Homogenous Method of Heat Transfer Problem of Composite Materials with Random Grains

In this paper,a homogenous method to solve the heat transfer problem of the composite materials with random grains is presented.Firstly,based on the property of the composite material with random grains,some probability spaces for the composite material with random grain are introduced and some properties in these spaces are proved.Next,the error estimation between the expected temperature field and the homogenous temperature field is obtained under some suppositions,Finally,some conclusion and some remarks are drawn to illustrate the validity of this method for the composite materials with random grains.