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.
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.
出处
《力学与实践》
CSCD
北大核心
2004年第5期36-40,共5页
Mechanics in Engineering
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
linear elastic fracture, wedge body, stress sin- gularities, angular distribution function, non-conforming finite element method
