Weak and strong bi-material interfaces and their influence on propagating cracks in plane elastic structures
Weak and strong bi-material interfaces and their influence on propagating cracks in plane elastic structures
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弱和强双材料界面及其对平面弹性结构裂纹扩展的影响
DOI：
10.1016/j.prostr.2017.07.127
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Ricoeur
中科院分区：
文献类型：
--
作者：
Scheel;Ricoeur
非均质结构中裂纹路径的发展是应力不均匀状态的结果。后者源于弹性基体中的空洞或夹杂物，它们通过强或弱界面结合在一起。除了夹杂物的刚度外，界面的种类对应力状态也有决定性的影响，从而对裂纹的扩展也有决定性的影响。实验证明，裂纹倾向于向刚度较低的区域扩展（Tilbrook et al., 2006; Judt et al., 2015），因此基体裂纹可能被界面分层裂纹吸引。本研究考虑弱界面耗散过程，模拟双材料结构中基体裂纹扩展，并通过模拟具有强（完美）界面的相同双材料中的裂纹扩展提供参考。增量裂纹扩展构成基体裂纹扩展，需要不断修改几何形状。应用智能重网格程序，由于存在耗散过程，加载历史不能被忽略（Judt和Ricoeur， 2013）。裂纹挠度和裂纹尖端载荷分别由j积分准则和能量释放率决定。由此得到的裂纹路径证实，基体裂纹倾向于向刚度较低的区域方向扩展。如果考虑弱界面，则观察到分层对基体裂纹扩展的极吸引作用，其作用强于发散刚度的影响。
The developing crack paths in heterogeneous structures are the result of the inhomogeneous state of stress. The latter stems from e.g. voids or inclusions in an elastic matrix, which are bonded either by strong or weak interfaces. Besides the stiffness of an inclusion, the kind of interface has a decisive influence on the state of stress and therefore on propagating cracks. It is experimentally proven that cracks tend to grow towards regions with lower stiffness (Tilbrook et al., 2006; Judt et al., 2015), therefore matrix cracks might be attracted by interface delamination cracks. In this research the matrix crack growth in bi-material structures is simulated, incorporating dissipative processes arising at weak interfaces and a reference is provided by simulating the crack propagation in the same bi-material but with a strong (perfect) interface. Incremental crack extensions constitute the matrix crack growth, requiring a continuous modification of the geometry. An intelligent re-meshing procedure is applied, where the loading history cannot be neglected due to the presence of dissipative processes (Judt and Ricoeur, 2013b). The crack deflection and crack tip loading are determined by the J-integral criterion and the energy release rate, respectively. The resulting crack paths confirm that the matrix crack tends to grow into the direction of regions with lower stiffness. If weak interfaces are considered, an extremely attracting effect on propagating matrix cracks caused by the delamination is observed, which is stronger than the influence of divergent stiffnesses.
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