模拟纤维增强复合材料的相似子域边界元法

根据夹杂相积分区域的相似性,提出了相似子域边界元法求解方案。把含随机分布夹杂相的固体归结为对一个含有内边界条件复连通域问题的求解,与传统的有限元和边界元分域解法相比,显著地提高了计算效率。应用相似子域边界元法,对含有随机分布圆形和椭圆形夹杂相的固体材料进行了大量数值计算,并把夹杂相与基体材料之间从理想粘结扩展到带有界面层的情况。这些计算为相应纤维增强复合材料宏观等效力学特性研究提供了有效的数值模拟方法。 

NUMERICAL SIMULATION OF FIBER-REINFORCED COMPOSITES USING SIMILAR SUB-DOMAIN BEM SCHEME

Based on the similarity of integration area of random inclusions, similar sub-domain boundary element method scheme has been presented for the first time in this paper. Then, the 2D solid with randomly distributed inclusions can be reduced to a multiply connected domain of the matrix with inner boundary conditions. In this way, computational efficiency is enhanced significantly comparing to the conventional multi-domain approach of the FEM or BEM. As numerical examples, plenty of numerical computation for the solid with randomly distributed circular or elliptic inclusions is performed using the similar sub-domain BEM scheme. Furthermore, the interface between the matrix and inclusion can be not only ideal interface, but also the interface with interphase layers. The above-mentioned computation provides reliable numerical simulation methods for the investigation of the macroscopically effective properties of the corresponding fiber-reinforced composites.