A First Course In Continuum Mechanics

Author : Oscar Gonzalez,Andrew M. Stuart
Publisher : Cambridge University Press
Page : 5 pages
File Size : 47,9 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.

Author : Yuan-cheng Fung
Publisher : Prentice Hall
Page : 356 pages
File Size : 41,6 Mb
Release : 1977
Category : Continuum mechanics
ISBN : UCSD:31822016445496

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A First Course in Continuum Mechanics by Yuan-cheng Fung Pdf

Author : Anonim
Publisher : Academic Press
Page : 388 pages
File Size : 53,6 Mb
Release : 1992-02-03
Category : Mathematics
ISBN : 0080873871

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A First Course in Rational Continuum Mechanics by Anonim Pdf

A First Course in Rational Continuum Mechanics V1

Author : J. N. Reddy
Publisher : Cambridge University Press
Page : 479 pages
File Size : 46,9 Mb
Release : 2013-07-29
Category : Mathematics
ISBN : 9781107025431

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An Introduction to Continuum Mechanics by J. N. Reddy Pdf

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

Author : Oscar Gonzalez
Publisher : Unknown
Page : 394 pages
File Size : 43,7 Mb
Release : 2008
Category : Continuum mechanics
ISBN : 1107186919

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A First Course in Continuum Mechanics by Oscar Gonzalez Pdf

"A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for self-study, each chapter contains a wealth of exercises, with fully worked solutions to odd-numbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed"--Provided by publisher

Author : John W. Rudnicki
Publisher : John Wiley & Sons
Page : 224 pages
File Size : 42,5 Mb
Release : 2014-09-22
Category : Science
ISBN : 9781118927670

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Fundamentals of Continuum Mechanics by John W. Rudnicki Pdf

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

Author : C. Truesdell
Publisher : Elsevier
Page : 304 pages
File Size : 47,7 Mb
Release : 2016-06-03
Category : Technology & Engineering
ISBN : 9781483220482

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A First Course in Rational Continuum Mechanics by C. Truesdell Pdf

A First Course in Rational Continuum Mechanics, Volume 1: General Concepts describes general concepts in rational continuum mechanics and covers topics ranging from bodies and forces to motions and energies, kinematics, and the stress tensor. Constitutive relations are also discussed, and some definitions and theorems of algebra, geometry, and calculus are included. Exercises and their solutions are given as well. Comprised of four chapters, this volume begins with an introduction to rational mechanics by focusing on the mathematical concepts of bodies, forces, motions, and energies. Systems that provide possible universes for mechanics are described. The next chapter explores kinematics, with emphasis on bodies, placements, and motions as well as other relevant concepts like local deformation and homogeneous transplacement. The book also considers the stress tensor and Cauchy's fundamental theorem before concluding with a discussion on constitutive relations. This monograph is designed for students taking a course in mathematics or physics.

Author : G. Thomas Mase,Ronald E. Smelser,Jenn Stroud Rossmann
Publisher : CRC Press
Page : 434 pages
File Size : 52,7 Mb
Release : 2020-05-01
Category : Science
ISBN : 9781482238693

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Continuum Mechanics for Engineers by G. Thomas Mase,Ronald E. Smelser,Jenn Stroud Rossmann Pdf

A bestselling textbook in its first three editions, Continuum Mechanics for Engineers, Fourth Edition provides engineering students with a complete, concise, and accessible introduction to advanced engineering mechanics. It provides information that is useful in emerging engineering areas, such as micro-mechanics and biomechanics. Through a mastery of this volume’s contents and additional rigorous finite element training, readers will develop the mechanics foundation necessary to skillfully use modern, advanced design tools. Features: Provides a basic, understandable approach to the concepts, mathematics, and engineering applications of continuum mechanics Updated throughout, and adds a new chapter on plasticity Features an expanded coverage of fluids Includes numerous all new end-of-chapter problems With an abundance of worked examples and chapter problems, it carefully explains necessary mathematics and presents numerous illustrations, giving students and practicing professionals an excellent self-study guide to enhance their skills.

