ASYMPTOTICS OF SOLUTIONS TO THE SPECTRAL ELASTICITY PROBLEM FOR A TWO-DIMENSIONAL BODY WITH A SMALL CAVERN

摘要

We construct and justify asymptotic expansions of eigenvalues and eigenvectors of the elasticity problem for a two-dimensional inhomogeneous anisotropic body with a cavern or a boundary crack. In the case of an isotropic homogeneous body, we obtain explicit formulas.