| 夹杂尖端奇异性场的新型杂交元分析 |
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| 引用本文： | 平学成,谢基龙,陈梦成,李强. 夹杂尖端奇异性场的新型杂交元分析[J]. 北京交通大学学报(自然科学版), 2007, 31(4): 5-9 |
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| 作者姓名： | 平学成 谢基龙 陈梦成 李强 |
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| 作者单位： | 北京交通大学,机械与电子控制工程学院,北京,100044;华东交通大学,机电工程学院,南昌,330013;北京交通大学,机械与电子控制工程学院,北京,100044;华东交通大学,机电工程学院,南昌,330013 |
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| 基金项目： | 国家自然科学基金 , 江西省教育厅科研项目 |
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| 摘 要： | 提出了一种夹杂尖端邻域杂交元模型,与全域杂交应力元结合,求解夹杂尖端的奇性应力场的数值解. 利用高次内插有限元法求解特征问题, 得到反映夹杂尖端场奇异性状况的特征值和特征角分布函数;利用Hellinger-Reissner 变分原理以及特征问题的解,推导夹杂尖端邻域的单元矩阵.模型只考虑夹杂尖端邻域的边界, 避免了在夹杂尖端划分高密度网格. 采用正方形夹杂作为算例, 数值结果显示了良好的精确性.
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| 关 键 词： | 断裂力学 杂交元 夹杂 高次内插有限元法 奇异性 |
| 文章编号： | 1673-0291（2007）04-0005-05 |
| 修稿时间： | 2005-11-15 |
Analysis of Singular Stress Field Around the Inclusion Corner Tip Based on A Novel Hybrid Finite Element Method |
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| PING Xue-cheng,XIE Ji-long,CHEN Meng-cheng,LI Qiang. Analysis of Singular Stress Field Around the Inclusion Corner Tip Based on A Novel Hybrid Finite Element Method[J]. JOURNAL OF BEIJING JIAOTONG UNIVERSITY, 2007, 31(4): 5-9 |
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| Authors: | PING Xue-cheng XIE Ji-long CHEN Meng-cheng LI Qiang |
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| Affiliation: | 1. School of Mechanical and Electronic Control Engineering, Beijing Jiaotong University, Beijing 100044, China; 2. School of Mechanical and Electronical Engineering, East China Jiaotong University, Nanchang 330013, China |
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| Abstract: | A new super corner-tip hybrid element model is proposed to solve the singular stress fields near the corner tip of inclusion together with an assumed hybrid stress finite element model.The establishment of the super corner tip element model consists of two steps:(1) an ad doc finite element method is developed to determine the characteristic problems;(2) results of step 1 are substituted into Hellinger-Reissner variational principle,through which element matrix of the super corner tip element is deduced.This new model only considers the boundary of corner tip domain,thus can effectively avoid high dense meshes near the corner tip.The model is verified by a benchmark example,and the numerical results of singular stress fields exhibit good accuracy. |
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| Keywords: | fracture mechanics hybrid finite element inclusion ad doc finite element method singularity |
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