Homogenization Analysis For The Linearized Elasticity Problem Of Layered Composite Materials

The homogenization of linearized elasticity problem for layered period composite material was considered. Based on the auxiliary problem, derive a method to compute the homog-enization coefficients. The explicit expressions of homogenization coefficients are given. Comparing the usual composite materials, this scheme avoids solving auxiliary problem, and easily obtaining equivalent physical parameters.It is easy to compute the value of the problem for the auxiliary periodic function, that can get firstly the function value of the partial derivatives in every direction. The usual partial derivatives and the coefficient of elasticity whose integral average value is certainly contact with the coefficient of homog-enization. This thesis just use that relation to express the coefficient of homogenization.