Introduction to Continuum Mechanics

Introduction to Continuum Mechanics
Author: W Michael Lai,Erhard Krempl,David Rubin
Publsiher: Elsevier
Total Pages: 570
Release: 2014-06-28
Genre: Technology & Engineering
ISBN: 9780080509136

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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.

An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics
Author: Junuthula Narasimha Reddy,J. N. Reddy
Publsiher: Cambridge University Press
Total Pages: 479
Release: 2013-07-29
Genre: Mathematics
ISBN: 9781107025431

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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 for Engineers

Introduction to Continuum Mechanics for Engineers
Author: Ray M. Bowen
Publsiher: Unknown
Total Pages: 0
Release: 2009
Genre: Continuum mechanics
ISBN: 0486474607

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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.

An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics
Author: J. N. Reddy
Publsiher: Cambridge University Press
Total Pages: 11
Release: 2007-10-29
Genre: Technology & Engineering
ISBN: 9781139466400

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This textbook on continuum mechanics reflects the modern view that scientists and engineers should be trained to think and work in multidisciplinary environments. A course on continuum mechanics introduces the basic principles of mechanics and prepares students for advanced courses in traditional and emerging fields such as biomechanics and nanomechanics. This text introduces the main concepts of continuum mechanics simply with rich supporting examples but does not compromise mathematically in providing the invariant form as well as component form of the basic equations and their applications to problems in elasticity, fluid mechanics, and heat transfer. The book is ideal for advanced undergraduate and beginning graduate students. The book features: derivations of the basic equations of mechanics in invariant (vector and tensor) form and specializations of the governing equations to various coordinate systems; numerous illustrative examples; chapter-end summaries; and exercise problems to test and extend the understanding of concepts presented.

An Introduction to Continuum Mechanics

An Introduction to Continuum Mechanics
Author: Morton E. Gurtin
Publsiher: Academic Press
Total Pages: 265
Release: 1982-01-12
Genre: Science
ISBN: 9780080918495

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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

Introduction to Continuum Mechanics

Introduction to Continuum Mechanics
Author: Sudhakar Nair
Publsiher: Cambridge University Press
Total Pages: 253
Release: 2009-03-16
Genre: Mathematics
ISBN: 9780521875622

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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.

A First Course in Continuum Mechanics

A First Course in Continuum Mechanics
Author: Oscar Gonzalez,Andrew M. Stuart
Publsiher: Cambridge University Press
Total Pages: 386
Release: 2008-01-17
Genre: Science
ISBN: 9780521886802

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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.

Continuum Mechanics

Continuum Mechanics
Author: P. Chadwick
Publsiher: Courier Corporation
Total Pages: 191
Release: 2012-08-08
Genre: Science
ISBN: 9780486139142

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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