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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1007/s10533-012-9727-y

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1573-8795

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Contact of Elastic Bodies with Nonlinear Winkler S

Authors: R M Martynyak I A Prokopyshyn I I Prokopyshyn
Publish Date: 2015/02/03
Volume: 205, Issue: 4, Pages: 535-553
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Abstract

We present equivalent variational formulations of the problem of unilateral contact of elastic bodies with nonlinear Winkler surface layers in the form of a nonquadratic variational inequality and a nonlinear variational equation The existence and uniqueness of solutions of these variational problems are studied To solve the nonlinear variational equation corresponding to the original contact problem we propose a class of parallel iterative domain decomposition methods In each step of these methods it is necessary to simultaneously solve the linear variational equations for separate bodies equivalent in a weak sense to the problems of elasticity with the Robin boundary conditions in possible contact zones The numerical investigation of the efficiency of proposed methods is carried out with the use of finiteelement approximations

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