| 周储伟,潘清.模拟裂纹扩展的一种有限元局部动态子划分方法[J].计算力学学报,2012,29(4):499~504 |
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| 模拟裂纹扩展的一种有限元局部动态子划分方法 |
| A dynamic sub-partition strategy of finite element for simulation of crack propagation |
| 投稿时间：2011-04-11 修订日期：2011-09-26 |
| DOI：10.7511/jslx20124005 |
| 中文关键词: 裂纹扩展 数值模拟 子划分 子结构 网格重构 |
| 英文关键词:crack expansion numerical simulation sub partition substructure re-mesh |
| 基金项目:国家自然科学基金(10772078;10472045) 资助项目. |
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| 中文摘要: |
| 提出了一种有限元子划分结合子结构的方法来模拟裂纹扩展问题。提出的方法中,将单元分为三类:被裂纹贯穿的单元,包含裂尖的单元和常规单元。对前两类单元进行子划分,每个单元的归类随裂纹的扩展而动态变化。覆盖一条裂纹的前两类单元子划分后构成一个子结构,子结构也是动态的,跟随裂纹的扩展而逐步扩大。本文的方法可以使裂纹沿任意路径扩展而不受初始网格的限制,裂纹扩展后无需对结构整体的网格重划分,结构整体分析的总自由度也不变。用该方法计算无限大平面中心裂纹的应力强度因子,模拟三点弯梁跨中裂纹的扩展,验证了计算精度,并进一步用该方法模拟了非均质材料中裂纹的扩展,考核了对复杂裂纹扩展问题的适用性。 |
| 英文摘要: |
| A novel numerical algorithm combining finite element sub-partition and substructure was developed to simulate crack extension.In this strategy,all elements are grouped into three sorts:elements separated by a crack,elements containing crack tip and normal elements.The first and second sorts of elements will be sub-partitioned.Grouping of elements are dynamic varying with crack extension.The sub-partitioned elements covering one crack are viewed as a sub-structure.This sub-structure is thereby dynamic also for its element member will increase when the crack expands.In this algorithm,a crack can expand along any path and free from the limit of original mesh,global re-mesh is not needed and the total freedom dimension keeps the same whether cracks extend or initiating new cracks.This method was adopted to calculate the stress intensity factors of central crack in infinite plane and to simulate the crack propagation in three-point bending beam to validate its accuracy.It was further used in inhomogenous material to demonstrate its adaptability for simulating of complex path cracking. |
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