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基于非协调元特征法的奇异性问题分析
引用本文:平学成,陈梦成,谢基龙.基于非协调元特征法的奇异性问题分析[J].力学与实践,2004,26(5):36-40.
作者姓名:平学成  陈梦成  谢基龙
作者单位:1. 北京交通大学机电与控制学院,北京,100044;华东交通大学,南昌,330013
2. 华东交通大学,南昌,330013
3. 北京交通大学机电与控制学院,北京,100044
摘    要:提出了一个基于位移的、分析平面尖劈尖端奇性应力场和位移场问题的非协调FE特征分析法.该方法与过去原有求解裂纹尖端近似场的有限元特征分析方法导出公式的出发点不同,并且采用的单元形式为非协调元,尖劈尖端邻域内的位移场假定没有采用奇异变换技术,运用该方法处理了若干尖劈和接头的算例,所有的计算结果表明,该方法较原有方法使用的单元少而且精度高,具有应用广泛性。

关 键 词:非协调元  劈尖  奇性  奇异性  近似  位移场  裂纹尖端  尖劈  单元  接头
修稿时间:2003年6月19日

ANALYSIS OF SINGULARITY PROBLEMS BASED ON NON-CONFORMING FINITE ELEMENT EIGEN-ANALYSIS METHOD
PING Xuecheng CHEN Mengcheng XIE Jilong.ANALYSIS OF SINGULARITY PROBLEMS BASED ON NON-CONFORMING FINITE ELEMENT EIGEN-ANALYSIS METHOD[J].Mechanics and Engineering,2004,26(5):36-40.
Authors:PING Xuecheng CHEN Mengcheng XIE Jilong
Abstract:In this paper a non-conforming finite element eigen-analysis method based on displacement is developed to study the singular stress and displacement fields surrounding a wedge tip. The formula is different from the existing finite element eigen-analysis methods for asymptotic fields near the crack tip. The element is non-conforming one, and the singular transformation technique is not used in the assumption of displacement fields surrounding the wedge tip. This paper presents some illustrative evaluating examples of asymptotic singular fields surrounding arbitrary wedges and junction tips. All calculations show that the present method needs fewer elements, yields more accurate results, and can be applied more extensively.
Keywords:linear elastic fracture  wedge body  stress sin- gularities  angular distribution function  non-conforming finite element method
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