CALCULATION OF MICROSTRAINS AND MICROSTRESSES IN A THICK NONSYMMETRICAL HETEROGENEOUS PLATE BY HOMOGENIZATION

We consider the thermoelastic behaviour of a thick heterogeneous plate containing in its thickness a large number of periodically distribute d transverse holes or inclusions. We use the Reissner-Mindlin thermoel astic linear model of thick plates with a known temperature and we dis tinguish displacements in the upper and lower part of the plate with r espect to the middle plane. Due to the structure of the plate, thermal and elastic coefficients are non-uniformly and rapidly oscillating fu nctions of the space variable. Two-scale convergence, which is the sta te of the art in mathematical homogenization technics, is used and giv es convergence results and formulae allowing to calculate the distribu tion of microstrains and microstresses inside the plate when a macrosc opic behaviour is given.