摘要
提出了一个新的、基于位移的、分析平面楔形体尖端奇性应力场和位移场问题的非协调元 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有几点不同 :1)导出公式的出发点不同 ;2 )单元形式为非协调元 ;3)楔形体尖端邻域内的位移场假定没有采用奇异变换技术 .文中运用该方法给出了若干有关任意形状楔形体尖端附近近似奇性应力场和位移场分布的算例 ,其中 ,当然包括最重要的裂纹情形 ,此时楔形体张开角度为 180°.所有的计算结果表明 。
In this paper a new non confirming finite element 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 deduces the formula is different. 2) The form of the element is non confirming element. 3) 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 stress fields and displacements fields surrounding the arbitrary wedge tip including the most important crack case when the wedge angle if 360 degrees. All calculations show that the present method needs fewer elements, and yields more accurate results than all the previous available methods .
出处
《华东交通大学学报》
2001年第4期6-11,共6页
Journal of East China Jiaotong University
