Study on stress concentration of elastic plates under special constraints

Abstract

The dual form differential governing equations for elastic thin plates widely used in the engineering practice are established in the state space formalism, and the complete solution space is obtained, including zero eigensolutions and nonzero eigensolutions. Moreover, the problems of the non-homogeneous lateral boundary conditions and the non-homogeneous governing equations are studied systematically. In numerical examples, we discussed stress distributions for the bending problems of thin plates, and analyzed the stress concentrations due to displacement boundary constrains using the analytical method.