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Introduction to Continuum Mechanics

Introduction to Continuum Mechanics Author David Rubin
ISBN-10 9780080983875
Release 2012-12-02
Pages 571
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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 and problems, many with solutions. Through the addition of more advanced material (solution of classical elasticity problems, constitutive equations for viscoelastic fluids, and finite deformation theory), this popular introduction to modern continuum mechanics has been fully revised to serve a dual purpose: for introductory courses in undergraduate engineering curricula, and for beginning graduate courses.



An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics Author J. N. Reddy
ISBN-10 9781107025431
Release 2013-07-29
Pages 470
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This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.



Introduction to Continuum Mechanics

Introduction to Continuum Mechanics Author Sudhakar Nair
ISBN-10 9780521875622
Release 2009-03-16
Pages 237
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This textbook treats solids and fluids in a balanced manner, using thermodynamic restrictions on the relation between applied forces and material responses. This unified approach can be appreciated by engineers, physicists, and applied mathematicians with some background in engineering mechanics. It has many examples and about 150 exercises for students to practice. The higher mathematics needed for a complete understanding is provided in the early chapters. This subject is essential for engineers involved in experimental or numerical modeling of material behavior.



An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics Author Morton E. Gurtin
ISBN-10 0080918492
Release 1982-01-12
Pages 265
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This book presents an introduction to the classical theories of continuum mechanics; in particular, to the theories of ideal, compressible, and viscous fluids, and to the linear and nonlinear theories of elasticity. These theories are important, not only because they are applicable to a majority of the problems in continuum mechanics arising in practice, but because they form a solid base upon which one can readily construct more complex theories of material behavior. Further, although attention is limited to the classical theories, the treatment is modern with a major emphasis on foundations and structure



A One dimensional Introduction to Continuum Mechanics

A One dimensional Introduction to Continuum Mechanics Author Anthony John Roberts
ISBN-10 981021913X
Release 1994
Pages 162
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Many textbooks on continuum mechanics plunge students in at the ?deep end? of three-dimensional analysis and applications. However a striking number of commonplace models of our physical environment are based entirely within the dynamics of a one-dimensional continuum. This introductory text therefore approaches the subject entirely within such a one-dimensional framework.The principles of the mathematical modeling of one-dimensional media constitute the book's backbone. These concepts are elucidated with a diverse selection of applications, ranging from tidal dynamics and dispersion in channels to beam bending, algal blooms, blood flow, and the greenhouse effect.The book is ideally suited to elementary undergraduate courses as it makes no use of multivariable calculus. A number of graded problems are included at the end of each section.



Introduction to Continuum Mechanics for Engineers

Introduction to Continuum Mechanics for Engineers Author Ray M. Bowen
ISBN-10 0486474607
Release 2009
Pages 300
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This self-contained graduate-level text introduces classical continuum models within a modern framework. Its numerous exercises illustrate the governing principles, linearizations, and other approximations that constitute classical continuum models. Starting with an overview of one-dimensional continuum mechanics, the text advances to examinations of the kinematics of motion, the governing equations of balance, and the entropy inequality for a continuum. The main portion of the book involves models of material behavior and presents complete formulations of various general continuum models. The final chapter contains an introductory discussion of materials with internal state variables. Two substantial appendixes cover all of the mathematical background necessary to understand the text as well as results of representation theorems. Suitable for independent study, this volume features 280 exercises and 170 references.



Continuum Mechanics

Continuum Mechanics Author A. J. M. Spencer
ISBN-10 9780486139470
Release 2012-06-08
Pages 192
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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.



Elasticity with Mathematica

Elasticity with Mathematica   Author Andrei Constantinescu
ISBN-10 9781139465625
Release 2007-10-08
Pages
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This book, first published in 2007, introduces key ideas and principles in the theory of elasticity with the help of symbolic computation. Differential and integral operators on vector and tensor fields of displacements, strains and stresses are considered on a consistent and rigorous basis with respect to curvilinear orthogonal coordinate systems. As a consequence, vector and tensor objects can be manipulated readily, and fundamental concepts can be illustrated and problems solved with ease. The method is illustrated using a variety of plane and three-dimensional elastic problems. General theorems, fundamental solutions, displacements and stress potentials are presented and discussed. The Rayleigh-Ritz method for obtaining approximate solutions is introduced for elastostatic and spectral analysis problems. Containing more than 60 exercises and solutions in the form of Mathematica notebooks that accompany every chapter, the reader can learn and master the techniques while applying them to a large range of practical and fundamental problems.



