Crack propagation criteria in three dimensions using the XFEM and an explicit–implicit crack description
Crack propagation criteria in three dimensions using the XFEM and an explicit–implicit crack description
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DOI：
10.1007/s10704-012-9762-7
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发表时间：
2012-10
影响因子：
2.5
通讯作者：
Malak Baydoun;T. Fries
中科院分区：
文献类型：
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作者：
Malak Baydoun;T. Fries
本文在扩展有限元框架下研究了三维断裂力学中的扩展准则。本文中的裂纹通过Fries和Baydoun（Int J Numer Methods Eng，2011）中提出的混合显式-隐式方法来描述。在这种方法中，裂纹的更新是基于一个显式的裂纹表面网格，它允许不同的扩展标准的调查。与此相反，对于位移，应力和应变的计算通过XFEM，一个隐式的水平集函数的描述。实现了最大周向应力准则、最大应变能释放率准则、最小应变能密度准则和材料力准则。针对非对称弯曲、扭转以及弯扭组合试验情况，研究了不同准则下的传播路径，并进行了比较。结果表明，最大应变能释放率准则和最大周向应力准则的计算结果最优。
This paper studies propagation criteria in three-dimensional fracture mechanics within the extended finite element framework (XFEM). The crack in this paper is described by a hybrid explicit–implicit approach as proposed in Fries and Baydoun (Int J Numer Methods Eng, 2011). In this approach, the crack update is realized based on anexplicitcrack surface mesh which allows an investigation of different propagation criteria. In contrast, for the computation of the displacements, stresses and strains by means of the XFEM, animplicitdescription by level set functions is employed. The maximum circumferential stress criterion, the maximum strain energy release rate criterion, the minimal strain energy density criterion and the material forces criterion are realized. The propagation paths from different criteria are studied and compared for asymmetric bending, torsion, and combined bending and torsion test cases. It is found that the maximum strain energy release rate and maximum circumferential stress criterion show the most favorable results.