On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity
O A Oleĭnik, А. С. Шамаев, G. A. Yosifian · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1985
Abstract In this paper we study the convergence of energy integrals, stress tensors and frequencies of free vibrations for non‐homogeneous and porous elastic bodies with a periodic structure of period ε as ε → 0. The results are based on the estimates for solutions of the boundary value problem of the elasticity system with rapidly oscillating periodic coefficients, obtained in [4], [11].