of exercises that support the theory and illustrate various applications. Full solutions to odd-numbered exercises are given at the end of each chapter and a complete solutions manual for all exercises is available to instructors upon request. Each chapter also contains a bibliography with references covering different presentations, further applications and numerical aspects of the theory. Book jacket.