Computational Inelasticity

J. C. Simo, T. J. R. Hughes (auth.)9780387975207, 0-387-97520-9

This book describes the theoretical foundations of inelasticity, its numerical formulation and implementation. The subject matter described herein constitutes 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 optimization 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 generalization of the theory to non-smooth yield surface, mathematical numerical analysis issues of general return mapping algorithms, the generalization 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. Computational Inelasticity will be of great interest to researchers and graduate students in various branches of engineering, especially civil, aeronautical and mechanical, and applied mathematics.

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Table of contents :
Motivation. One-Dimensional Plasticity and Viscoplasticity….Pages 1-70
Classical Rate-Independent Plasticity and Viscoplasticity….Pages 71-112
Integration Algorithms for Plasticity and Viscoplasticity….Pages 113-153
Discrete Variational Formulation and Finite-Element Implementation….Pages 154-197
Nonsmooth Multisurface Plasticity and Viscoplasticity….Pages 198-218
Numerical Analysis of General Return Mapping Algorithms….Pages 219-239
Nonlinear Continuum Mechanics and Phenomenological Plasticity Models….Pages 240-275
Objective Integration Algorithms for Rate Formulations of Elastoplasticity….Pages 276-299
Phenomenological Plasticity Models Based on the Notion of an Intermediate Stress-Free Configuration….Pages 300-335
Viscoelasticity….Pages 336-373