Computational Implementation of an Internal Time Constitutive Equations in Finite Deformation Plasticity

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Computational Mechanics ’88
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Abstract

Finite element implementation of an internal time elasto-plastic constitutive equation that involves the plastic spin associated with Mandel’s material director is considered for finite strain deformations. A modified initial stress or strain type approach, which enables us to avoid the asymmetric stiffness related to the plastic spin terms, is discussed together with the algorithms for determining stresses such as the mid point radial return and the objective integration. Various numerical examples are presented with discussion.

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References

  1. Im, S. and Atluri, S.N., “A Study of Two Finite Strain Plasticity Models: An Internal Time Theory Using Mandel’s Director Concept, and a General Isotropic/Kinematic-Hardening Theory,” Int. J. Plasticity, Vol. 3, 1987, pp. 163–191.

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© 1988 Springer-Verlag Berlin Heidelberg

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Im, S., Atluri, S.N. (1988). Computational Implementation of an Internal Time Constitutive Equations in Finite Deformation Plasticity. In: Atluri, S.N., Yagawa, G. (eds) Computational Mechanics ’88. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61381-4_120

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  • DOI: https://doi.org/10.1007/978-3-642-61381-4_120

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64818-2

  • Online ISBN: 978-3-642-61381-4

  • eBook Packages: Springer Book Archive

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