Plasticity Mathematical Theory and Numerical Analysis /

• Main Authors: Han, Weimin (Author), Reddy, B. Daya (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Edition: 2nd ed. 2013.
• Series: Interdisciplinary Applied Mathematics, 9
• Subjects: Mathematics.; Numerical analysis.; Mechanics.; Mechanics, Applied.; Continuum mechanics.; Numerical Analysis.; Theoretical and Applied Mechanics.; Continuum Mechanics and Mechanics of Materials.

This book focuses on the theoretical aspects of small strain theory of elastoplasticity with hardening assumptions. It provides a comprehensive and unified treatment of the mathematical theory and numerical analysis. It is divided into three parts, with the first part providing a detailed introducti...

Table of Contents:

• Preface to the Second Edition
• Preface to the First Edition.-Preliminaries
• Continuum Mechanics and Linearized Elasticity
• Elastoplastic Media
• The Plastic Flow Law in a Convex-Analytic Setting
• Basics of Functional Analysis and Function Spaces
• Variational Equations and Inequalities
• The Primal Variational Problem of Elastoplasticity
• The Dual Variational Problem of Classical Elastoplasticity
• Introduction to Finite Element Analysis
• Approximation of Variational Problems
• Approximations of the Abstract Problem
• Numerical Analysis of the Primal Problem
• References
• Index.-.