Download or read book Introduction to Finite Strain Theory for Continuum Elasto Plasticity written by Koichi Hashiguchi and published by John Wiley & Sons. This book was released on 2012-10-09 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive introduction to finite elastoplasticity, addressing various analytical and numerical analyses & including state-of-the-art theories Introduction to Finite Elastoplasticity presents introductory explanations that can be readily understood by readers with only a basic knowledge of elastoplasticity, showing physical backgrounds of concepts in detail and derivation processes of almost all equations. The authors address various analytical and numerical finite strain analyses, including new theories developed in recent years, and explain fundamentals including the push-forward and pull-back operations and the Lie derivatives of tensors. As a foundation to finite strain theory, the authors begin by addressing the advanced mathematical and physical properties of continuum mechanics. They progress to explain a finite elastoplastic constitutive model, discuss numerical issues on stress computation, implement the numerical algorithms for stress computation into large-deformation finite element analysis and illustrate several numerical examples of boundary-value problems. Programs for the stress computation of finite elastoplastic models explained in this book are included in an appendix, and the code can be downloaded from an accompanying website.
Download or read book Variational Principles and Applications in Finite Elastic Strain Theory written by Mark Levinson and published by . This book was released on 1964 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Plasticity of Metals at Finite Strain written by and published by . This book was released on 1982 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
Download or read book A Finite Strain Theory for Elastic plastic Deformation microform written by Hrudey, T. M and published by National Library of Canada. This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Deformation of an Elastic Solid written by Francis Dominic Murnaghan and published by . This book was released on 1967 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
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.
Download or read book A Finite Strain Theory for Elastic plastic Deformation written by T. M. Hrudey and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hyperelasticity Primer written by Robert M. Hackett and published by Springer. This book was released on 2018-03-31 with total page 192 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.
Download or read book Finite Inelastic Deformations Theory and Applications written by Dieter Besdo and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: The IUTAM-Symposium on "Finite Inelastic Deformations - Theory and Applications" took place from August 19 to 23, 1991, at the University of Hannover, Germany, with 75 participants from 14 countries. Scope of the symposium was a fundamental treatment of new developments in plasticity and visco-plasticity at finite strains. This covered the phenomenological material theory based on continuum mechanics as well as the treatment of microstructural phenomena detected by precise experimental datas. In a restricted number, lectures on new experi mental facilities for measuring finite strains were also implemented into the symposium. Another important topic of the symposium was the treatment of reliable and effective computational methods for solving engineering problems with finite inelastic strains. Wi thin this context it was an essential feature that theory, numerical and computational analysis were be seen in an integrated way. In total 9 sessions with 37 lectures, many of them given by well known keynote-lecturers, and a poster session with 10 contributions met fully our expectations of a high ranking up-to-date forum for the interaction of four topics, namely the physical and mathematical modelling of finite strain inelastic deformations including localizations and damage as well as the achievements in the numerical analysis and implementation and the solution of complicated engineering systems. Special and important features were reliable material datas from macroscopic and microscopic tests as well as test results of complex engineering problems, like deep drawing and extrusion.
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
Download or read book Crystal Plasticity Finite Element Methods written by Franz Roters and published by John Wiley & Sons. This book was released on 2011-08-04 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the leading experts in computational materials science, this handy reference concisely reviews the most important aspects of plasticity modeling: constitutive laws, phase transformations, texture methods, continuum approaches and damage mechanisms. As a result, it provides the knowledge needed to avoid failures in critical systems udner mechanical load. With its various application examples to micro- and macrostructure mechanics, this is an invaluable resource for mechanical engineers as well as for researchers wanting to improve on this method and extend its outreach.
Download or read book Size Effects in Plasticity written by George Voyiadjis and published by Academic Press. This book was released on 2019-08-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Size Effects in Plasticity: From Macro to Nano provides concise explanations of all available methods in this area, from atomistic simulation, to non-local continuum models to capture size effects. It then compares their applicability to a wide range of research scenarios. This essential guide addresses basic principles, numerical issues and computation, applications and provides code which readers can use in their own modeling projects. Researchers in the fields of computational mechanics, materials science and engineering will find this to be an ideal resource when they address the size effects observed in deformation mechanisms and strengths of various materials. Provides a comprehensive reference on the field of size effects and a review of mechanics of materials research in all scales Explains all major methods of size effects simulation, including non-local continuum models, non-local crystal plasticity, discrete dislocation methods and molecular dynamics Includes source codes that readers can use in their own projects
Download or read book Finite Strain Analysis in Elastic Theory written by Donald Hill Rock and published by . This book was released on 1939 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Plastic Deformation of Crystalline Solids written by K. S. Havner and published by Cambridge University Press. This book was released on 1992-03-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
