A nonstandard method of modelling of thermoelastic periodic composites
type: Item
instance of: scholarly article
title: A nonstandard method of modelling of thermoelastic periodic composites
zbMATH Open document ID: 0607.73010
DOI: 10.1016/0020-7225(87)90102-9
author: Czesław Woźniak
published in: International Journal of Engineering Science
publication date: 1987-01-01T00:00:00Z
review text: The purpose of the paper is to derive from the equations of the nonlinear thermoelasticity a certain class of homogenized models of periodic composite materials. The main feature of the proposed approach is a possibility of modelling local stresses and heat fluxes with various approximations. The approach is based on the methods of nonstandard analysis. The linearized equations and an example of application to laminated materials are discussed.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 03H99
zbMATH DE Number: 3982614
zbMATH Keywords: micro-periodic material structures
zbMATH Keywords: method of internal constraints
zbMATH Keywords: equations of the nonlinear thermoelasticity
zbMATH Keywords: homogenized models of periodic composite materials
zbMATH Keywords: local stresses
zbMATH Keywords: heat fluxes
zbMATH Keywords: methods of nonstandard analysis
MaRDI profile type: Publication
full work available at URL: 0020-7225(87)90102-9
OpenAlex ID: W2110307702
cites work: Q4197852
cites work: Non-homogeneous media and vibration theory
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cites work: Non-standard analysis
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cites work: Q3714515
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cites work: Homogenized thermoelasticity with microlocal parameters
description: scientific article; zbMATH DE number 3982614