Abstract As a consequence of shearing, wing cracks can emerge from pre-existing fractures. The process involves the interaction of sliding of the existing fracture surfaces and the tensile material failure that creates wing cracks. This work devises a numerical model to investigate how wing cracks emerge, propagate and connect pre-existing fractures under shear processes. A mathematical and numerical model for wing crack propagation based on linear elastic fracture mechanics that also accounts for fracture contact mechanics is presented. Computational efficiency is ensured by an adaptive remeshing technique. The numerical model is verified and validated through a comparison of the analytical and experimental results. Additional numerical examples illustrate the performance of the method for complex test cases where wing-cracks develop for multiple pre-existing and interacting fractures.

中文翻译：

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考虑断裂接触力学的机翼裂纹扩展数值模拟

摘要 作为剪切的结果，翼裂纹可以从预先存在的裂缝中出现。该过程涉及现有断裂表面的滑动和产生机翼裂纹的拉伸材料失效的相互作用。这项工作设计了一个数值模型来研究在剪切过程中机翼裂纹如何出现、传播和连接预先存在的裂缝。提出了一种基于线弹性断裂力学的机翼裂纹扩展数学和数值模型，该模型也考虑了断裂接触力学。计算效率由自适应重新网格技术确保。通过比较分析和实验结果来验证和验证数值模型。