The foliation structure and spatial variability are important factors affecting the fracture behavior of slate. According to the statistical analysis of mesostructural information, random slate specimens with the foliation structure are physically reconstructed by coupling a one-dimensional random field with a two-dimensional isotropic random field. A cohesion-based numerical method incorporating the foliation structure is developed to simulate the fracture behavior of slate-like materials. The elastic and fracture parameters are evaluated by direct tensile tests, and the numerical model is validated to be self-consistency. It has been confirmed by numerical simulations and tests that the elastic modulus and tensile fracture increase with the foliation angle, and there is a critical foliation angle from the tensile fracture to the shear fracture for the slate under uniaxial tension. Affected by the spatial variability of the foliation structure, slate fractures in the dense and thick area of the foliation plane, and the mechanical properties follow lognormal distribution.

叶理结构和空间变异性是影响板岩断裂行为的重要因素。根据细观结构信息的统计分析，通过将一维随机场与二维各向同性随机场耦合，对具有叶理结构的随机板岩标本进行物理重建。开发了一种结合叶理结构的基于凝聚力的数值方法来模拟板岩类材料的断裂行为。通过直接拉伸试验评估弹性和断裂参数，验证了数值模型的自洽性。通过数值模拟和试验证实，弹性模量和拉伸断口随叶片角度的增加而增加，单轴拉伸作用下，板岩从拉断口到剪切断口存在临界叶理角。受叶理结构空间变异性的影响，板岩在叶理面致密厚厚的区域发生裂缝，力学性质服从对数正态分布。