Elastic equilibrium and effective elastic constants of a cross-reinforced fiber composite
type: Item
instance of: scholarly article
title: Elastic equilibrium and effective elastic constants of a cross-reinforced fiber composite
zbMATH Open document ID: 0793.73063
DOI: 10.1007/BF00847324
author: V. T. Golovchan
author: Volodymyr I. Kushch
published in: International Applied Mechanics
publication date: 1994-05-08T00:00:00Z
review text: A solution of the problem on a stressed state of the cross-reinforced fibrous composite under condition of macroscopically uniform external loading is obtained. The initial tri-periodic problem is reduced to the problem for a layer whose displacement vector is presented as a series by especially constructed systems of inner and outer bi-periodical solutions of the Lamé equation. Using representations of partial solutions in different coordinate bases, the initial boundary problem is reduced to an infinite system of linear algebraic equations.
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 553510
zbMATH Keywords: averaging
zbMATH Keywords: tri-periodic problem
zbMATH Keywords: Lamé equation
zbMATH Keywords: infinite system of linear algebraic equations
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00847324
OpenAlex ID: W1988391767
description: scientific article; zbMATH DE number 553510