Continuum Mechanics

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A First Course in Continuum Mechanics

Oscar Gonzalez,Andrew M. Stuart
A First Course in Continuum Mechanics Book PDF

Author : Oscar Gonzalez,Andrew M. Stuart
Publisher : Cambridge University Press
Page : 5 pages
File Size : 41,8 Mb
Release : 2008-01-17
Category : Science
ISBN : 9780521886802

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A First Course in Continuum Mechanics by Oscar Gonzalez,Andrew M. Stuart Pdf

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.

Introduction to Continuum Mechanics

W Michael Lai,Erhard Krempl,David Rubin
Introduction to Continuum Mechanics Book PDF

Author : W Michael Lai,Erhard Krempl,David Rubin
Publisher : Elsevier
Page : 570 pages
File Size : 53,7 Mb
Release : 2014-06-28
Category : Technology & Engineering
ISBN : 9780080509136

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Introduction to Continuum Mechanics by W Michael Lai,Erhard Krempl,David Rubin Pdf

Introduction to Continuum Mechanics is a recently updated and revised text which is perfect for either introductory courses in an undergraduate engineering curriculum or for a beginning graduate course. Continuum Mechanics studies the response of materials to different loading conditions. The concept of tensors is introduced through the idea of linear transformation in a self-contained chapter, and the interrelation of direct notation, indicial notation, and matrix operations is clearly presented. A wide range of idealized materials are considered through simple static and dynamic problems, and the book contains an abundance of illustrative examples of problems, many with solutions. Serves as either a introductory undergraduate course or a beginning graduate course textbook. Includes many problems with illustrations and answers.

Continuum Mechanics

Fridtjov Irgens
Continuum Mechanics Book PDF

Author : Fridtjov Irgens
Publisher : Springer Science & Business Media
Page : 661 pages
File Size : 41,7 Mb
Release : 2008-01-10
Category : Science
ISBN : 9783540742982

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Continuum Mechanics by Fridtjov Irgens Pdf

This book presents an introduction into the entire science of Continuum Mechanics in three parts. The presentation is modern and comprehensive. Its introduction into tensors is very gentle. The book contains many examples and exercises, and is intended for scientists, practitioners and students of mechanics.

Continuum Damage Mechanics

Sumio Murakami
Continuum Damage Mechanics Book PDF

Author : Sumio Murakami
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 49,6 Mb
Release : 2012-02-24
Category : Technology & Engineering
ISBN : 9789400726659

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Continuum Damage Mechanics by Sumio Murakami Pdf

Recent developments in engineering and technology have brought about serious and enlarged demands for reliability, safety and economy in wide range of fields such as aeronautics, nuclear engineering, civil and structural engineering, automotive and production industry. This, in turn, has caused more interest in continuum damage mechanics and its engineering applications. This book aims to give a concise overview of the current state of damage mechanics, and then to show the fascinating possibility of this promising branch of mechanics, and to provide researchers, engineers and graduate students with an intelligible and self-contained textbook. The book consists of two parts and an appendix. Part I is concerned with the foundation of continuum damage mechanics. Basic concepts of material damage and the mechanical representation of damage state of various kinds are described in Chapters 1 and 2. In Chapters 3-5, irreversible thermodynamics, thermodynamic constitutive theory and its application to the modeling of the constitutive and the evolution equations of damaged materials are descried as a systematic basis for the subsequent development throughout the book. Part II describes the application of the fundamental theories developed in Part I to typical damage and fracture problems encountered in various fields of the current engineering. Important engineering aspects of elastic-plastic or ductile damage, their damage mechanics modeling and their further refinement are first discussed in Chapter 6. Chapters 7 and 8 are concerned with the modeling of fatigue, creep, creep-fatigue and their engineering application. Damage mechanics modeling of complicated crack closure behavior in elastic-brittle and composite materials are discussed in Chapters 9 and 10. In Chapter 11, applicability of the local approach to fracture by means of damage mechanics and finite element method, and the ensuing mathematical and numerical problems are briefly discussed. A proper understanding of the subject matter requires knowledge of tensor algebra and tensor calculus. At the end of this book, therefore, the foundations of tensor analysis are presented in the Appendix, especially for readers with insufficient mathematical background, but with keen interest in this exciting field of mechanics.

