Summary
The linear theory of thermoelasticity with microlocal parameters was proposed lately in [1], [2], [3] 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 values 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.
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Kaczyński, A., Matysiak, S.J. On the complex potentials of the linear thermoelasticity with microlocal parameters. Acta Mechanica 72, 245–259 (1988). https://doi.org/10.1007/BF01178311
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DOI: https://doi.org/10.1007/BF01178311