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On the complex potentials of the linear thermoelasticity with microlocal parameters. (English) Zbl 0652.73006

The linear theory of thermoelasticity with microlocal parameters was proposed lately by 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.

MSC:

74F05 Thermal effects in solid mechanics
74S30 Other numerical methods in solid mechanics (MSC2010)
74E05 Inhomogeneity in solid mechanics
74E30 Composite and mixture properties
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