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Finite Elasticity Theory
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Book Synopsis Finite Elasticity Theory by : David J. Steigmann
Download or read book Finite Elasticity Theory written by David J. Steigmann and published by Oxford University Press. This book was released on 2017-08-25 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis An Introduction to the Theory of Elasticity by : R. J. Atkin
Download or read book An Introduction to the Theory of Elasticity written by R. J. Atkin and published by Courier Corporation. This book was released on 2013-02-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity by : Koichi Hashiguchi
Download or read book Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity written by Koichi Hashiguchi and published by Elsevier. This book was released on 2020-06-19 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear Continuum Mechanics for Finite Elasticity-Plasticity empowers readers to fully understand the constitutive equation of finite strain, an essential piece in assessing the deformation/strength of materials and safety of structures. The book starts by providing a foundational overview of continuum mechanics, elasticity and plasticity, then segues into more sophisticated topics such as multiplicative decomposition of deformation gradient tensor with the isoclinic concept and the underlying subloading surface concept. The subloading surface concept insists that the plastic strain rate is not induced suddenly at the moment when the stress reaches the yield surface but it develops continuously as the stress approaches the yield surface, which is crucially important for the precise description of cyclic loading behavior. Then, the exact formulations of the elastoplastic and viscoplastic constitutive equations based on the multiplicative decomposition are expounded in great detail. The book concludes with examples of these concepts and modeling techniques being deployed in real-world applications. Table of Contents: 1. Mathematical Basics 2. General (Curvilinear) Coordinate System 3. Description of Deformation/Rotation in Convected Coordinate System 4. Deformation/Rotation (Rate) Tensors 5. Conservation Laws and Stress Tensors 6. Hyperelastic Equations 7. Development of Elastoplastic Constitutive Equations 8. Multiplicative Decomposition of Deformation Gradient Tensor 9. Multiplicative Hyperelastic-based Plastic and Viscoplastic Constitutive Equations 10. Friction Model: Finite Sliding Theory - Covers both the fundamentals of continuum mechanics and elastoplasticity while also introducing readers to more advanced topics such as the subloading surface model and the multiplicative decomposition among others - Approaches finite elastoplasticity and viscoplasticty theory based on multiplicative decomposition and the subloading surface model - Provides a thorough introduction to the general tensor formulation details for the embedded curvilinear coordinate system and the multiplicative decomposition of the deformation gradient
Download or read book Nonlinear Elasticity written by Y. B. Fu and published by Cambridge University Press. This book was released on 2001-05-07 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to nonlinear elasticity for graduates and researchers, covering new developments in the field.
Book Synopsis Hyperelasticity Primer by : Robert M. Hackett
Download or read book Hyperelasticity Primer written by Robert M. Hackett and published by Springer. This book was released on 2015-09-30 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the subject of hyperelasticity in a concise manner mainly directed to students of solid mechanics who have a familiarity with continuum mechanics. It focuses on important introductory topics in the field of nonlinear material behavior and presents a number of example problems and solutions to greatly aid the student in mastering the difficulty of the subject and gaining necessary insight. Professor Hackett delineates the concepts and applications of hyperelasticity in such a way that a new student of the subject can absorb the intricate details without having to wade through excessively complicated formulations. The book further presents significant review material on intricately related subjects such as tensor calculus and introduces some new formulations.
Book Synopsis Computational Elasticity by : Mohammed Ameen
Download or read book Computational Elasticity written by Mohammed Ameen and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Value Problems of Finite Elasticity by : Tullio Valent
Download or read book Boundary Value Problems of Finite Elasticity written by Tullio Valent and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book I present, in a systematic form, some local theorems on existence, uniqueness, and analytic dependence on the load, which I have recently obtained for some types of boundary value problems of finite elasticity. Actually, these results concern an n-dimensional (n ~ 1) formal generalization of three-dimensional elasticity. Such a generalization, be sides being quite spontaneous, allows us to consider a great many inter esting mathematical situations, and sometimes allows us to clarify certain aspects of the three-dimensional case. Part of the matter presented is unpublished; other arguments have been only partially published and in lesser generality. Note that I concentrate on simultaneous local existence and uniqueness; thus, I do not deal with the more general theory of exis tence. Moreover, I restrict my discussion to compressible elastic bodies and I do not treat unilateral problems. The clever use of the inverse function theorem in finite elasticity made by STOPPELLI [1954, 1957a, 1957b], in order to obtain local existence and uniqueness for the traction problem in hyperelasticity under dead loads, inspired many of the ideas which led to this monograph. Chapter I aims to give a very brief introduction to some general concepts in the mathematical theory of elasticity, in order to show how the boundary value problems studied in the sequel arise. Chapter II is very technical; it supplies the framework for all sub sequent developments.
