Tengiz Burchuladze and Roland Rukhadze

Asymptotic Distribution of Eigenfunctions and Eigenvalues of Basic Boundary-contact Oscillation Problems of the Couple-Stress Elasticity Theory

The basic three-dimensional boundary-contact oscillation eigenvalue problems of the couple-stress elasticity theory are considered for a piecewise homogeneous medium. Formulas for asymptotic distribution of eigenfunctions and eigenvalues are derived.

Mathematics Subject Classification: 73B30, 73C25.

Key words and phrases: Elasticity, couple-stress, three-dimensional, boundary-contact, oscillation, Green's tensor, eigenfunctions and eigenvalues, asymptotic formulas.