On the complex potentials of the linear thermoelasticity with microlocal parameters
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.
periodically layered thermoelastic composites
boundary value problems for analytical functions
scientific article; zbMATH DE number 4064578