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Modelling of cracks with frictional contact based on peridynamics
Theoretical and Applied Fracture Mechanics ( IF 5.0 ) Pub Date : 2021-09-04 , DOI: 10.1016/j.tafmec.2021.103082
Wei Lu 1 , Selda Oterkus 2 , Erkan Oterkus 2 , Dagang Zhang 1
Affiliation  

In this study, a two-dimensional peridynamic contact model is proposed to model the propagation of frictional crack within the peridynamic framework. Compared with traditional numerical method in peridynamics, no additional algorithm is needed for implementing the contact constraint. The geometry of the crack can be easily described by the rupture of bond without any extra enrichment functions. In this model, the contact force is regarded as a short-range force and only related to the stretch of the virtual bond between the disconnected material points. The sliding of the plates under compression and the plate with a pre-existing crack under compressive loading have been simulated to validate the accuracy of the peridynamic contact model. By introducing the bond skew failure criterion, the propagation of the frictional crack is modelled as well. The growth path of the crack matches the numerical result obtained based on the phase field method. Therefore, peridynamics can be demonstrated as an effective numerical tool to solve the frictional contact problem.



中文翻译:

基于近场动力学的摩擦接触裂纹建模

在这项研究中,提出了一个二维近场动力学接触模型来模拟近场动力学框架内摩擦裂纹的传播。与近场动力学中的传统数值方法相比,不需要额外的算法来实现接触约束。裂纹的几何形状可以很容易地通过键的断裂来描述,而无需任何额外的富集函数。在该模型中,接触力被视为短程力,仅与断开的材料点之间的虚拟键的拉伸有关。对受压板的滑动和受压载荷下已有裂纹的板进行了模拟,以验证近场动力学接触模型的准确性。通过引入粘结偏斜破坏准则,摩擦裂纹的传播也被建模。裂纹的生长路径与基于相场法得到的数值结果相匹配。因此,近场动力学可以被证明是解决摩擦接触问题的有效数值工具。

更新日期:2021-09-10
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