Finite Elasticity Theory
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Finite Elasticity Theory
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Author : David J. Steigmann
language : en
Publisher: Oxford University Press
Release Date : 2017-08-25
Finite Elasticity Theory written by David J. Steigmann and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-25 with Mathematics categories.
Containing case studies and examples, the book aims to cover extensive research particularly on surface stress and topics related to the variational approach to the subject, and non-standard topics such as the rigorous treatment of constraints and a full discussion of algebraic inequalities associated with realistic material behaviour, and their implications. Serving as an introduction to the basic elements of Finite Elasticity, this textbook is the cornerstone for any graduate-level on the topic, while also providing a template for a host of theories in Solid Mechanics.
Mathematical Theory Of Elastic Structures
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Author : Kang Feng
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Mathematical Theory Of Elastic Structures written by Kang Feng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
Elasticity theory is a classical discipline. The mathematical theory of elasticity in mechanics, especially the linearized theory, is quite mature, and is one of the foundations of several engineering sciences. In the last twenty years, there has been significant progress in several areas closely related to this classical field, this applies in particular to the following two areas. First, progress has been made in numerical methods, especially the development of the finite element method. The finite element method, which was independently created and developed in different ways by sci entists both in China and in the West, is a kind of systematic and modern numerical method for solving partial differential equations, especially el liptic equations. Experience has shown that the finite element method is efficient enough to solve problems in an extremely wide range of applica tions of elastic mechanics. In particular, the finite element method is very suitable for highly complicated problems. One of the authors (Feng) of this book had the good fortune to participate in the work of creating and establishing the theoretical basis of the finite element method. He thought in the early sixties that the method could be used to solve computational problems of solid mechanics by computers. Later practice justified and still continues to justify this point of view. The authors believe that it is now time to include the finite element method as an important part of the content of a textbook of modern elastic mechanics.
Computational Elasticity
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Author : Mohammed Ameen
language : en
Publisher: Alpha Science International, Limited
Release Date : 2008
Computational Elasticity written by Mohammed Ameen and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Boundary element methods categories.
Divided into two parts, this book deals with the theory of elasticity and computational solution of its problems. Part A describes the mathematical theory and the analytical techniques of problem solving. Part B is devoted to the description of two of the most popular computational methods - the finite element and the boundary element methods.
Proceedings Of The Iutam Symposium On Finite Elasticity
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Author : Donald E. Carlson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Proceedings Of The Iutam Symposium On Finite Elasticity written by Donald E. Carlson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Although finite elasticity theory has its roots in the nineteenth century, its development was largely neglected until the end of the Second World War. Since then it has attracted a substantial amount of attention and considerable progress has been made both in our understanding of the basis of the subject and in its applications. It occurred to me about three years ago that finite elasticity had reached a level of development at which an international symposium on the subject was overdue. Accordingly, with strong encouragement from Professor P. M. Naghdi and numerous other colleagues, I submitted to the International Union of Theoretical and Applied Mechanics a proposal for their support of such a symposium to be held at Lehigh University during the period August 10-15, 1980. The proposal received enthusiastic support from the International Union and an international scientific committee under my chairmanship, consisting of Professors G. Fichera (Rome), W. T. Koiter (Delft), L. I. Sedov (Moscow), and A. J. M. Spencer (Nottingham), was assigned responsibility for the scientific program. In constructing the program we aimed at as broad a coverage as possible of the many aspects of the subject on which significant progress is currently being made. These range from theoretical studies of existence and uniqueness of solutions of the governing equations of finite elasticity theory to experimental studies of its application to such problems as tear resistance and friction in vulcanized rubbers.
Topics In Finite Elasticity
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Author : Michael Hayes
language : en
Publisher: Springer
Release Date : 2014-05-04
Topics In Finite Elasticity written by Michael Hayes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.
More than fifty years ago, Professor R. S. Rivlin pioneered developments in both the theory and experiments of rubber elasticity. These together with his other fundamental studies contributed to a revitalization of the theory of finite elasticity, which had been dormant, since the basic understanding was completed in the nineteenth century. This book with chapters on foundation, models, universal results, wave propagation, qualitative theory and phase transitions, indicates that the subject he reinvigorated has remainded remarkably vibran and has continued to present significant deep mathematical and experimental challenges.
Topics In Finite Elasticity
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Author : Morton E. Gurtin
language : en
Publisher: SIAM
Release Date : 1981-01-01
Topics In Finite Elasticity written by Morton E. Gurtin and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-01-01 with Technology & Engineering categories.
Finite elasticity is a theory of elastic materials that are capable of undergoing large deformations. This theory is inherently nonlinear and is mathematically quite complex. This monograph presents a derivation of the basic equations of the theory, a discussion of the general boundary-value problems, and a treatment of several interesting and important special topics such as simple shear, uniqueness, the tensile deformations of a cube, and antiplane shear. The monograph is intended for engineers, physicists, and mathematicians.
An Introduction To The Theory Of Elasticity
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Author : R. J. Atkin
language : en
Publisher: Courier Corporation
Release Date : 2013-02-20
An Introduction To The Theory Of Elasticity written by R. J. Atkin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-20 with Science categories.
Accessible text covers deformation and stress, derivation of equations of finite elasticity, and formulation of infinitesimal elasticity with application to two- and three-dimensional static problems and elastic waves. 1980 edition.
Some Research Directions In Finite Elasticity Theory
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Author : R. S. Rivlin
language : en
Publisher:
Release Date : 1977
Some Research Directions In Finite Elasticity Theory written by R. S. Rivlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.
A number of topics in finite elasticity theory which appear to lend themselves to further development are briefly discussed. These include (i) the effect of kinematic constraints which are exactly, or approximately, satisfied; (ii) the mechanics of elastic membranes; (iii) the applicability of results in finite elasticity theory to problems involving stress relaxing materials; (iv) the development of necessary and sufficient conditions for materials stability of isotropic elastic materials; (v) the conditions for bifurcation solutions to exist in deformed elastic bodies. (Author).
Finite Elements
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Author : Dietrich Braess
language : en
Publisher: Cambridge University Press
Release Date : 2007-04-12
Finite Elements written by Dietrich Braess and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-12 with Mathematics categories.
This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework. Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.
Finite Elasticity Papers Presented At A Symposium On Finite Elasticity Theory Applied Mechanics Division American Society Of Mechanical Engineers
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Author :
language : en
Publisher:
Release Date :
Finite Elasticity Papers Presented At A Symposium On Finite Elasticity Theory Applied Mechanics Division American Society Of Mechanical Engineers written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.