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

 

作者: O. A. Oleinik,   A. S. Shamaev,   G. A. Yosifian,  

 

期刊: ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik  （WILEY Available online 1985）
卷期: Volume 65, issue 1  

页码: 13-17

 

ISSN:0044-2267

 

年代: 1985

 

DOI:10.1002/zamm.19850650106

 

出版商: WILEY‐VCH Verlag

 

数据来源: WILEY

 

摘要:

AbstractIn 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],

 

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