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Six Fundamental Boundary Value Problems in the Mechanics of Periodic Composites

Journal Applied Mechanics and Materials (Volumes 5 - 6)
Volume Modern Practice in Stress and Vibration Analysis VI
Edited by Patrick Sean Keogh
Pages 551-558
DOI 10.4028/www.scientific.net/AMM.5-6.551
Citation V.A. Palmov et al., 2006, Applied Mechanics and Materials, 5-6, 551
Online since October, 2006
Authors V.A. Palmov, A.I. Borovkov
Keywords Basic Solutions, Boundary Layer Concept, Fluctuations, Homogenization, Periodic Composites, Regular Expansions
Abstract

A new approach in the mechanics of composites is presented. We use basic solutions and regular expansions in order to represent stresses, strains and displacements in a composite. We perform homogenization and present new formulae for the effective moduli. We propose a new approach to the formulation of homogenized equations and boundary conditions.

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