Rate Variational Extremum Principles for Finite Elastoplasticity

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Gao Yang, E. T. Onat. Rate Variational Extremum Principles for Finite Elastoplasticity[J]. Applied Mathematics and Mechanics, 1990, 11(7): 617-624.

Citation:

Gao Yang, E. T. Onat. Rate Variational Extremum Principles for Finite Elastoplasticity[J]. Applied Mathematics and Mechanics, 1990, 11(7): 617-624.

Citation:

Gao Yang, E. T. Onat. Rate Variational Extremum Principles for Finite Elastoplasticity[J]. Applied Mathematics and Mechanics, 1990, 11(7): 617-624.

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

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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