Thermoelastic phenomena in transversally graded laminates

In this note the problem of thermoelasticity in composite, made of two components non-periodically distributed as microlaminas along one direction x1, which macroscopic properties change continuously along this direction perpendicular to the laminas, is considered. Two models are presented: the tolerance model, which governing equations take into account the effect of the microstructure size on the overall behaviour of these laminates and the asymptotic model, in which equations this effect is omitted. The tolerance model equations are obtained using the tolerance averaging technique. Applications of both models are shown in some examples. Then the results obtained by the tolerance modelling are verified with the exact solution.