On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity | Zendy

Oleinik O. A. | Zendy; Shamaev A. S. | Zendy; Yosifian G. A. | Zendy

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On the Convergence of the Energy, Stress Tensors, and Eigenvalues in Homogenization Problems of Elasticity

Author(s) -

Oleinik O. A.,

Shamaev A. S.,

Yosifian G. A.

Publication year - 1985

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.19850650106

Subject(s) - homogenization (climate) , eigenvalues and eigenvectors , elasticity (physics) , mathematical analysis , vibration , mathematics , boundary value problem , homogeneous , convergence (economics) , physics , acoustics , thermodynamics , biodiversity , ecology , quantum mechanics , biology , combinatorics , economics , economic growth

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].

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