摘要
提出了一个基于位移的分析尖劈端部奇性位移场和应力场反平面问题的非协调元特征法.该方法与过去原有求解裂纹尖端近似场的有限元特征法有几点不同:(1)导出虚功原理的出发点为二维扇区的散度原理;(2)有限元的单元形式为非协调元;(3)尖劈端部邻域内的位移场假定没有采用奇异变换技术.运用该方法给出了求解正交各向异性复合材料尖劈端部附近奇性应力指数、奇性位移和应力角分布函数的算例.计算结果表明,该方法较原来的有限元特征法所用的单元少而且精度高.
A new non-confirming finite element eigenanalysis method based on displacement is developed to study the antiplane problems of singular displacement and stress fields surrounding a wedge tip. Some illustrative examples of anisotropic multi-material wedges are given in which the stress singularities and the angular variations of singular displacement and stress fields surrounding the tips of wedges and junctions are solved. All calculations show that the present method needs fewer elements, but can give more accurate results than the original finite element eigenanalysis method.
出处
《固体力学学报》
CAS
CSCD
北大核心
2005年第2期193-198,共6页
Chinese Journal of Solid Mechanics
基金
江西省自然科学基金项目(0350062)资助.
关键词
线弹性断裂
反平面剪切
奇性应力指数
复合材料
非协调元有限元法
linear elastic fracture, antiplane shear, stress singularities, multi-material, non-confirming finite element method
