書誌事項

Computational inelasticity

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

(Interdisciplinary applied mathematics, v. 7)

Springer Science+Business Media, c1998

  • : pbk

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注記

Includes bibliography (p. 375-388) and index

内容説明・目次

内容説明

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.

目次

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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詳細情報
  • NII書誌ID(NCID)
    BB28388749
  • ISBN
    • 9781475771695
  • LCCN
    97026427
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xiv, 392 p.
  • 大きさ
    24 cm
  • 分類
  • 件名
  • 親書誌ID
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