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为了模拟含随机分布椭圆形夹杂固体的等效力学特性 ,根据椭圆形夹杂积分区域的相似性 ,提出了求解此类问题的边界元计算方案。通过利用著名的有限元商用软件MSC.Marc和边界元程序对含有两个非常接近椭圆夹杂板材的对比计算分析 ,表明该文提出的边界元方案比有限元法具有更高的计算精度和计算效率。最后 ,对含有 5 0个随机分布椭圆夹杂的板材进行了计算分析 ,从而为长纤维状复合材料宏观等效力学特性的研究提供了可靠的数值模拟方法。
In order to simulate the equivalent mechanical properties of inclusions with randomly distributed elliptical inclusions, a computational solution to the boundary element problem is proposed according to the similarity of elliptic inclusions. By using the well-known finite element commercial software MSC.Marc and boundary element program, the comparison analysis of two very close elliptical inclusions shows that the proposed boundary element scheme has higher computational accuracy and computational efficiency than the finite element method . Finally, the calculation of the plates with 50 randomly distributed elliptical inclusions provides a reliable numerical simulation method for the study of the macroscopic equivalent mechanical properties of the long fibrous composites.