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Author : Morton E. Gurtin
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (476 download)
Download or read book Topics in Finite Elasticity written by Morton E. Gurtin and published by . This book was released on 1981 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michael Hayes
Publisher : Springer
ISBN 13 : 3709125820
Total Pages : 249 pages
Book Rating : 4.7/5 (91 download)
Download or read book Topics in Finite Elasticity written by Michael Hayes and published by Springer. This book was released on 2014-05-04 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Ronald S. Rivlin
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (227 download)
Download or read book Some Topics in Finite Elasticity written by Ronald S. Rivlin and published by . This book was released on 1958* with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David J. Steigmann
Publisher : Oxford University Press
ISBN 13 : 0192528076
Total Pages : 175 pages
Book Rating : 4.1/5 (925 download)
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.
Author : Abdol Hossein Jafari
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (129 download)
Download or read book Some Topics in Finite Elasticity written by Abdol Hossein Jafari and published by . This book was released on 1983 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Morton E. Gurtin
Publisher : SIAM
ISBN 13 : 9781611970340
Total Pages : 63 pages
Book Rating : 4.9/5 (73 download)
Download or read book Topics in Finite Elasticity written by Morton E. Gurtin and published by SIAM. This book was released on 1981-01-01 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Morton E. Gurtin
Publisher : SIAM
ISBN 13 : 0898711681
Total Pages : 58 pages
Book Rating : 4.8/5 (987 download)
Download or read book Topics in Finite Elasticity written by Morton E. Gurtin and published by SIAM. This book was released on 1981-09-01 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a derivation of the basic equations of the theory of finite elasticity.
Author : Grigory I. Barenblatt
Publisher : Springer Science & Business Media
ISBN 13 : 1461224160
Total Pages : 2868 pages
Book Rating : 4.4/5 (612 download)
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.
Author : Millard F. Beatty
Publisher :
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.:/5 (544 download)
Download or read book Topics in Finite Elasticity written by Millard F. Beatty and published by . This book was released on 1987* with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Koichi Hashiguchi
Publisher : Elsevier
ISBN 13 : 0128194294
Total Pages : 420 pages
Book Rating : 4.1/5 (281 download)
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 420 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
Author : Aleksey Drozdov
Publisher : World Scientific
ISBN 13 : 9814499757
Total Pages : 456 pages
Book Rating : 4.8/5 (144 download)
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.
Author : R. J. Atkin
Publisher : Courier Corporation
ISBN 13 : 0486150992
Total Pages : 272 pages
Book Rating : 4.4/5 (861 download)
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.
Author : N. Kikuchi
Publisher : SIAM
ISBN 13 : 9781611970845
Total Pages : 508 pages
Book Rating : 4.9/5 (78 download)
Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : R. S. Rivlin
Publisher :
ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (227 download)
Download or read book Some Research Directions in Finite Elasticity Theory written by R. S. Rivlin and published by . This book was released on 1977 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Author : Peter Frederick Sielman
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (24 download)
Download or read book Some Problems in Finite Elasticity written by Peter Frederick Sielman and published by . This book was released on 1959 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sheikh Amanullah Usami
Publisher :
ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.:/5 (331 download)
Download or read book Some Stability Problems in Finite Elasticity written by Sheikh Amanullah Usami and published by . This book was released on 1973 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert William Soutas-Little
Publisher : Courier Corporation
ISBN 13 : 0486150070
Total Pages : 468 pages
Book Rating : 4.4/5 (861 download)
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.
