×

zbMATH — the first resource for mathematics

Asymptotic distribution of eigenelements of the basic two-dimensional boundary-contact problems of oscillation in classical and couple-stress theories of elasticity. (English) Zbl 0984.74010
Summary: We consider boundary-contact problems of oscillation for a two-dimensional piecewise-homogeneous isotropic elastic medium bounded by several closed curves. Asymptotic formulas for the distribution of eigenfunctions and eigenvalues are derived using the correlation method.
MSC:
74B05 Classical linear elasticity
74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics
35P20 Asymptotic distributions of eigenvalues in context of PDEs
PDF BibTeX XML Cite
Full Text: EuDML