Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness
type: Item
instance of: scholarly article
title: Homogenization of problems of elasticity theory on periodic box and rod frames of critical thickness
zbMATH Open document ID: 1085.35028
author: Svetlana E. Pastukhova
published in: Journal of Mathematical Sciences (New York)
publication date: 2006-01-23T00:00:00Z
review text: The author considers a problem of elasticity theory on thin periodic box and rod frames whose geometry depends on two small parameters \(\epsilon\), \(h(\epsilon)\) related to each other determining the cell of periodicity and the thickness of components. The homogenization corresponding problem is studied by the periodic measures method of V. V. Zhikov in the critical case where \(\lim_{\epsilon \rightarrow 0} \frac{h(\epsilon)}{\epsilon} = \theta > 0\).
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 74Q05
zbMATH DE Number: 5000641
zbMATH Keywords: Homogenization
zbMATH Keywords: Elasticity
zbMATH Keywords: periodic measures method
reviewed by: Marco Biroli
MaRDI profile type: Publication
full work available at URL: s10958-005-0392-8
OpenAlex ID: W1967042098
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DOI: 10.1007/S10958-005-0392-8
description: scientific article; zbMATH DE number 5000641