Investigation of Quasi-Static Deflection of an Elastic Plate Made of Ingomogeneous Material under Compression

The quasi-static behavior of an elastically reinforced ingomogeneous plate under compression is investigated. The problem of the existence of a quasi-static deformation process is considered based on the solution of an extremal problem. A condition is obtained, upon violation of which, it is not necessary to study the plate bending based on the selected mathematical model. For two particular cases of changes in the material properties, an analysis of the influence of non-homogeneity parameters on the region of quasi-static deformation described by the solution of a variational problem is carried out.