Homogenization of thermoelasticity processes in composite materials with periodic structure of heterogeneities

The majority of processes in composite materials involve a wide range of scales. Because of the scale disparity in multi scale problem, it's often impossible to resolve the effect of small scales directly. In this paper we perform multi scale modeling in order to analyze properties of composite materials with periodical structure under temperature and stresses influence. Each component has its own thermal and mechanical (elastic) properties. We replace differential equations with rapidly oscillating coefficients by homogenized equations having effective parameters, incorporating multi scale structure and properties of any component. The influence of any component's properties and of the layer thickness on the effective properties of whole sample has been studied. We perform comparison of results, obtained with and without account for thermostresses. The majority of processes in composite materials involve a wide range of scales. Because of the scale disparity in multiscale problem, it is often impossible to resolve the effect of small scales directly. In this paper the authors perform multi scale modeling in order to analyze properties of composite materials with periodical structure under temperature and stresses influence.