| This paper presents a mathematical model for the steady heat transfer problem of two-dimension layered composite materials.By using a cubic polynomial,it is easy to smooth the original heat conduction coefficient and get a new heat conduction coefficient.This method not only make the smooth of the heat conduction coefficient satisfy the requirement which needed by homogenization numeration but also make the new heat conduction coefficien-t have many properties of the original coefficient.For example,symmetry,positive definite property,bounded property,v-elliptic property and so on. The result of the computation shows that it is feasible to replace the original heat conduction coefficient by the new heat conduction coefficient.By using the finite element method,this paper gives the homogeniza-tion computation for the steady heat transfer problem of two-dimension layered composite materials.By comparing the data and figures,it is easy to find that the result is conform to the law.Also,the method in this paper is feasible. |
