Study of stress-deformed state of rectangular plates based on nonclassical theory

Abstract

The construction of a three-dimensional theory of rectangular plates free of the Kirchhoff–Love hypotheses has been considered. The asymptotic integration of differential equations of three-dimensional problem of the elasticity theory has been used to clarify the results of classical theory in narrow boundary zones of the plate. This article has been focused on identifying the stress-deformed state (SDS) of the boundary layer type near rigidly and elastically fixed edges by the plate where the destruction of thin-walled structural elements in machinery, including aviation and space technology, takes place.