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在介绍微平面模型中数值离散算法的基础上,指出了现有文献中对微平面取向及权重的确定方法的特点和不足。针对微平面取向不够均匀以及微平面形状和物理意义不明确的问题,提出了一种基于正多面体表面网格划分后向球面进行投影的方法计算微平面取向,再利用球面几何的知识计算微平面权重的方法。在比选基于不同微平面划分方案时,提出了拟合宏观弹性刚度矩阵的优化目标。计算结果表明,该文所提方法可以得到微平面形状、大小完全均匀的划分方案,计算精度比文献中的最优方案更精确。
On the basis of introduction of the numerical discrete algorithm in the micro-plane model, the characteristics and shortcomings of the existing methods for determining the orientation and weight of the micro-plane are pointed out. Aiming at the problem that the orientation of the micro-plane is not uniform and the shape and physical meaning of the micro-plane are not clear, a method of projecting the back-spherical based on the surface of the regular polyhedron is proposed to calculate the orientation of the micro-plane. Then the knowledge of the spherical geometry is used to calculate the micro- Method of weighting. When comparing the schemes based on different micro-planes, the optimization objective of fitting the macro-elastic stiffness matrix is proposed. The calculation results show that the method proposed in this paper can get the plan of the micro-plane shape and the uniform size of the sub-plan. The calculation precision is more accurate than the optimal scheme in the literature.