A computational model describing crack formation in a fibrous composite is developed. It is assumed that, upon repeated loading, crack formation in the composite leads to its fracture. Determination of the unknown parameters characterizing an initial crack is reduced to solving a singular integral equation. A closed system of nonlinear algebraic equations whose solution allows one to predict crack formation in the composite depending on the geometric and mechanical characteristics of the binder and fiber is constructed. A crack initiation criterion for the composite is formulated.

中文翻译：

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模拟纤维复合材料在跨纤维载荷下裂纹的发生和传播

开发了一种描述纤维复合材料中裂纹形成的计算模型。假设在重复加载时，复合材料中的裂纹形成导致其断裂。表征初始裂纹的未知参数的确定被简化为求解奇异积分方程。构建了一个非线性代数方程的封闭系统，其解允许根据粘合剂和纤维的几何和机械特性预测复合材料中裂纹的形成。制定了复合材料的裂纹萌生准则。