Plasticity

Mathematical Theory and Numerical Analysis

  • Weimin Han
  • B. Daya Reddy

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 9)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Continuum Mechanics and Elastoplasticity Theory

  3. The Variational Problems of Elastoplasticity

  4. Numerical Analysis of the Variational Problems

  5. Back Matter
    Pages 355-372

About this book

Introduction

The theory of elastoplastic media is now a mature branch of solid and structural mechanics, having experienced significant development during the latter half of this century. This monograph focuses on theoretical aspects of the small-strain theory of hardening elastoplasticity. It is intended to provide a reasonably comprehensive and unified treatment of the mathematical theory and numerical analysis, exploiting in particular the great advantages to be gained by placing the theory in a convex analytic context. The book is divided into three parts. The first part provides a detailed introduction to plasticity, in which the mechanics of elastoplastic behavior is emphasized. The second part is taken up with mathematical analysis of the elastoplasticity problem. The third part is devoted to error analysis of various semi-discrete and fully discrete approximations for variational formulations of the elastoplasticity. The work is intended for a wide audience: this would include specialists in plasticity who wish to know more about the mathematical theory, as well as those with a background in the mathematical sciences who seek a self-contained account of the mechanics and mathematics of plasticity theory.

Authors and affiliations

  • Weimin Han
    • 1
  • B. Daya Reddy
    • 2
  1. 1.Department of MathematicsUniversity of IowaIowa CityIAUSA
  2. 2.Department of Mathematics and Applied MathematicsUniversity of Cape TownSouth Africa

Bibliographic information

  • DOI https://doi.org/10.1007/b97851
  • Copyright Information Springer-Verlag New York, Inc. 1999
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98704-0
  • Online ISBN 978-0-387-22657-6
  • Series Print ISSN 0939-6047
  • About this book