Main relationships for calculating an elastic field in a medium with spheric embeddings

Abstract

The task of equilibrium in elastic medium containing an infinite set of rigid spherical particles led to infinite systems of algebraic equations when conversion formula of external solution of the Lame’s equation was used for transition to a new coordinate system. It is shown how to simplify expressions for displacement of structures with orderly arrangement of hard particles using the infinite system of equations that were obtained in the satisfaction of boundary conditions.