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On Anisotropic Formulations of the Elastic Law within Multiplicative Inelasticity

  • Carlo Sansour
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 114)

Abstract

The paper addresses an anisotropic formulation of finite strain viscoplasticity. We focus on the formulation of the anisotropic constitutive law for the stress tensor. The essential ingredients of the theory are: 1) the multiplicative setting of inelasticity, 2) the formulation of an anisotropic elastic law based on a mixed-variantly transformed structural tensors. A numerical example is included as well.

Keywords

Structural Tensor Elastic Anisotropy Reference Configuration Dissipation Inequality Anisotropic Formulation 
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References

  1. [1]
    S. R. Bodner and Y. Partom, “Constitutive equations for elastic-viscoplastic strain-hardening materials”, Asme, J. Appl. Mech., 42, 385–389 (1975).CrossRefGoogle Scholar
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    J.P. Boehler, (ed.), Applications of Tensor Functions in Solid Mechanics, Springer (1987).Google Scholar
  3. [3]
    Maugin, G.A., 1995. Material forces: Concepts and applications. Appl. Mech. Rev. 48, 213–245.CrossRefGoogle Scholar
  4. [4]
    C. Sansour and F.G. Kollmann, “Large viscoplastic deformations of shells. Theory and finite element formulation”, Computational Mech., 21, 512–525 (1998).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2004

Authors and Affiliations

  • Carlo Sansour
    • 1
  1. 1.School of Petroleum EngineeringUniversity of AdelaideAdelaideAustralia

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