Open Access

ARTICLE

Variational formulation and Nonsmooth Optimization Algorithms in Elastostatic Contact Problems for Cracked Body

V.V. Zozulya¹

1 Centro de Investigacion Cientifica de Yucatan A.C., Calle 43, No 130, Colonia: Chuburná de Hidalgo, C.P. 97200, Mérida, Yucatán, México. E-mail: zozulya@cicy.mx

Computer Modeling in Engineering & Sciences 2009, 42(3), 187-216. https://doi.org/10.3970/cmes.2009.042.187

Abstract

The mathematical statement for contact problem with unilateral restrictions and friction is done in classical and weak forms. Different variational formulation of unilateral contact problems with friction based on principles of virtual displacements and virtual stresses are considered. Especially boundary variational functionals that are used with boundary integral equations have been established. Nonsmooth optimization algorithms of Udzawa type for solution of unilateral contact problem with friction have been developed. Some theoretical results of existence and uniqueness in elastostatic unilateral contact problem with friction are outlined.

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Keywords

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