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Boundary variational inequality approach in the anisotropic elasticity for the Signorini problem. (English) Zbl 1008.35032

The equivalence of the spatial variational inequality and the boundary variational inequality for the Signorini problem in the anisotropic case of the elasticity theory is shown. Uniqueness and existence theorems for the solution of the boundary variational inequality are proved. A numerical approximation of a solution is constructed by Galerkin’s method with application of the boundary elements method and an error estimate is mentioned.

MSC:

35J85 Unilateral problems; variational inequalities (elliptic type) (MSC2000)
74B05 Classical linear elasticity
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