Journal of Theoretical
and Applied Mechanics

40, 1, pp. 85-100, Warsaw 2002

Thermodiffusion in periodically layered elastic composites

Andrzej Kaczyński, Stanisław J. Matysiak
The paper deals with modelling of thermodiffusion processes in periodically layered elastic composites. The study is based on the homogenized procedure with microlocal parameters and on the relations of the linear coupled theory of diffusion in thermoelastic homogeneous bodies. A useful homogenized model with microlocal parameters accounting for certain local effects of heat and diffusion fluxes, as well as stresses is derived. The equations of the homogenized model are given in terms of unknown macroconcentration, macrotemperature and macrodisplacements and extra unknowns called the microlocal parameters. An illustrating example of the application of the presented model is solved.
Keywords: thermodiffusion; elasticity; layered composite; concentration; temperature; displacement