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Theoretical foundation for large-scale computations for nonlinear material behavior pp 29–63Cite as

Numerical Implementation of Constitutive Models: Rate-Independent Deviatoric Plasticity

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Part of the book series: Mechanics of elastic and inelastic solids 6 ((MEIS,volume 6))

Abstract

Basic concepts concerning the numerical implementation of rate-independent deviatoric plasticity theories are presented. Both small and finite deformations are dealt with. Emphasis is placed on the central problem of computational plasticity, that is, given a deformation history, find the corresponding stress history by integrating the constitutive equations. Mathematical well-posedness requires non-classical specification of elastic and plastic processes. This problem is discussed for Mises, Tresca and non-convex “starlike” yield surfaces, associative and non-associative flow rules, and strain hardening and softening. The radial-return concept is emphasized in the algorithmic descriptions. A unified treatment of a class of finite-deformation theories is presented. Accurate and efficient procedures for calculating kinematical quantities necessary in finite deformation analysis are described.

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Author information

Authors and Affiliations

  1. Stanford University, Stanford, California, USA

    Thomas J. R. Hughes

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  1. Thomas J. R. Hughes
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Editors and Affiliations

  1. Northwestern University, Evanston, Illinois, USA

    Siavouche Nemat-Nasser

  2. Brown University, Providence, Rhode Island, USA

    Robert J. Asaro

  3. University of California, San Diego, La Jolla, California, USA

    Gilbert A. Hegemier

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© 1984 Martinus Nijhoff Publishers, Dordrecht.

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Hughes, T.J.R. (1984). Numerical Implementation of Constitutive Models: Rate-Independent Deviatoric Plasticity. In: Nemat-Nasser, S., Asaro, R.J., Hegemier, G.A. (eds) Theoretical foundation for large-scale computations for nonlinear material behavior. Mechanics of elastic and inelastic solids 6, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6213-2_3

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  • DOI: https://doi.org/10.1007/978-94-009-6213-2_3

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6215-6

  • Online ISBN: 978-94-009-6213-2

  • eBook Packages: Springer Book Archive

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