Contact Problems and Dual Variational Inequality of 2-D Elastoplastic Beam Theory

Gao Yang

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Gao Yang. Contact Problems and Dual Variational Inequality of 2-D Elastoplastic Beam Theory[J]. Applied Mathematics and Mechanics, 1996, 17(10): 895-908.

Citation:

Gao Yang. Contact Problems and Dual Variational Inequality of 2-D Elastoplastic Beam Theory[J]. Applied Mathematics and Mechanics, 1996, 17(10): 895-908.

Citation:

Gao Yang. Contact Problems and Dual Variational Inequality of 2-D Elastoplastic Beam Theory[J]. Applied Mathematics and Mechanics, 1996, 17(10): 895-908.

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Contact Problems and Dual Variational Inequality of 2-D Elastoplastic Beam Theory

Gao Yang

Department of Mathematics, Virginia Polytechnic Institute and State University,Blacksburg, VA 24061, U.S.A.

Received Date: 1996-02-21
Publish Date: 1996-10-15

Abstract

Abstract

In order to study the frictional contact problems of the elastoplastic beam theory,an extended two-dimensional beam model is established, and a second order nonlinear equilibrium problem with both internal and external complementarity conditions is proposed. The external complementarity condition provides the free boundary condition. While the internal complemententarity condition gives the interface of the elastic and plastic regions. We prove that this bicomplementarity problem is equivalent to a nonlinear variational inequality The dual variational inequality is also developed.It is shown that the dual variational inequality is much easier than the primalvariational problem. Application to limit analysis is illustrated.
- complementarity problems,
- variational inequality,
- duality theory,
- elastoplastic beam

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References(18)

References

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