Block elements in the theory of plates of irregular shape

摘要

The problem of studying the stress-strain state is considered for plates of irregular three-dimensional nonclassical shape made of a linear-elastic material, for example, for pyramidal or prismoidal plates. The block element method is used together with the vector eigenfunction method. This approach allows one to reduce the problem to solving a system of second-order integral equations with a second-order completely continuous operator and a separate equation in stresses and displacements.