Author : Yuriy I. Dimitrienko
Publisher : Springer Science & Business Media
Page : 742 pages
File Size : 42,5 Mb
Release : 2010-12-25
Category : Science
ISBN : 9789400700345

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Nonlinear Continuum Mechanics and Large Inelastic Deformations by Yuriy I. Dimitrienko Pdf

The book provides a rigorous axiomatic approach to continuum mechanics under large deformation. In addition to the classical nonlinear continuum mechanics – kinematics, fundamental laws, the theory of functions having jump discontinuities across singular surfaces, etc. - the book presents the theory of co-rotational derivatives, dynamic deformation compatibility equations, and the principles of material indifference and symmetry, all in systematized form. The focus of the book is a new approach to the formulation of the constitutive equations for elastic and inelastic continua under large deformation. This new approach is based on using energetic and quasi-energetic couples of stress and deformation tensors. This approach leads to a unified treatment of large, anisotropic elastic, viscoelastic, and plastic deformations. The author analyses classical problems, including some involving nonlinear wave propagation, using different models for continua under large deformation, and shows how different models lead to different results. The analysis is accompanied by experimental data and detailed numerical results for rubber, the ground, alloys, etc. The book will be an invaluable text for graduate students and researchers in solid mechanics, mechanical engineering, applied mathematics, physics and crystallography, as also for scientists developing advanced materials.

Author : Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott
Publisher : Cambridge University Press
Page : 373 pages
File Size : 40,6 Mb
Release : 2012
Category : Science
ISBN : 9781107008267

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Continuum Mechanics and Thermodynamics by Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott Pdf

Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.

Author : Yuan-cheng Fung
Publisher : Pearson
Page : 344 pages
File Size : 53,5 Mb
Release : 1994
Category : Science
ISBN : UOM:39015041099089

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A First Course in Continuum Mechanics by Yuan-cheng Fung Pdf

Revision of a classic text by a distinguished author. Emphasis is on problem formulation and derivation of governing equations. New edition features increased emphasis on applications. New chapter covers long-term changes in materials under stress.

Author : P. Chadwick
Publisher : Courier Corporation
Page : 191 pages
File Size : 44,8 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

Author : Clifford Truesdell
Publisher : Unknown
Page : 280 pages
File Size : 46,5 Mb
Release : 1977
Category : Continuum mechanics
ISBN : 0127013016

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A First Course in Rational Continuum Mechanics by Clifford Truesdell Pdf

Author : Franco M. Capaldi
Publisher : Cambridge University Press
Page : 359 pages
File Size : 47,7 Mb
Release : 2012-06-18
Category : Science
ISBN : 9781139510578

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Continuum Mechanics by Franco M. Capaldi Pdf

This is a modern textbook for courses in continuum mechanics. It provides both the theoretical framework and the numerical methods required to model the behaviour of continuous materials. This self-contained textbook is tailored for advanced undergraduate or first-year graduate students with numerous step-by-step derivations and worked-out examples. The author presents both the general continuum theory and the mathematics needed to apply it in practice. The derivation of constitutive models for ideal gases, fluids, solids and biological materials, and the numerical methods required to solve the resulting differential equations, are also detailed. Specifically, the text presents the theory and numerical implementation for the finite difference and the finite element methods in the Matlab® programming language. It includes thirteen detailed Matlab® programs illustrating how constitutive models are used in practice.

Author : Oscar Gonzalez
Publisher : Unknown
Page : 394 pages
File Size : 47,7 Mb
Release : 2008
Category : Continuum mechanics
ISBN : 0511574398

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A First Course in Continuum Mechanics by Oscar Gonzalez Pdf

"A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for self-study, each chapter contains a wealth of exercises, with fully worked solutions to odd-numbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed"--Provided by publisher