Course Objective: • To facilitate a detailed knowledge of implementing and testing sound inelastic material constitutive models. Attendance policy: • For those. of evolution equations. Operator split method and consistent tangent modulus. portal7.infohio (UNIPV – IMATI). Computational inelasticity. January 8, 2 / Topics to be covered: 1. One dimensional plasticity and viscoplasticity. 2. Integration algorithms for 1-D plasticity and viscoplasticity; the elastoplastic prob- lem.
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There is a tradition of research and teaching in inelasticity at Stanford that goes back at DRM-free; Included format: PDF; ebooks can be used on all reading devices Computational Inelasticity will be of great interest to researchers and. Computational inelasticity / J.C. Simo, T.J.R. Hughes. p. cm. — (Interdisciplinary applied mathematics ; 7). Includes bibliographical references. Simo J.C., Hughes T.J.R. Computational Inelasticity. Файл формата pdf; размером 2,77 МБ. Добавлен пользователем Silver
Springer-Verlag New York, Inc. XIV, p. Since the last edition of this book, many important results in this field have been published. This new edition refers to the most important results. The part on hyperelastic models and anisotropic yield criteria has been enlarged and an Springer-Verlag Berlin Heidelberg, X, p.
I joined the faculty in , and shortly thereafter the Chairman of the Applied Mechanics Division, George Herrmann, asked me to present a course in plasticity. I taught the course a couple of times and developed a set of notes that I passed on to Juan Simo when he joined the faculty in I was Chairman at that time and I asked Juan to further develop the course into a full year covering inelasticity from a more comprehensive per- spective.
Juan embarked on this path creating what was to become his signature course. At the outset we decided to write a book that would cover the material in the course. Thereafter progress was intermittent and slow.
Some things were changed and some new chapters were added, but we both had become dis- tracted by other activities in the early s. Since that time I have been repeatedly urged to bring the project to completion.
Through the efforts of a number of individuals, the task is now completed. This book describes the theoretical foundations of inelasticity, its numerical formulation, and implementation. It is felt that the subject matter described herein constitutes a representative sample of state-of-the-art methodology currently used in inelastic calculations.
Chapter 1 begins with an overview of small deformation plasticity and vis- coplasticity in a one-dimensional setting. Notions introduced in Chapter 1 are generalized to multiple dimensions and developed more comprehensively in sub- sequent chapters.
In Chapter 2 the theory is generalized to multiple dimensions.
In addition to the three-dimensional case, plane-strain and plane-stress cases are presented, as well as thermodynamic considerations and the principle of maximal plastic dissipa- tion. Chapter 3 deals with integration algorithms for the constitutive equations of plasticity and viscoplasticity.
The two most important classes of return-mapping algorithms are described, namely, the closest-point projection and cutting-plane algorithms. The classical radial return method is also presented.
Another impor- tant mathematical tool in the construction of numerical methods for inelastic constitutive equations, the operator-splitting methodology, is also introduced in Chapter 3. Key technologies for successful implementation of inelasticity, such as the assumed strain method and the B-bar approach, are described. The generalization of the theory to nonsmooth yield sur- faces is considered in Chapter 5. Mathematical numerical analysis issues of general return-mapping algorithms and, in particular, their nonlinear stability are presented in Chapter 6.
The practically important subject of objec- tive integrative algorithms for rate constitutive equations is described in Chapter 8. In Chapter 9 the theory of hyperelastic-based plasticity models is presented.
This chapter covers the local multiplicative decomposition of the deformation gradient into elastic and plastic parts and numerical formulations of this concept by way of return-mapping algorithms. Chapter 10 deals with small and large deformation viscoelasticity.
For more advanced students wishing to understand the large deformation theory, Chapters 7 and 8 are essential. Chapter 8, in particular, deals with the types of formulations commonly used in large-scale commercial computer programs.
There is more research interest in the hyperelastic-based theories of Chapter 9, which are more satisfying from a theoretical point of view. However, as of this writing, they have not enjoyed similar attention from the developers of most commercial computer programs.
Over the past two years, this text has been used as the basis of courses at Stanford and Berkeley which provided vehicles for readying the manuscript for publication. I wish to sincerely thank the students in these classes for their considerable pa- tience and effort.
They spent many hours in this effort, and I wish to express my sincere thanks and gratitude to them.
Thomas J. One-Dimensional Plasticity and Viscoplasticity. One-Dimensional Frictional Models. A priori Stability Estimate. download eBook. download Hardcover. download Softcover. FAQ Policy. About this book This book describes the theoretical foundations of inelasticity, its numerical formulation and implementation. Show all. Table of contents 10 chapters Table of contents 10 chapters Motivation. One-Dimensional Plasticity and Viscoplasticity Pages Integration Algorithms for Plasticity and Viscoplasticity Pages Nonsmooth Multisurface Plasticity and Viscoplasticity Pages Viscoelasticity Pages Show next xx.