Continuum Mechanics and Theory of Materials

Peter Haupt
Continuum Mechanics and Theory of Materials Book PDF

Author : Peter Haupt
Publisher : Springer Science & Business Media
Page : 666 pages
File Size : 40,9 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662047750

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Continuum Mechanics and Theory of Materials by Peter Haupt Pdf

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.

Continuum Mechanics

P. Chadwick
Continuum Mechanics Book PDF

Author : P. Chadwick
Publisher : Courier Corporation
Page : 191 pages
File Size : 46,8 Mb
Release : 2012-08-08
Category : Science
ISBN : 9780486139142

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Continuum Mechanics by P. Chadwick Pdf

DIVComprehensive treatment offers 115 solved problems and exercises to promote understanding of vector and tensor theory, basic kinematics, balance laws, field equations, jump conditions, and constitutive equations. /div

Continuum Mechanics

A. J. M. Spencer
Continuum Mechanics Book PDF

Author : A. J. M. Spencer
Publisher : Courier Corporation
Page : 194 pages
File Size : 55,8 Mb
Release : 2012-06-08
Category : Science
ISBN : 9780486139470

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Continuum Mechanics by A. J. M. Spencer Pdf

Undergraduate text offers an analysis of deformation and stress, covers laws of conservation of mass, momentum, and energy, and surveys the formulation of mechanical constitutive equations. 1992 edition.

Elements of Continuum Mechanics and Conservation Laws

S.K. Godunov,Evgenii Romenskii
Elements of Continuum Mechanics and Conservation Laws Book PDF

Author : S.K. Godunov,Evgenii Romenskii
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 50,6 Mb
Release : 2003-05-31
Category : Computers
ISBN : 0306477351

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Elements of Continuum Mechanics and Conservation Laws by S.K. Godunov,Evgenii Romenskii Pdf

Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.

Continuum Mechanics

Ellis H. Dill
Continuum Mechanics Book PDF

Author : Ellis H. Dill
Publisher : CRC Press
Page : 368 pages
File Size : 54,5 Mb
Release : 2006-11-10
Category : Science
ISBN : 9781420009828

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Continuum Mechanics by Ellis H. Dill Pdf

Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject th

Continuum Mechanics Through the Twentieth Century

Gerard A Maugin
Continuum Mechanics Through the Twentieth Century Book PDF

Author : Gerard A Maugin
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 52,8 Mb
Release : 2013-04-08
Category : Science
ISBN : 9789400763531

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Continuum Mechanics Through the Twentieth Century by Gerard A Maugin Pdf

This overview of the development of continuum mechanics throughout the twentieth century is unique and ambitious. Utilizing a historical perspective, it combines an exposition on the technical progress made in the field and a marked interest in the role played by remarkable individuals and scientific schools and institutions on a rapidly evolving social background. It underlines the newly raised technical questions and their answers, and the ongoing reflections on the bases of continuum mechanics associated, or in competition, with other branches of the physical sciences, including thermodynamics. The emphasis is placed on the development of a more realistic modeling of deformable solids and the exploitation of new mathematical tools. The book presents a balanced appraisal of advances made in various parts of the world. The author contributes his technical expertise, personal recollections, and international experience to this general overview, which is very informative albeit concise.

