Abstract
We deal with the anisotropic formulation for the stress tensor within theories of viscoplasticity and a multiplicative framework. As the formulation of an anisotropic strain energy function has not been yet established in the literature, we first discuss the theory and give a justification for it from a purely theoretical point of view. The inelastic behaviour is assumed to be governed by evolution equations of the unified type. As the anisotropic formulation considerably complicates the numerical approach, the numerical treatment is developed in full detail. Various numerical examples with applications to shells are presented.
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Sansour, C., Kollmann, F.G., Bocko, J. (2003). A Model of Finite Strain Viscoplasticity with an Anisotropic Elastic Constitutive Law. In: Hutter, K., Baaser, H. (eds) Deformation and Failure in Metallic Materials. Lecture Notes in Applied and Computational Mechanics, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36564-8_5
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DOI: https://doi.org/10.1007/978-3-540-36564-8_5
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