Simplified Method for Solving the Problem of Transversal Deflection of Micropolar Elastic Plates

Abstract

A simplified technique for solving the problem of transversal deflection of micropolar plates is developed within the framework of the micropolar theory of elasticity. The method is recommended for engineering calculations of micropolar structures, allowing a stress-strain state to be simply calculated via embedding a single function that brings a system of equations to the more convenient form. The task is successfully solved for a stress-strain state by the example of a long rectangular plate with different boundary conditions. The deflection plots are given, both in the context of micropolarity and in the framework of classical theory.