大变形弹塑性率变分极值原理

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Rate Variational Extremum Principles for Finite Elastoplasticity

1.
Department of Forecasting & Development Research, Hefei University of Technology, Hefei;
2.
Department of Mechanical Engineering, Yale University, New Haven, U. S. A.

摘要: 在Updated Lagrangian率形式下,研究了大变形弹塑性率问题的对偶极值变分原理.证明了变分泛函的凸性取决于一个所谓的间隙函数.

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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