The Elements Of Continuum Mechanics

Author : C. Truesdell
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642649769

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The Elements of Continuum Mechanics by C. Truesdell Pdf

The lectures here reported were first delivered in August and September, 1965, for the Department of Mechanical and Aerospace Engi neering at syracuse University, New York under the sponsorship of the New York State Science and Technology Foundation. Lectures 1-6 and 22-23 are revised from a version prepared by Professor Kin N. Tong on the basis of a transcription of the lectures, kindly provided by Professor S. Eskinazi. The remainder of th~ text has been written out afresh from my own notes. Much of the same ground was covered in my lectures to the Austra lian Mathematical Society's Summer Research Institute at Melbourne in January and February, 1966, and for the parts affected the text conforms to this latter presentation. I am grateful to Professors C.-C. Wang and K. N. Tong for criticism of the manuscript. These lectures constitute a course, not a treatise. Names are attached to theorems justly, to the best of my knowledge, but are not intended to replace a history of the subject or references to the sources.

Author : S.K. Godunov,Evgenii Romenskii
Publisher : Springer Science & Business Media
Page : 270 pages
File Size : 47,6 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.

Author : Joanne L. Wegner,James B. Haddow
Publisher : Cambridge University Press
Page : 279 pages
File Size : 46,7 Mb
Release : 2009-04-13
Category : Science
ISBN : 9781139478380

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Elements of Continuum Mechanics and Thermodynamics by Joanne L. Wegner,James B. Haddow Pdf

This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.

Author : R. C. Batra
Publisher : AIAA
Page : 360 pages
File Size : 45,8 Mb
Release : 2006
Category : Continuum mechanics
ISBN : 1600860486

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Elements of Continuum Mechanics by R. C. Batra Pdf

Author : Marcelo Epstein
Publisher : John Wiley & Sons
Page : 387 pages
File Size : 43,5 Mb
Release : 2012-08-13
Category : Science
ISBN : 9781119999232

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The Elements of Continuum Biomechanics by Marcelo Epstein Pdf

An appealing and engaging introduction to Continuum Mechanics in Biosciences This book presents the elements of Continuum Mechanics to people interested in applications to biological systems. It is divided into two parts, the first of which introduces the basic concepts within a strictly one-dimensional spatial context. This policy has been adopted so as to allow the newcomer to Continuum Mechanics to appreciate how the theory can be applied to important issues in Biomechanics from the very beginning. These include mechanical and thermodynamical balance, materials with fading memory and chemically reacting mixtures. In the second part of the book, the fully fledged three-dimensional theory is presented and applied to hyperelasticity of soft tissue, and to theories of remodeling, aging and growth. The book closes with a chapter devoted to Finite Element analysis. These and other topics are illustrated with case studies motivated by biomedical applications, such as vibration of air in the air canal, hyperthermia treatment of tumours, striated muscle memory, biphasic model of cartilage and adaptive elasticity of bone. The book offers a challenging and appealing introduction to Continuum Mechanics for students and researchers of biomechanics, and other engineering and scientific disciplines. Key features: Explains continuum mechanics using examples from biomechanics for a uniquely accessible introduction to the topic Moves from foundation topics, such as kinematics and balance laws, to more advanced areas such as theories of growth and the finite element method.. Transition from a one-dimensional approach to the general theory gives the book broad coverage, providing a clear introduction for beginners new to the topic, as well as an excellent foundation for those considering moving to more advanced application

Author : Javier Bonet,Richard D. Wood
Publisher : Cambridge University Press
Page : 272 pages
File Size : 45,6 Mb
Release : 1997-09-28
Category : Mathematics
ISBN : 052157272X

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Nonlinear Continuum Mechanics for Finite Element Analysis by Javier Bonet,Richard D. Wood Pdf

A unified treatment of nonlinear continuum analysis and finite element techniques.

Author : Ciprian D. Coman
Publisher : Springer Nature
Page : 519 pages
File Size : 51,7 Mb
Release : 2019-11-02
Category : Technology & Engineering
ISBN : 9789402417715

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Continuum Mechanics and Linear Elasticity by Ciprian D. Coman Pdf

This is an intermediate book for beginning postgraduate students and junior researchers, and offers up-to-date content on both continuum mechanics and elasticity. The material is self-contained and should provide readers sufficient working knowledge in both areas. Though the focus is primarily on vector and tensor calculus (the so-called coordinate-free approach), the more traditional index notation is used whenever it is deemed more sensible. With the increasing demand for continuum modeling in such diverse areas as mathematical biology and geology, it is imperative to have various approaches to continuum mechanics and elasticity. This book presents these subjects from an applied mathematics perspective. In particular, it extensively uses linear algebra and vector calculus to develop the fundamentals of both subjects in a way that requires minimal use of coordinates (so that beginning graduate students and junior researchers come to appreciate the power of the tensor notation).

Author : Clifford Truesdell
Publisher : Springer
Page : 292 pages
File Size : 41,5 Mb
Release : 1985
Category : Science
ISBN : STANFORD:36105030599430

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The Elements of Continuum Mechanics by Clifford Truesdell Pdf

Author : Fridtjov Irgens
Publisher : Springer Science & Business Media
Page : 667 pages
File Size : 40,7 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.

Author : Clifford Ambrose Truesdell
Publisher : Unknown
Page : 128 pages
File Size : 53,9 Mb
Release : 1985
Category : Electronic
ISBN : OCLC:878102851

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The Elements of Continuum Mechanics by Clifford Ambrose Truesdell Pdf

Author : John W. Rudnicki
Publisher : John Wiley & Sons
Page : 229 pages
File Size : 40,6 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 : D. S. Chandrasekharaiah,Lokenath Debnath
Publisher : Elsevier
Page : 610 pages
File Size : 50,7 Mb
Release : 2014-05-19
Category : Mathematics
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. 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

Author : Clifford Ambrose Truesdell
Publisher : Unknown
Page : 436 pages
File Size : 42,9 Mb
Release : 1965
Category : Continuum mechanics
ISBN : OCLC:312787861

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Continuum Mechanics by Clifford Ambrose Truesdell Pdf

Author : Ellad B. Tadmor,Ronald E. Miller,Ryan S. Elliott
Publisher : Cambridge University Press
Page : 373 pages
File Size : 40,7 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 : Javier Bonet,Antonio J. Gil,Richard D. Wood
Publisher : Cambridge University Press
Page : 137 pages
File Size : 52,6 Mb
Release : 2012-08-02
Category : Science
ISBN : 9781139561303

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Worked Examples in Nonlinear Continuum Mechanics for Finite Element Analysis by Javier Bonet,Antonio J. Gil,Richard D. Wood Pdf

Many processes in materials science and engineering, such as the load deformation behaviour of certain structures, exhibit nonlinear characteristics. The computer simulation of such processes therefore requires a deep understanding of both the theoretical aspects of nonlinearity and the associated computational techniques. This book provides a complete set of exercises and solutions in the field of theoretical and computational nonlinear continuum mechanics and is the perfect companion to Nonlinear Continuum Mechanics for Finite Element Analysis, where the authors set out the theoretical foundations of the subject. It employs notation consistent with the theory book and serves as a great resource to students, researchers and those in industry interested in gaining confidence by practising through examples. Instructors of the subject will also find the book indispensable in aiding student learning.