Abstract
This paper presents the parametric variational principle for Perzyna model which is one of the main constitutive relations of viscoplasticity.The principle,by which the potential energy function is minimized under a constrained condition transformed by the constitutive relations of viscoplasticity, is free from the bound of Drucker's postulate of plastic flow and consequently suitable for solving the nonassociated plastic flow problems. Furthermore, the paper has proven the presented principle and discussed the creep problem.
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Pan, Z., Wan-xie, Z. The parametric variational principle for Perzyna model in viscoplasticity. Appl Math Mech 12, 433–437 (1991). https://doi.org/10.1007/BF02019587
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DOI: https://doi.org/10.1007/BF02019587