Abstract In this work, a phase-field method is applied to modeling damage and cracking in rock-like materials by considering spatial variability of materials heterogeneities. The formulation of phase-field method is first summarized for elastic brittle materials. The effective elastic properties of rocks are determined as functions of mineral compositions by using a linear homogenization method. The randomly distribution of mineral inclusions is assumed to follow the Weibull distribution. A series of five numerical specimens are chosen to investigate the onset and propagation of localized cracks. Comparisons between numerical results and experimental data are also presented for overall stress-strain responses.

中文翻译：

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用相场法模拟非均质类岩石材料的损伤和开裂

摘要 在这项工作中，通过考虑材料异质性的空间变异性，将相场方法应用于模拟岩石类材料的损伤和开裂。首先总结了弹性脆性材料的相场法的公式。岩石的有效弹性特性是通过使用线性均质化方法确定为矿物成分的函数。假定矿物包裹体的随机分布遵循威布尔分布。选择一系列五个数值试样来研究局部裂纹的发生和扩展。数值结果与实验数据之间的比较也针对整体应力应变响应进行了介绍。