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 complementarity 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 primal variational problem. Application to limit analysis is illustrated.
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Communicated by Zheng Qianshui
Project supported in part by National Science Foundation under Grant DMS-9400565
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Yang Gao, D. Contact problems and dual variational inequality of 2-D elastoplastic beam theory. Appl Math Mech 17, 953–968 (1996). https://doi.org/10.1007/BF00147133
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DOI: https://doi.org/10.1007/BF00147133