Computational Inelasticity

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

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English

Springer Verlag
01 June 2000

Mathematics & Sciences; Mathematics; Classical mechanics; Mathematical theory of computation

Series: Interdisciplinary Applied Mathematics

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.

By: J.C. Simo, T.J.R. Hughes
Imprint: Springer Verlag
Country of Publication: United States
Volume: v. 7
Dimensions: Height: 235mm, Width: 155mm, Spine: 23mm
Weight: 1.660kg
ISBN: 9780387975207
ISBN 10: 0387975209
Series: Interdisciplinary Applied Mathematics
Pages: 426
Publication Date: 01 June 2000
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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.

Reviews for Computational Inelasticity

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