Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (5): 433-437.

• 论文 • 上一篇    下一篇

THE PARAMETRIC VARIATIONAL PRINCIPLE FOR PERZYNA MODEL IN VISCOPLASTICITY

曾攀, 钟成勰   

  1. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian
  • 收稿日期:1989-11-13 出版日期:1991-05-18 发布日期:1991-05-18

THE PARAMETRIC VARIATIONAL PRINCIPLE FOR PERZYNA MODEL IN VISCOPLASTICITY

Zeng Pan, Zhong Wan-xie   

  1. Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian
  • Received:1989-11-13 Online:1991-05-18 Published:1991-05-18

摘要: 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.

关键词: viscoplasticity, parametric variational principle, creep

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.

Key words: viscoplasticity, parametric variational principle, creep

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