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Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (7): 659-667.

• 论文 • 上一篇    下一篇

RATE VARIATIONAL EXTREMUM PRINCIPLES FOR FINITE ELASTOPLASTICITY

高扬1, E. T. Onat2   

  1. 1. Department of Forecasting and Development Research, Hejei University of Technology, Hefei;
    2. Department of Mechanical Engineering, Yale University, New Haven, U. S. A.
  • 收稿日期:1989-06-23 出版日期:1990-07-18 发布日期:1990-07-18

RATE VARIATIONAL EXTREMUM PRINCIPLES FOR FINITE ELASTOPLASTICITY

Gao Yang1, E. T. Onat 2   

  1. 1. Department of Forecasting and Development Research, Hejei University of Technology, Hefei;
    2. Department of Mechanical Engineering, Yale University, New Haven, U. S. A.
  • Received:1989-06-23 Online:1990-07-18 Published:1990-07-18

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摘要： Dual variational extremum principles for rate problems of classical elastoplasticitv at finite deformation are studied in Updated Lagrangian rate forms.It is proved that the convexity of the variational functionals are closely related to a so-called gap function, which plavs an important role in nonlinear variational problems.

Abstract: Dual variational extremum principles for rate problems of classical elastoplasticitv at finite deformation are studied in Updated Lagrangian rate forms.It is proved that the convexity of the variational functionals are closely related to a so-called gap function, which plavs an important role in nonlinear variational problems.

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