A mixed finite element method for plate bending with a unilateral inner obstacle. (English) Zbl 0796.73062

Summary: A unilateral problem of an elastic plate above a rigid interior obstacle is solved on the basis of a mixed variational inequality formulation. Using the saddle point theory and the Herrmann-Johnson scheme for a simultaneous computation of deflections and moments, an iterative procedure is proposed, each step of which consists in a linear plate problem. The existence, uniqueness and convergence analyses are presented.


74S05 Finite element methods applied to problems in solid mechanics
74K20 Plates
49J40 Variational inequalities
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