Effect of microstructure in thermoelasticity problems of functionally graded laminates

In this work the problem of thermoelasticity in composite, made of two different materials non-periodically distributed as microlaminas along one direction, is considered. The macroscopic properties of this composite are changing continuously along direction perpendicular to the laminas. In this note three models are presented: the tolerance and the asymptotic-tolerance model, taking into account the effect of the microstructure size and the asymptotic model, which equations omit this effect. To solve the equations of these three models, obtained by using the tolerance averaging technique, the finite difference method was used. Then the results obtained by the tolerance modelling were verified with the finite element method.