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Interface crack propagation in porous and time-dependent materials analyzed with discrete models

机译:用离散模型分析多孔和时间相关材料中的界面裂纹扩展

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A model describing the crack propagation at the interface between a rigid substratum and a beam is considered. The interface is modeled using a fiber bundle model (i.e. using a discrete set of elements having a random strength). The distribution of avalanches, denned as the distance over which the crack is propagated under a fixed force, is studied in order to capture the effect of ageing and time-dependent response of the interface. The avalanches depend not only on the statistical distribution of strength but more importantly on time (or displacement) correlations. Namely, local fiber breakage kinetics is related to a correlation length, which sets the size of the fracture process zone which occurs ahead of the crack due to progressive failure. First, a variation of porosity of the interface is considered. It corresponds for instance to diffusion controlled dissolution processes. Interpreting the results in Delaplace et al. [Delaplace A, Roux S, Pijaudier-Cabot G (2001) J Eng Mech 127:646-652], it is shown that the size of the fracture process zone increases with increasing porosity in accordance with experimental observations [Haidar K, Pijau-dier-Cabot G, Dube J-F, Loukili A (2005) Mater Struct 38:201-210]. The creep-fracture interaction is analyzed in the second part of the paper. It is found based on a Maxwell model that the size of the process zone depends on the fracture propagating velocity and on the distribution of forces in the interface due to the interaction between the interface and the rest of the specimen. The observed decrease of the size of the process zone, in creep experiments, compared to the size of the process zone in a time-independent process, is justified by the proposed model for an interface that is less viscous than the rest of the material.
机译:考虑一个描述在刚性基底和梁之间的界面处的裂纹扩展的模型。使用纤维束模型(即,使用具有随机强度的离散元素集)对界面进行建模。研究雪崩的分布(定义为在固定力作用下裂纹扩展的距离),以捕获界面的时效和时效响应。雪崩不仅取决于强度的统计分布,而且更重要的是取决于时间(或位移)的相关性。即,局部纤维断裂动力学与相关长度有关,该相关长度设定了由于进行性破坏而在裂纹之前发生的断裂过程区域的尺寸。首先,考虑界面孔隙率的变化。例如,它对应于扩散控制的溶解过程。在Delaplace等人中解释结果。 [Delaplace A,Roux S,Pijaudier-Cabot G(2001)J Eng Mech 127:646-652],根据实验观察结果表明,随着孔隙度的增加,断裂过程带的大小会增加[Haidar K,Pijau- Dier-Cabot G,Dube JF,Loukili A(2005)Mater Struct 38:201-210]。第二部分分析了蠕变-断裂相互作用。基于麦克斯韦模型发现,由于界面与试样其余部分之间的相互作用,加工区的大小取决于裂缝的传播速度和界面中的力分布。与蠕变实验中观察到的过程区尺寸的减小相比,与时间独立过程中的过程区尺寸的减小相比,所提出的模型证明了界面比材料其余部分的粘性要小。

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