BOUNDARY INTEGRAL EQUATION METHOD IN PROBLEMS OF COMPOSITE MATERIAL
AND MULTI-LAYER PLATE MECHANICS

Boykov Ilya Vladimirovich, Doctor of physical and mathematical sciences, professor, head of sub-department
of higher and applied mathematics, Penza State University, math@pnzgu.ru
Grinchenkov Grigory Igorevich, Postgraduate student, Penza State University, math@pnzgu.ru

518.5

The authors suggest two approximate methods for discovering static characteristics of multilayer plates with systems of differential equations in partial derivatives being its’ mathematical models. The first consists in reduction of the original system of equations in partial derivatives to a new class of hypersingular integral equations. The second consists in the reduction of the original problem to the system composed of a biharmonic equation and the Gordon-Klein. Application of the boundary integral equations to the latter system leads to the system of hypersingular integral equations, which is solved numerically.

multilayer plates, method of boundary integral equations, hypersingular integral equations.