Computational Inelasticity / Edition 1

by J.C. Simo, T.J.R. Hughes

Overview

A description of the theoretical foundations of inelasticity, its numerical formulation and implementation, constituting a representative sample of state-of-the-art methodology currently used in inelastic calculations. Among the numerous topics covered are small deformation plasticity and viscoplasticity, convex optimisation theory, integration algorithms for the constitutive equation of plasticity and viscoplasticity, the variational setting of boundary value problems and discretization by finite element methods. Also addressed are the generalisation of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalisation to finite-strain inelasticity theory, objective integration algorithms for rate constitutive equations, the theory of hyperelastic-based plasticity models and small and large deformation viscoelasticity. Of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.

Product Details

ISBN-13:	9780387975207
Publisher:	Springer New York
Publication date:	07/19/2000
Series:	Interdisciplinary Applied Mathematics , #7
Edition description:	1st ed. 1998. Corr. 2nd printing 2000
Pages:	392
Product dimensions:	6.10(w) x 9.25(h) x (d)

Table of Contents

Motivation. One-Dimensional Plasticity and Viscoplasticity.- Classical Rate-Independent Plasticity and Viscoplasticity.- Integration Algorithms for Plasticity and Viscoplasticity.- Discrete Variational Formulation and Finite-Element Implementation.- Nonsmooth Multisurface Plasticity and Viscoplasticity.- Numerical Analysis of General Return Mapping Algorithms.- Nonlinear Continuum Mechanics and Phenomenological Plasticity Models.- Objective Integration Algorithms for Rate Formulations of Elastoplasticity.- Phenomenological Plasticity Models Based on the Notion of an Intermediate Stress-Free Configuration.- Viscoelasticity.

Editorial Reviews

"This book is well written, is easy to follow, and contains much useful material for researchers and graduate students in various branches of engineering and applied mathematics." Newsletter of the EMS, Issue 42, December 2001

From the Publisher