随机双相介质宏观弹性模量的边界元法预报

THE PREDICTION OF MACROSCOPIC ELASTIC MODULUS OF RANDOM BIPHASE MEDIUM BY THE BEM METHOD

确定多相体材料的宏观性能与其细观组织之间的关系是当今计算结构力学的一个重要课题。本文采用高效率的二次等参边界元及子域法求解了随机双相介质的宏观弹性模量。计算结果与若干常见的解析公式进行了比较,为评价这些解析公式的可靠性提供了一定的依据。可以看出:边界元法在复合材料的计算力学中具有很大的潜力。

TO determine the relationship between the macroscopic behavior of multi-phase materials and their microscopic structure is nowadays an important subject of computational mechanics. In this paper, the efficient quadratic isoparametric boundary element and the multi-region technique were adopted to solve the macroscopic elastic modulus of a biphase medium with random order. The numerical results were compared with several common analytical formuli so as to provide a basis for appreciating the reliability of those cxpressions.It can be seen that the BEM method possesses a great potenial in computational mechanics of composite materials.