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裂纹扩展独立于网格的一种有限元单元子划分方法
引用本文:潘清,周储伟.裂纹扩展独立于网格的一种有限元单元子划分方法[J].固体力学学报,2013,34(1):13-19.
作者姓名:潘清  周储伟
作者单位:1. 南京航空航天大学2. Nanjing University of Aeronautics and Astronautics
摘    要:提出了一种有限元模拟裂纹扩展的单元子划分结合子结构的方法。本方法中,裂纹可以进入或穿过一个单元,或沿单元的边界扩展,因此裂纹可以沿任意路径扩展而不受初始网格的限制。对上述几类包含裂纹的单元按照裂纹的路径进行子划分,覆盖一条裂纹的所有子划分单元就组成了一个子结构,子结构规模随裂纹的扩展而增大。子结构中因单元子划分而新增的结点自由度,通过自由度的凝聚用初始网格结点的自由度表示,因此结构整体分析的总自由度不变。以上述方法为基础建立了裂纹萌生和扩展的准则。用本文的方法分析了单(双)材料无限大平面中心(界面)裂纹的裂尖场,验证了本文方法的精度,并模拟了颗粒复合材料中微裂纹在颗粒、基体和界面中逐步扩展的过程,考核了本文方法对复杂裂纹扩展问题模拟的适用性。

关 键 词:裂纹扩展  单元子划分  子结构  网格重构  交互积分  
收稿时间:2011-10-25

A FINITE ELEMENT SUB-PARTITION METHOD FOR SIMULATING CRACK EXTENSION INDEPENDENT TO GLOBAL MESH
Qing Pan , Chuwei Zhou.A FINITE ELEMENT SUB-PARTITION METHOD FOR SIMULATING CRACK EXTENSION INDEPENDENT TO GLOBAL MESH[J].Acta Mechnica Solida Sinica,2013,34(1):13-19.
Authors:Qing Pan  Chuwei Zhou
Abstract:A numerical method combining finite element sub-partition and substructure is developed to simulate crack extension. In this method, crack is allowed to enter or separate an element or to extend along element side. Therefore, crack can extend along any path without the limitation of original mesh. The elements involving one crack are sub-partitioned according to the crack path and they are constructed a sub-structure. The size of substructure expands when the crack propagates. The additional freedoms introduced by element sub-partition are expressed by the freedoms of original mesh nodes via agglomeration of stiffness matrix. Therefore the total freedom dimension keeps constant whether cracks extend or new cracks appear. The crack initiation and extension laws are suggested based upon this sub-partition algorithm. This method is used to calculate the crack tip fields of central crack in infinite plane for both mono-material and bi-material to investigate its accuracy. It is further used to simulate micro-scale crack extension in particle, matrix and particle/matrix interface in a particle reinforced composite to prove its adaptability for simulating of complex path cracking.
Keywords:
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