Continuum Mechanics

D. S. Chandrasekharaiah,Lokenath Debnath
Continuum Mechanics Book PDF

Author : D. S. Chandrasekharaiah,Lokenath Debnath
Publisher : Elsevier
Page : 595 pages
File Size : 48,7 Mb
Release : 2014-05-19
Category : Science
ISBN : 9781483294681

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Continuum Mechanics by D. S. Chandrasekharaiah,Lokenath Debnath Pdf

A detailed and self-contained text written for beginners, Continuum Mechanics offers concise coverage of the basic concepts, general principles, and applications of continuum mechanics. Without sacrificing rigor, the clear and simple mathematical derivations are made accessible to a large number of students with little or no previous background in solid or fluid mechanics. With the inclusion of more than 250 fully worked-out examples and 500 worked exercises, this book is certain to become a standard introductory text for students as well as an indispensable reference for professionals. Key Features * Provides a clear and self-contained treatment of vectors, matrices, and tensors specifically tailored to the needs of continuum mechanics * Develops the concepts and principles common to all areas in solid and fluid mechanics with a common notation and terminology * Covers the fundamentals of elasticity theory and fluid mechanics

Classical Continuum Mechanics

Karan S. Surana
Classical Continuum Mechanics Book PDF

Author : Karan S. Surana
Publisher : CRC Press
Page : 829 pages
File Size : 44,9 Mb
Release : 2022-01-24
Category : Science
ISBN : 9781000512342

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Classical Continuum Mechanics by Karan S. Surana Pdf

This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua. Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics. This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.

Notes on Continuum Mechanics

Eduardo WV Chaves
Notes on Continuum Mechanics Book PDF

Author : Eduardo WV Chaves
Publisher : Springer Science & Business Media
Page : 673 pages
File Size : 41,9 Mb
Release : 2013-06-13
Category : Science
ISBN : 9789400759862

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Notes on Continuum Mechanics by Eduardo WV Chaves Pdf

This publication is aimed at students, teachers, and researchers of Continuum Mechanics and focused extensively on stating and developing Initial Boundary Value equations used to solve physical problems. With respect to notation, the tensorial, indicial and Voigt notations have been used indiscriminately. The book is divided into twelve chapters with the following topics: Tensors, Continuum Kinematics, Stress, The Objectivity of Tensors, The Fundamental Equations of Continuum Mechanics, An Introduction to Constitutive Equations, Linear Elasticity, Hyperelasticity, Plasticity (small and large deformations), Thermoelasticity (small and large deformations), Damage Mechanics (small and large deformations), and An Introduction to Fluids. Moreover, the text is supplemented with over 280 figures, over 100 solved problems, and 130 references.

Continuum Mechanics with Eulerian Formulations of Constitutive Equations

M.B. Rubin
Continuum Mechanics with Eulerian Formulations of Constitutive Equations Book PDF

Author : M.B. Rubin
Publisher : Springer Nature
Page : 284 pages
File Size : 53,6 Mb
Release : 2020-10-11
Category : Science
ISBN : 9783030577766

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Continuum Mechanics with Eulerian Formulations of Constitutive Equations by M.B. Rubin Pdf

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 of Anisotropic Materials

Stephen C. Cowin
Continuum Mechanics of Anisotropic Materials Book PDF

Author : Stephen C. Cowin
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 54,8 Mb
Release : 2013-01-09
Category : Technology & Engineering
ISBN : 9781461450252

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Continuum Mechanics of Anisotropic Materials by Stephen C. Cowin Pdf

Continuum Mechanics of Anisotropic Materials(CMAM) presents an entirely new and unique development of material anisotropy in the context of an appropriate selection and organization of continuum mechanics topics. These features will distinguish this continuum mechanics book from other books on this subject. Textbooks on continuum mechanics are widely employed in engineering education, however, none of them deal specifically with anisotropy in materials. For the audience of Biomedical, Chemical and Civil Engineering students, these materials will be dealt with more frequently and greater accuracy in their analysis will be desired. Continuum Mechanics of Anisotropic Materials' author has been a leader in the field of developing new approaches for the understanding of anisotropic materials.