Research Catalog

Title

Plasticity : mathematical theory and numerical analysis / Weimin Han, B. Daya Reddy.

Author

Han, Weimin.

Publication

New York : Springer, [1999], ©1999.

Items in the Library & Off-site

Holdings

Details

Additional Authors

Reddy, B. Dayanand, 1953-

Description

xiii, 371 pages : illustrations; 25 cm.

Summary

• 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 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.

Series Statement

Interdisciplinary applied mathematics ; 9

Uniform Title

Interdisciplinary applied mathematics ; v. 9.

Subject

• Plasticity
• Numerical analysis

Bibliography (note)

• Includes bibliographical references ([355]-364) and index.

Contents

I. Continuum Mechanics and Elastoplasticity Theory. 1. Preliminaries. 2. Continuum Mechanics and Linear Elasticity. 3. Elastoplastic Media. 4. The Plastic Flow Law in a Convex-Analytic Setting -- II. The Variational Problems of Elastoplasticity. 5. Results from Functional Analysis and Function Spaces. 6. Variational Equations and Inequalities. 7. The Primal Variational Problem of Elastoplasticity. 8. The Dual Variational Problem of Elastoplasticity -- III. Numerical Analysis of the Variational Problems. 9. Introduction to Finite Element Analysis. 10. Approximation of Variational Problems. 11. Approximations of the Abstract Problem. 12. Numerical Analysis of the Primal Problem. 13. Numerical Analysis of the Dual Problem.

ISBN

0387987045 (hc. : alk. paper)

LCCN

98051755

OCLC

• 40359463
• ocm40359463

Owning Institutions

Columbia University Libraries