Skip to main content
SpringerLink
Log in

Plasticity

Mathematical Theory and Numerical Analysis

  • Book
  • © 1999

Overview

Authors:
  1. Weimin Han

    1. Department of Mathematics, University of Iowa, Iowa City, IA, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. B. Daya Reddy

    1. Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. Continuum Mechanics and Elastoplasticity Theory

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Preliminaries

      Pages 3-14

    3. Continuum Mechanics and Linear Elasticity

      Pages 15-40

    4. Elastoplastic Media

      Pages 41-70

    5. The Plastic Flow Law in a Convex-Analytic Setting

      Pages 71-93

  4. Numerical Analysis of the Variational Problems

    1. Front Matter

      Pages 203-203
      Download chapter PDF

    2. Introduction to Finite Element Analysis

      Pages 205-222

    3. Approximation of Variational Problems

      Pages 223-236

    4. Approximations of the Abstract Problem

      Pages 237-270

    5. Numerical Analysis of the Primal Problem

      Pages 271-318

    6. Numerical Analysis of the Dual Problem

      Pages 319-354

  5. Back Matter

    Pages 355-372
    Download chapter PDF
Back to top

About this book

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

  • Department of Mathematics, University of Iowa, Iowa City, IA, USA

    Weimin Han

  • Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa

    B. Daya Reddy

Bibliographic Information

  • Book Title: Plasticity

  • Book Subtitle: Mathematical Theory and Numerical Analysis

  • Authors: Weimin Han, B. Daya Reddy

  • Series Title: Interdisciplinary Applied Mathematics

  • DOI: https://doi.org/10.1007/b97851

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • eBook ISBN: 978-0-387-22657-6Published: 17 May 2006

  • Series ISSN: 0939-6047

  • Series E-ISSN: 2196-9973

  • Edition Number: 1

  • Number of Pages: XIII, 373

  • Topics: Theoretical and Applied Mechanics

Publish with us

Policies and ethics

Back to top

Search

Navigation