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

V.V. Zozulya1
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.

Keywords

Unilateral contact, friction, principles of virtual displacements, principles of virtual virtual stresses, boundary variational functional, nonsmooth optimization algorithm.

Cite This Article

Zozulya, V. (2009). Variational formulation and Nonsmooth Optimization Algorithms in Elastostatic Contact Problems for Cracked Body. CMES-Computer Modeling in Engineering & Sciences, 42(3), 187–216.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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