×

The problem on a unilateral contact of two plates, one of which contains a rigid inclusion. (Russian. English summary) Zbl 1249.74082

Summary: We study the unilateral contact problem for two elastic plates located at a given angle to each other. One of the plates contains a rigid inclusion and is deformed in its plane with the other one being vertically deformed. Assuming that the solution is smooth, the differential statement being equivalent to the variational formulation is justified. We analyse different configurations of the rigid inclusion. The problem with rigid inclusion is shown to be obtained as the limiting one of a family of elastic problems.

MSC:

74K20 Plates
35Q74 PDEs in connection with mechanics of deformable solids
PDFBibTeX XMLCite