Some Topics In Finite Elasticity
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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.
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.
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.
Fritz John Collected Papers
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Author : J. Moser
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-01-01
Fritz John Collected Papers written by J. Moser 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 1985-01-01 with Science categories.
Nonlinear Elasticity
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Author : Y. B. Fu
language : en
Publisher: Cambridge University Press
Release Date : 2001-05-07
Nonlinear Elasticity written by Y. B. Fu 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 2001-05-07 with Mathematics categories.
Nonlinear elasticity is concerned with nonlinear effects associated with deformations of elastic bodies subjected to external forces or temperature variations. It has important applications in many areas, including the aerospace and rubber industries, and biomechanics. This book, written by a group of leading researchers invited especially for the purpose, provides an up-to-date and concise account of the fundamentals of the theory of nonlinear elasticity and a comprehensive review of several major current research directions in this important field. It combines the characteristics of coherence and detail found in standard treatises with the strength and freshness of research articles. The emphasis is placed firmly on coverage of modern topics and recent developments rather than on the very theoretical approach often found. The book will be an excellent reference source for both beginners and specialists in engineering, applied mathematics and physics. It is also ideally suited for graduate courses.
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
Mechanics And Thermomechanics Of Rubberlike Solids
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Author : Guiseppe Saccomandi
language : en
Publisher: Springer
Release Date : 2014-05-04
Mechanics And Thermomechanics Of Rubberlike Solids written by Guiseppe Saccomandi 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.
This work gives for the first time an interdisciplinary and deep approach to the mathematical modelling of rubber-like materials considering both the molecular and phenomenological point of views. It contains an introduction to the suitable numerical techniques and an overview of experimental techniques and data with a short survey on some industrial applications. Elastic and inelastic effects are discussed in details. The book is suitable for applied mathematicians, mechanical engineers, civil engineers, material scientists and polymer scientists.
Constitutive Models For Rubber Viii
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Author : Nere Gil-Negrete
language : en
Publisher: CRC Press
Release Date : 2013-06-03
Constitutive Models For Rubber Viii written by Nere Gil-Negrete and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-03 with Technology & Engineering categories.
Due to their unique properties, rubber materials are found in multiple engineering applications such as tires, engine mounts, shock absorbers, flexible joints, seals, etc. Nevertheless, the complex nature of the behavior of such material makes it difficult to accurately model and predict the performance of these units. The challenge to correctly reproduce the observed characteristics of rubber elements necessitates detailed experimental investigations, development of accurate constitutive models, validation of techniques to identify material parameters and efficient numerical methods. Aspects regarding fatigue and damage in elastomers are not to be left aside, as they influence the durability of the products. State-of-the-art technology in terms of constitutive modeling, numerical implementation, damage and fatigue resistance are strongly represented in these Proceedings, along with insights into advanced elastomers to be used in novel applications. Topics included in this volume are: Ageing, Friction and abrasion, Adhesion, Swelling, Continuum mechanical models and numerical implementation, Hyperelasticity, Micro-mechanical approaches, Fracture and fatigue, Mullins effect, Strain induced crystallization, Thermal effects, Reinforcement and vulcanization, Design and applications, Smart elastomers. Constitutive Models for Rubber VIII is of interest not only for undergraduates, postgraduates, academics and researchers in the discipline, but also for all those design and development engineers in the industry.