HOMOGENOUS METHOD ANALYSIS FOR ELASTICITY DISPLACEMENT FIELDS OF COMPOSITES WITH RANDOM GRAINS
一种颗粒随机分布复合材料弹性位移场均匀化方法的理论分析

In this paper, a homogenous method to solve the elasticity mechanics problem of the composites with random grains is presented to overcome the shortcoming of too much time and memory. At the same time, the error between the homogenous displacement fields and the expected displacement fields is also obtained. Firstly, based on the property of the composites with random grains, some probability spaces for the composites with random grain are introduced. Next, the error between the expected displacement fields and the homogenous displacement fields is obtained under some suppositions. Finally, some conclusion and some remarks are given to illustrate the validity of this method for the composites with random grains.