A TWO-STEP ASYMPTOTIC MODELLING OF THE HEAT CONDUCTION IN A FUNCTIONALLY GRADED STRATIFIED LAYER

Olga Szlachetka (1) , Monika Wagrowska (1) , Czeslaw Wozniak (2)

1 SGGW - Warsaw University of Life Sciences
2 Łódź University of Technology

The aim of the contribution is to obtain heat conduction equations with slowly varying coefficients for a functionally graded stratified layer. The proposed procedure is realized in two steps. In the first step we deal with two independent isotropic materials, each of them reinforced by a periodically spaced very thin layers. Using the homogenization procedure we obtain two new orthotropic materials. In the second step these new materials are combined together in order to derive the functionally graded composite model constituting the basis for analysis.

Domaines: Mécanique [physics]

Olga Szlachetka, Monika Wagrowska, Czeslaw Wozniak. A TWO-STEP ASYMPTOTIC MODELLING OF THE HEAT CONDUCTION IN A FUNCTIONALLY GRADED STRATIFIED LAYER. ACTA Scientiarum Polonorum: Architectura, 2012, 11 (3), pp.3-9. ⟨hal-01120764⟩