A Finite Element——Mathematical Programming Method for Elastoplastic Problems Based on the Principle of Virtual Work

Zhu Chang-ming; Jin Yong-jie

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Article Navigation > Applied Mathematics and Mechanics > 1993 > 14(7): 601-608

Zhu Chang-ming, Jin Yong-jie. A Finite Element——Mathematical Programming Method for Elastoplastic Problems Based on the Principle of Virtual Work[J]. Applied Mathematics and Mechanics, 1993, 14(7): 601-608.

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A Finite Element——Mathematical Programming Method for Elastoplastic Problems Based on the Principle of Virtual Work

Dept. of Eng. Mech., Shanghai Jiao Tong Univ, Shanghai

Received Date: 1992-05-04
Publish Date: 1993-07-15

Abstract

Abstract

By expanding the yielding function according to Taylor series and neglecting the high order terms,the elastoplastic constitutive equation is written in a linear complementary form.Based on this linear complementary form and the principle of virtual work,a finite element-complementary method is derived for elastoplastic problem.This method is available for materials which satisfy either associated or nonassociated flow rule.In addition,the existence and uniqueness of solution for the method are also discussed and some useful conclusions have been reached.
- elastoplasticity,
- principle of virtual work,
- mathematical programming,
- FEM

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References(7)

References

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