各向异性复合材料尖劈和接头端部奇性场研究

提出了一个新的、基于位移的、分析平面尖劈端部奇性应力场和位移场问题的高次内插FE特征分析法.该方法与过去原有求解裂纹端部近似场的有限元特征分析方法有几点不同:(1)导出公式的出发点不同;(2)单元形式为高次内插单元;(3)尖劈端部邻域内的位移场假定没有采用奇异变换技术.运用高次内插FE特征法求解各向异性尖劈和接头端部附近的奇性应力指数以及位移和应力的角分布函数,并且给出了若干算例.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.

Reserach of Singular States in Tips of Anisotropic Multi-Material Wedges and Junctions

In this paper, a new ad hoc FE eigenanalysis method based on displacement is developed to study the singular stress and displacement fields surrounding a wedge tip. There are the following several points different from existing finite element eigenanalysis methods for asymptotic fields near the crack tip: (1)The jump_off that educes the formula is different. (2)The form of the element is a ad hoc element. (3)The singular transformation technique is not used in the assumption of displacement fields surrounding the wedge tip. The authors use the ad hoc finite element FE eigenanalysis method to compute the singularities and angular distribution functions of displacements and stresses in anisotropic multi_material wedges and junctions, and give some numerical examples. All calculations show that the present method needs fewer elements, and yields more accurate results than available methods do.