On the complex potentials of the linear thermoelasticity with microlocal parameters
type: Item
instance of: scholarly article
title: On the complex potentials of the linear thermoelasticity with microlocal parameters
zbMATH Open document ID: 0652.73006
DOI: 10.1007/BF01178311
published in: Acta Mechanica
publication date: 1988-01-01T00:00:00Z
review text: The linear theory of thermoelasticity with microlocal parameters was proposed lately by \textit{C. Wózniak} [Bull. Pol. Acad. Sci., Tech. Sci. 35, 133-142 (1987; Zbl 0615.73003) and 35, 143-151 (1987; Zbl 0615.73004); Int. J. Eng. Sci. 25, 483-498 (1987; Zbl 0607.73010)] as a certain alternative approach to the modelling of microperiodic composites. In this paper we adopt the complex variable method for two- dimensional problems of the periodically layered thermoelastic composites treated within the framework of the linear thermoelasticity with microlocal parameters. The presented complex potentials reduce two- dimensional static problems of the microperiodically layered thermoelastic composites to the boundary value problems for analytical functions. As an example illustrating this method the plane-strain problem of stress and temperature distribution in the microperiodic two- layered half-space subjected to general loading and temperature on the boundary is considered.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 4064578
zbMATH Keywords: homogenized model
zbMATH Keywords: two-dimensional problems
zbMATH Keywords: periodically layered thermoelastic composites
zbMATH Keywords: boundary value problems for analytical functions
zbMATH Keywords: plane-strain problem
author: A. Kaczyński
author: Stanisław J. Matysiak
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01178311
OpenAlex ID: W1977701318
description: scientific article; zbMATH DE number 4064578