Author :Grigory I. Barenblatt Publisher :Springer Science & Business Media ISBN 13 :1461224160 Total Pages :2868 pages Book Rating :4.4/5 (612 download)
Book Synopsis Collected Papers of R.S. Rivlin by : Grigory I. Barenblatt
Download or read book Collected Papers of R.S. Rivlin written by Grigory I. Barenblatt and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 2868 pages. Available in PDF, EPUB and Kindle. Book excerpt: R.S. Rivlin is one of the principal architects of nonlinear continuum mechanics: His work on the mechanics of rubber (in the 1940s and 50s) established the basis of finite elasticity theory. These volumes make most of his scientific papers available again and show the full scope and significance of his contributions.
Download or read book Elasticity written by Martin H. Sadd and published by Elsevier. This book was released on 2010-08-04 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are several books in print dealing with elasticity, many focus on specialized topics such as mathematical foundations, anisotropic materials, two-dimensional problems, thermoelasticity, non-linear theory, etc. As such they are not appropriate candidates for a general textbook. This book provides a concise and organized presentation and development of general theory of elasticity. This text is an excellent book teaching guide. - Contains exercises for student engagement as well as the integration and use of MATLAB Software - Provides development of common solution methodologies and a systematic review of analytical solutions useful in applications of
Book Synopsis Theory of Elasticity and Thermal Stresses by : M. Reza Eslami
Download or read book Theory of Elasticity and Thermal Stresses written by M. Reza Eslami and published by Springer Science & Business Media. This book was released on 2013-05-13 with total page 787 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the elements of the theory and the problems of Elasticity and Thermal Stresses with full solutions. The emphasis is placed on problems and solutions and the book consists of four parts: one part is on The Mathematical Theory of Elasticity, two parts are on Thermal Stresses and one part is on Numerical Methods. The book is addressed to higher level undergraduate students, graduate students and engineers and it is an indispensable companion to all who study any of the books published earlier by the authors. This book links the three previously published books by the authors into one comprehensive entity.
Book Synopsis Constitutive Modelling of Solid Continua by : José Merodio
Download or read book Constitutive Modelling of Solid Continua written by José Merodio and published by Springer Nature. This book was released on 2019-11-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.
Book Synopsis Finite Elements by : Dietrich Braess
Download or read book Finite Elements written by Dietrich Braess and published by Cambridge University Press. This book was released on 2007-04-12 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elasticity by : Robert William Soutas-Little
Download or read book Elasticity written by Robert William Soutas-Little and published by Courier Corporation. This book was released on 2012-04-26 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of the methods and theories of linear elasticity, this three-part introductory treatment covers general theory, two-dimensional elasticity, and three-dimensional elasticity. Ideal text for a two-course sequence on elasticity. 1984 edition.
Book Synopsis Finite Elasticity And Viscoelasticity: A Course In The Nonlinear Mechanics Of Solids by : Aleksey Drozdov
Download or read book Finite Elasticity And Viscoelasticity: A Course In The Nonlinear Mechanics Of Solids written by Aleksey Drozdov and published by World Scientific. This book was released on 1996-01-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory. The objective is to expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as to ensure mathematical correctness, on the one hand, and to demonstrate a wide spectrum of physical phenomena typical only of nonlinear mechanics, on the other.A novel aspect of the book is that it contains a number of examples illustrating surprising behaviour in materials with finite strains, as well as comparisons between theoretical predictions and experimental data for rubber-like polymers and elastomers.The book aims to fill a gap between mathematicians specializing in nonlinear continuum mechanics, and physicists and engineers who apply the methods of solid mechanics to a wide range of problems in civil and mechanical engineering, materials science, and polymer physics. The book has been developed from a graduate course in applied mathematics which the author has given for a number of years.
Book Synopsis Mathematical Theory of Elastic Structures by : Kang Feng
Download or read book Mathematical Theory of Elastic Structures written by Kang Feng and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Non-Linear Elastic Deformations by : R. W. Ogden
Download or read book Non-Linear Elastic Deformations written by R. W. Ogden and published by Courier Corporation. This book was released on 2013-04-26 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
Book Synopsis Theory of Elasticity and Stress Concentration by : Yukitaka Murakami
Download or read book Theory of Elasticity and Stress Concentration written by Yukitaka Murakami and published by John Wiley & Sons. This book was released on 2016-09-13 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Elasticity and Stress Concentration Yukitaka Murakami, Kyushu University, Japan A comprehensive guide to elasticity and stress concentration Theory of Elasticity and Stress Concentration comprehensively covers elasticity and stress concentration and demonstrates how to apply the theory to practical engineering problems. The book presents a new approach to the topic without the need for complicated mathematics, and the principles and meaning of stress concentration are covered without reliance on numerical analysis. The book consists of two parts: Part I - Theory of Elasticity and Part II - Stress Concentration. Part I treats the theory of elasticity from the viewpoint of helping the reader to comprehend the essence of it. Part II treats the principle and meaning of stress concentration and guides the reader to a better understanding of it. Throughout the book, many useful and interesting applications of the basic new way of thinking are presented and explained. Key features: Unique approach to the topics. Encourages the readers to acquire the new way of thinking and engineering judgement. Includes examples, problems and solutions. This book provides essential reading for researchers and practitioners in the structural and mechanical engineering industries.
