Abstract

Both the elastoplastic constitutive equations and the frictional contact conditions are described as a kind of linear complementarity condition. Then based on the principle of virtual work and the finite element discretization, a mathematical programming method is obtained for the solution of elastoplastic contact problems with friction. This work is an extension of our previous work on the elastic contact problem (Zhu and Jin, Comput. Struct. 52, pp. 149–155 (1994)) and elastoplasticity problem (Zhu and Jin, Appl. Math. Mech. 14, pp. 635–642 (1993)). Two examples are chosen to illustrate the applicability of the method.

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