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Theory and Finite Element Computation of Finite Elasto-Visco-Plastic Strains

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Anisotropy and Localization of Plastic Deformation
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Abstract

This paper presents a constitutive model of finite strain elasto-visco-plasticity suitable for metals which is highly effective for numerical implementation. Noval aspects of the proposed formulation are (i) the derivation of power-type associative viscoplastic evolution equations based on a penalty augmentation of the viscoplastic dissipation and (ii) a particular logarithmic elastic model suitable for metal elasticity. The combination of (i) and (ii) allows a direct implementation of integration algorithms used in linear viscoplasticity.

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References

  • Müller-Hoppe, N.; Stein, E. [1990], “On Finite Elastoviscoplastic Strains in Spatial Description, Formulation, Numerical Analysis and Implementation”, to appear in Journal of Mechanics and Physics of Solids.

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  • Simo, J.C.; Hughes, T.J.R. [1989], “Elastoplasticity and Viscoplasticity — Computational Aspects”, to appear in Springer Verlag Series in Applied Mathematics.

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  • Simo, J.C.; Miehe, C. [1990], “Associated Coupled Thermoplasticity at Finite Strains: Formulation, Numerical Analysis and Implementation”, to appear in Computer Methods in Applied Mechanics and Engineering.

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© 1991 Elsevier Science Publishers Ltd

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Stein, E., Miehe, C. (1991). Theory and Finite Element Computation of Finite Elasto-Visco-Plastic Strains. In: Boehler, JP., Khan, A.S. (eds) Anisotropy and Localization of Plastic Deformation. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3644-0_95

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  • DOI: https://doi.org/10.1007/978-94-011-3644-0_95

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-688-1

  • Online ISBN: 978-94-011-3644-0

  • eBook Packages: Springer Book Archive

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