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On the interaction and branching of fast running cracks- a numerical investigation

机译:快速裂纹的相互作用和分支-数值研究

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Phenomena of dynamic fracture in brittle materials resulting from the interaction of fast running cracks are investigated numerically. These studies concern the influence of mutual shielding on crack paths, the stress intensity factor and crack tip speed variations, the stability of a simultaneous propagation of several cracks, and the interaction of cracks of different size. Furthermore, dynamic crack branching is investigated form a macroscopic point of view. The respective initial boundary value problem of linear elastodynamics is formulated as a system of time-domain boundary integral equations in conjunction with experimentally motivated criteria for crack growth and branching. The numerical evaluation is based on a boundary element method and an appropriate discretization of the fracture and branching criteria. Results obtained from numerical simulations are discussed with regard to the experimental findings.
机译:数值研究了快速裂纹的相互作用引起的脆性材料动态断裂现象。这些研究涉及相互屏蔽对裂纹路径,应力强度因子和裂纹尖端速度变化,几个裂纹同时传播的稳定性以及不同尺寸的裂纹的相互作用的影响。此外,从宏观的角度研究了动态裂纹分支。线性弹性动力学的相应初始边界值问题被公式化为时域边界积分方程组,并结合实验动机确定裂纹扩展和分支的准则。数值评估是基于边界元方法以及对裂缝和分支准则的适当离散化。关于实验结果,讨论了从数值模拟获得的结果。

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