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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016 Number 6, Pages 41–46 (Mi vmumm193)

This article is cited in 8 papers

Mechanics

The Bakhvalov–Pobedrya homogenization method in composite mechanics

V. I. Gorbachev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: In the article the role of the outstanding scientist Professor Boris Efimovich Pobedrya in the formation and development of the method of averaging in the mechanics of composite materials with periodic structure is discussed. A generalization of this method is given for the case of nonuniform bodies with no periodic structure.

Key words: composite materials, nonuniform theory of elasticity, averaging method, integral formulas in the theory of elasticity.

UDC: 539.30, 519.6

Received: 22.04.2016


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2016, 71:6, 137–141

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