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Computational Inelasticity : Interdisciplinary Applied Mathematics - J. C. Simo

Computational Inelasticity

Interdisciplinary Applied Mathematics

Hardcover

Published: 19th July 2000
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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.

"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

Preface
Motivation. One-Dimensional Plasticity and Viscoplasticityp. 1
Classical Rate-Independent Plasticity and Viscoplasticityp. 71
Integration Algorithms for Plasticity and Viscoplasticityp. 113
Discrete Variational Formulation and Finite-Element Implementationp. 154
Nonsmooth Multisurface Plasticity and Viscoplasticityp. 198
Numerical Analysis of General Return Mapping Algorithmsp. 219
Nonlinear Continuum Mechanics and Phenomenological Plasticity Modelsp. 240
Objective Integration Algorithms for Rate Formulations of Elastoplasticityp. 276
Phenomenological Plasticity Models Based on the Notion of an Intermediate Stress-Free Configurationp. 300
Viscoelasticityp. 336
Referencesp. 375
Indexp. 389
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387975207
ISBN-10: 0387975209
Series: Interdisciplinary Applied Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 392
Published: 19th July 2000
Publisher: SPRINGER VERLAG GMBH
Country of Publication: US
Dimensions (cm): 23.5 x 16.4  x 2.8
Weight (kg): 0.8