Introduction to Continuum Mechanics

Introduction to Continuum Mechanics Author I-Shih Liu
ISBN-10 UCAL:B3680370
Release 1988
Pages 167
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Introduction to Continuum Mechanics has been writing in one form or another for most of life. You can find so many inspiration from Introduction to Continuum Mechanics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Introduction to Continuum Mechanics book for free.



Elements of Continuum Mechanics

Elements of Continuum Mechanics Author R. C. Batra
ISBN-10 1600860486
Release 2006
Pages 325
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Elements of Continuum Mechanics has been writing in one form or another for most of life. You can find so many inspiration from Elements of Continuum Mechanics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Elements of Continuum Mechanics book for free.



Introduction to Relativistic Continuum Mechanics

Introduction to Relativistic Continuum Mechanics Author Giorgio Ferrarese
ISBN-10 9783540731689
Release 2007-09-30
Pages 340
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This mathematically-oriented introduction takes the point of view that students should become familiar, at an early stage, with the physics of relativistic continua and thermodynamics within the framework of special relativity. Therefore, in addition to standard textbook topics such as relativistic kinematics and vacuum electrodynamics, the reader will be thoroughly introduced to relativistic continuum and fluid mechanics. There is emphasis on the 3+1 splitting technique.



An Introduction to Continuum Mechanics after Truesdell and Noll

An Introduction to Continuum Mechanics   after Truesdell and Noll Author D.R Smith
ISBN-10 9789401707138
Release 2013-03-09
Pages 352
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Advanced Structural Mechanics

Advanced Structural Mechanics Author David Johnson
ISBN-10 0727728601
Release 2000-01-01
Pages 304
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In recent years an increasing emphasis has been placed on numerically based methods of structural analysis. This has been reflected in the production of structural mechanics texts that are orientated towards particular numerical methodologies, especially the finite element method. Whilst this approach serves the needs of potential 'research' engineers, a concentration on the numerical analysis aspects of structural mechanics is of less relevance to 'professional' engineers, who are likely to be concerned with the use and interpretation of numerical analyses, but not in the development of the methodologies. It is to this group that Advanced Structural Mechanics is especially addressed, offering a broad introduction to the principal themes of continuum mechanics and structural dynamics. This new edition of the popular book includes a greater focus on worked examples, problems and solutions to engage the reader.



Nonlinear continuum mechanics

Nonlinear continuum mechanics Author Donald Charles Leigh
ISBN-10 UOM:39015006412087
Release 1968
Pages 240
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Nonlinear continuum mechanics has been writing in one form or another for most of life. You can find so many inspiration from Nonlinear continuum mechanics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Nonlinear continuum mechanics book for free.



Continuum Mechanics

Continuum Mechanics Author Fridtjov Irgens
ISBN-10 3540742980
Release 2008-01-10
Pages 661
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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 Mechanics

Continuum Mechanics Author P. Chadwick
ISBN-10 9780486139142
Release 2012-08-08
Pages 200
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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 Modeling of Material Behavior

Continuum Mechanics Modeling of Material Behavior Author Martin H. Sadd
ISBN-10 9780128116494
Release 2018-03-31
Pages 432
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Continuum Mechanics Modeling of Material Behavior offers a uniquely comprehensive introduction to topics like RVE theory, fabric tensor models, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Contemporary continuum mechanics research has been moving into areas of complex material microstructural behavior. Graduate students who are expected to do this type of research need a fundamental background beyond classical continuum theories. The book begins with several chapters that carefully and rigorously present mathematical preliminaries; kinematics of motion and deformation; force and stress measures; and mass, momentum and energy balance principles. The book then moves beyond other books by dedicating the last chapter to constitutive equation development, exploring a wide collection of constitutive relations and developing the corresponding material model formulations. Such material behavior models include classical linear theories of elasticity, fluid mechanics, viscoelasticity and plasticity, as well as linear and nonlinear theories of solids and fluids, including finite elasticity, nonlinear/non-Newtonian viscous fluids, and nonlinear viscoelastic materials. Finally, several relatively new continuum theories based on incorporation of material microstructure are presented including: fabric tensor theories, micropolar elasticity, elasticity with voids, nonlocal higher gradient elasticity and damage mechanics. Offers a thorough, concise and organized presentation of continuum mechanics formulation Covers numerous applications in areas of contemporary continuum mechanics modeling, including micromechanical and multi-scale problems Integration and use of MATLAB software gives students more tools to solve, evaluate and plot problems under study Features extensive use of exercises, providing more material for student engagement and instructor presentation