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On an interaction of two elastic bodies: analysis and algorithms. (English) Zbl 1265.74053
Summary: The paper deals with existence and uniqueness results and with the numerical solution of the nonsmooth variational problem describing a deflection of a thin annular plate with Neumann boundary conditions. Various types of the subsoil and the obstacle which influence the plate deformation are considered. Numerical experiments compare two different algorithms.
MSC:
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74S05 Finite element methods applied to problems in solid mechanics
74B99 Elastic materials
65L10 Numerical solution of boundary value problems involving ordinary differential equations
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References:
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