Abstract The paper describes a probabilistic model capturing the multiple-cracking behavior of unidirectional brittle-matrix composites loaded in tension. The approach to modeling of composite fragmentation introduces two salient features that enhance both efficiency and flexibility compared to existing simulation methods: First, the algorithm identifies the emerging cracks one by one within a minimum number of load increments. Second, the crack-tracing algorithm is based on an abstract description of a crack bridge behavior. As a result, it is possible to combine the crack-tracing algorithm with a wide variety of crack bridge models, i.e. non-linear, deterministic or probabilistic. In this way, specific phenomena of bond behavior in different types of composites can be accounted for. The random nature of matrix cracking is reproduced using a random field simulation of the matrix strength. The model is verified by reproducing analytical results available for constant bond-slip law. The feasibility and robustness of the algorithm is demonstrated using an interactive web application that is directly executable from within a public github.com repository.

中文翻译：

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基于一对一裂纹追踪算法的脆性基复合材料概率多重裂纹模型

摘要 本文描述了一个概率模型，该模型捕捉了单向脆性基体复合材料在拉伸条件下的多次开裂行为。与现有模拟方法相比，复合材料破碎建模方法引入了两个显着特征，提高了效率和灵活性：首先，该算法在最小数量的载荷增量内逐一识别新出现的裂缝。其次，裂纹追踪算法基于裂纹桥行为的抽象描述。因此，可以将裂纹追踪算法与多种裂纹桥模型（即非线性、确定性或概率性）相结合。通过这种方式，可以解释不同类型复合材料中粘合行为的特定现象。使用基质强度的随机场模拟再现基质破裂的随机性质。该模型通过再现适用于恒定键滑移定律的分析结果进行验证。使用可直接从公共 github.com 存储库中执行的交互式 Web 应用程序证明了该算法的可行性和稳健性。