Topics In Finite Elasticity
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Topics In Finite Elasticity
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Author : Morton E. Gurtin
language : en
Publisher:
Release Date : 1981
Topics In Finite Elasticity written by Morton E. Gurtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with categories.
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.
Collected Papers Of R S Rivlin
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Author : Ronald S. Rivlin
language : en
Publisher: Springer Science & Business Media
Release Date : 1997
Collected Papers Of R S Rivlin written by Ronald S. Rivlin 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 1997 with Mathematics categories.
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.
Contact Problems In Elasticity
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Author : N. Kikuchi
language : en
Publisher: SIAM
Release Date : 1988-01-01
Contact Problems In Elasticity written by N. Kikuchi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Science categories.
The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Collected Papers Of R S Rivlin
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Author : Grigory I. Barenblatt
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-14
Collected Papers Of R S Rivlin written by Grigory I. Barenblatt 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 2013-12-14 with Technology & Engineering categories.
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.
Some Topics In Finite Elasticity
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Author : Ronald S. Rivlin
language : en
Publisher:
Release Date : 1958*
Some Topics In Finite Elasticity written by Ronald S. Rivlin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958* with Elasticity categories.
Elasticity And Plasticity Of Large Deformations
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Author : Albrecht Bertram
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-03
Elasticity And Plasticity Of Large Deformations written by Albrecht Bertram 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 2008-08-03 with Science categories.
This careful and detailed introduction to non-linear continuum mechanics and to elasticity and platicity, with a unique mathematical foundation, starts right from the basics. The general theory of mechanical behaviour is particularized for the broad and important classes of elasticity and plasticity. Brings the reader to the forefront of today's knowledge. A list of notations and an index help the reader finding specific topics.
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.
A Primer For Finite Elements In Elastic Structures
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Author : W. F. Carroll
language : en
Publisher: John Wiley & Sons
Release Date : 1998-11-05
A Primer For Finite Elements In Elastic Structures written by W. F. Carroll and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-05 with Technology & Engineering categories.
A thorough guide to the fundamentals--and how to use them--of finite element analysis for elastic structures For elastic structures, the finite element method is an invaluable tool which is used most effectively only when one understands completely each of its facets. A Primer for Finite Elements in Elastic Structures disassembles the entire finite element method for civil engineering students and professionals, detailing its supportive theory and its mathematical and structural underpinnings, in the context of elastic structures and the principle of virtual work. The book opens with a discussion of matrix algebra and algebraic equation systems to foster the basic skills required to successfully understand and use the finite element method. Key mathematical concepts outlined here are joined to pertinent concepts from mechanics and structural theory, with the method constructed in terms of one-dimensional truss and framework finite elements. The use of these one-dimensional elements in the early chapters promotes better understanding of the fundamentals. Subsequent chapters describe many two-dimensional structural finite elements in depth, including the geometry, mechanics, transformations, and mapping needed for them. Most chapters end with questions and problems which review the text material. Answers for many of these are at the end of the book. An appendix describes how to use MATLAB(r), a popular matrix-manipulation software platform necessary to perform the many matrix operations required for the finite element method, such as matrix addition, multiplication, inversion, partitioning, rearrangement, and assembly. As an added extra, the m-files discussed can be downloaded from the Wiley FTP server.
Nonlinear Continuum Mechanics For Finite Elasticity Plasticity
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Author : Koichi Hashiguchi
language : en
Publisher: Elsevier
Release Date : 2020-06-19
Nonlinear Continuum Mechanics For Finite Elasticity Plasticity written by Koichi Hashiguchi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-19 with Technology & Engineering categories.
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 Basics2. General (Curvilinear) Coordinate System3. Description of Deformation/Rotation in Convected Coordinate System4. Deformation/Rotation (Rate) Tensors5. Conservation Laws and Stress Tensors6. Hyperelastic Equations7. Development of Elastoplastic Constitutive Equations8. Multiplicative Decomposition of Deformation Gradient Tensor9. Multiplicative Hyperelastic-based Plastic and Viscoplastic Constitutive Equations10. Friction Model: Finite Sliding Theory