Institut Jean le Rond d'Alembert (UMR 7190), CNRS - Université Pierre et Marie Curie, 75005 Paris, France.
Département de mathématiques, Université de Lomé, 1515 Lomé, Togo.
Phys Rev E. 2017 May;95(5-1):053004. doi: 10.1103/PhysRevE.95.053004. Epub 2017 May 30.
The dynamics of a planar crack propagating within a brittle disordered material is investigated numerically. The fracture front evolution is described as the depinning of an elastic line in a random field of toughness. The relevance of this approach is critically tested through the comparison of the roughness front properties, the statistics of avalanches, and the local crack velocity distribution with experimental results. Our simulations capture the main features of the fracture front evolution as measured experimentally. However, some experimental observations such as the velocity distribution are not consistent with the behavior of an elastic line close to the depinning transition. This discrepancy suggests the presence of another failure mechanism not included in our model of brittle failure.
本文通过数值模拟的方式研究了在脆性无序材料中传播的平面裂纹的动力学特性。断裂前沿的演化被描述为在韧性的随机场中弹性线的去钉扎。通过将粗糙度前沿特性、雪崩统计和局部裂纹速度分布与实验结果进行比较，对该方法的相关性进行了严格的测试。我们的模拟结果捕捉到了实验测量到的断裂前沿演化的主要特征。然而，一些实验观察结果，如速度分布，与接近去钉扎转变的弹性线的行为不一致。这种差异表明存在我们的脆性失效模型中未包含的另一种失效机制。
