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Crack impinging on a curved weak interface: Penetration or deflection?
Journal of the Mechanics and Physics of Solids ( IF 5.3 ) Pub Date : 2023-05-29 , DOI: 10.1016/j.jmps.2023.105326
M.T. Aranda , I.G. García , A. Quintanas-Corominas , J. Reinoso

Curved weak interfaces present promising advantages to be implemented as crack arrestors in structures designed under the damage tolerant-design principles. Among other advantages, they neither add extra weight nor significantly affect the global stiffness of the structural element, in contrast with alternative crack arrestors concepts. To be employed as a crack arrestor, it is key that the interface is able to deviate the crack. If the crack penetrates across the interface, the effect of the weak interface as a crack arrestor is canceled. In view of this, this work studies how to set the interface parameters to promote crack deviation along the interface. In particular, following the dimensional analysis of the problem, the effect of three significant dimensionless parameters is studied: interface to bulk fracture toughness, interface to bulk tensile strength, and the interface curvature radius normalized with the material characteristic length. The corresponding analysis is carried out using three approaches widely applied for the prediction of cracking events: Linear Elastic Fracture Mechanics, Finite Fracture Mechanics, and a combination of Phase field and Cohesive Zone Model. The results present a clear effect of some parameters, such as the ratio of the interface to bulk fracture toughness, for which the three approaches agree. However, the results are moderately diverse in which correspond to the effect of the ratio of the interface to bulk tensile strength and quite divergent in what respect to the effect of the radius. The results are interpreted and explained as a consequence of the main assumptions behind the approaches studied.



中文翻译:

冲击弯曲弱界面的裂纹:穿透还是偏转?

弯曲的弱界面呈现出有前途的优势,可以在根据损伤容限设计原则设计的结构中作为止裂器实施。除其他优点外,与其他止裂器概念相比,它们既不会增加额外的重量,也不会显着影响结构元件的整体刚度。要用作止裂器,界面能否偏离裂纹是关键。如果裂纹穿透界面,则弱界面作为止裂器的作用被取消。鉴于此,本文研究了如何设置界面参数来促进裂纹沿界面偏移。特别是,在对问题进行量纲分析之后,研究了三个重要的无量纲参数的影响:界面对整体断裂韧性的影响,界面对整体拉伸强度的影响,界面曲率半径用材料特征长度归一化。采用线弹性断裂力学、有限断裂力学、相场与粘性带模型相结合的三种预测开裂事件的方法进行了相应的分析。结果显示了一些参数的明显影响,例如界面与整体断裂韧性的比率,这三种方法都同意这一点。然而,结果适度不同,其中对应于界面与体积拉伸强度之比的影响,并且在半径的影响方面相当不同。结果被解释和解释为所研究方法背后的主要假设的结果。以及用材料特征长度归一化的界面曲率半径。采用线弹性断裂力学、有限断裂力学、相场与粘性带模型相结合的三种预测开裂事件的方法进行了相应的分析。结果显示了一些参数的明显影响,例如界面与整体断裂韧性的比率,这三种方法都同意这一点。然而,结果适度不同,其中对应于界面与体积拉伸强度之比的影响,并且在半径的影响方面相当不同。结果被解释和解释为所研究方法背后的主要假设的结果。以及用材料特征长度归一化的界面曲率半径。采用线弹性断裂力学、有限断裂力学、相场与粘性带模型相结合的三种预测开裂事件的方法进行了相应的分析。结果显示了一些参数的明显影响,例如界面与整体断裂韧性的比率,这三种方法都同意这一点。然而,结果适度不同,其中对应于界面与体积拉伸强度之比的影响,并且在半径的影响方面相当不同。结果被解释和解释为所研究方法背后的主要假设的结果。

更新日期:2023-05-30
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