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工程力学  2013 

微平面模型取向与权重的改进计算方法

DOI: 1000-4750(2013)06-0054-06, PP. 54-59

Keywords: 微平面本构模型,取向,权重,数值离散,球面几何,微平面本构模型,取向,权重,数值离散,球面几何

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Abstract:

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。

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