Bibliographic Information

Computational inelasticity

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

(Interdisciplinary applied mathematics, v. 7)

Springer Science+Business Media, c1998

  • : pbk

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Note

Includes bibliography (p. 375-388) and index

Description and Table of Contents

Description

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.

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.

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Details
  • NCID
    BB28388749
  • ISBN
    • 9781475771695
  • LCCN
    97026427
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xiv, 392 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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