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THE PARAMETRIC VARIATIONAL PRINCIPLE FOR PERZYNA MODEL IN VISCOPLASTICITY
作者姓名:曾攀  钟成勰
作者单位:Research Institute of Engineering Mechanics,Dalian University of Technology,Dalian,Research Institute of Engineering Mechanics,Dalian University of Technology,Dalian
摘    要:This paper presents the parametric variational principle for Perzyna model which isone of the main constitutive relations of viscoplasticity.The principle,by which the potentialenergy function is minimized under a constrained condition transformed by the constitutiverelations of viscoplasticity,is free from the bound of Drucker’s postulate of plastic flow andconsequently suitable for solving the nonassociated plastic flow problems.Furthermore,the paper has proven the presented principle and discussed the creep problem.

收稿时间:13 November 1989

The parametric variational principle for Perzyna model in viscoplasticity
Zeng Pan,Zhong Wan-xie.THE PARAMETRIC VARIATIONAL PRINCIPLE FOR PERZYNA MODEL IN VISCOPLASTICITY[J].Applied Mathematics and Mechanics(English Edition),1991,12(5):433-437.
Authors:Zeng Pan  Zhong Wan-xie
Institution:(1) Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian
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.
Keywords:viscoplasticity  parametric variational principle  creep
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