The Governing Parameter Method for implicit integration of viscoplastic constitutive relations for isotropic and orthotropic metals |
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Authors: | M Kojic |
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Affiliation: | (1) Faculty of Mechanical Engineering, University of Kragujevac, 34000 Kragujevac, Serbia-Yugoslavia |
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Abstract: | A general algorithm of implicit stress integration in viscoplasticity, based on the governing parameter method (GPM) is briefly
presented. It is assumed that the associative viscoplastic constitutive relations are governed by the Perzyna formulation
with a generalization suggested by Simo and Hughes. The algorithm is first applied to isotropic metals obeying the von Mises
yield condition with mixed hardening and then, to orthotropic metals with a generalized Hill's yield condition including a
mixed hardening assumption. Derivation of consistent tangent moduli is presented for both viscoplastic material models. The
proposed computational procedures are efficient, since they reduce the problem of stress integration to the solution of one
nonlinear equation, can use large time steps and are applicable to 2-D, 3-D, shell and beam structures. The tangent elastic
viscoplastic matrix provides high convergence rate in the overall equilibrium iterations. Numerical examples illustrate the
main characteristics of the developed computational procedures. |
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Keywords: | |
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