Computational inelasticity

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

This is 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 in this title 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. It is 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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[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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この本の情報

書名 Computational inelasticity
著作者等 Hughes, Thomas J. R.
Simo, J. C.
Simo J. C.
シリーズ名 Interdisciplinary applied mathematics
出版元 Springer
刊行年月 c1998
版表示 1st ed. 1998. Corr. 2nd printing 2000
ページ数 xiv, 392 p.
大きさ 25 cm
ISBN 0387975209
NCID BA37644897
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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