作　　者： ; ; ; ;

机构地区： 北京交通大学机械与电子控制工程学院

出　　处： 《华东交通大学学报》 2005年第1期7-10,共4页

摘　　要： 提出了一个新的、基于位移的、求解各向异性两相材料界面端部奇性应力指数的非协调元特征分析法.该方法与过去的有限元特征分析方法[8]相比的显著特点是:导出虚功原理的出发点不同;有限元单元形式为非协调元;楔形体端部邻域内的位移场假定没有采用奇异变换技术.运用该方法可以直接求解各向异性两相材料界面端部附近奇性应力指数,计算结果表明,本文方法较原有方法使用的单元少而且精度高. In this paper a new non-confirming finite element eigenanalysis method based on displacement is developed to study the stress singularities near the interface edge. Compared with the existing finite element eigenanalysis method^([8]) for asymptotic fields near the crack tip, current method has the following several characteristics: The jump-off that educes the virtue work formula is different; when solving the characteristic formula with FEM, the form of the element is non-confirming element; the singular transformation technique is not used in the assumption of displacement fields surrounding the wedge tip. This paper uses the non-confirming finite element eigenanalysis method to compute the stress singularities near the interface edge of anisotropic multi-materials, the calculations show that present method needs fewer elements, and yields more accurate results than available methods do.

关 键 词： 两相材料 奇性应力指数 非协调元 奇异 求解 虚功原理 各向异性 端部

领　　域： [交通运输工程] [理学] [理学]