摘要
采用一种新型杂交元方法研究了多边形孔相互干涉条件下的奇异性应力场问题。首先运用多变量变分原理构造一种超级切口尖端单元,其中,假定的应力场和位移场变量是利用奇异性场数值特征解推导出来的。尔后将该超级切口尖端单元与传统4节点杂交应力元耦合在一起,即可建立起一种分析含任意多边形孔弹性结构分析的新型有限元模型。最后用该模型考察了双菱形孔和双正方形孔的奇异性应力干涉问题。结果表明:本模型使用单元数少且精度高,与传统有限元法和积分方程方法相比,该模型更具有通用性和高效性。
A new hybrid finite element method is proposed to compute singular field near the hole corner of two interaction polygonal holes in an infinite elastic plate.Firstly,a super corner element is constructed to determine the strength of the singular field by using the varied principle of functional in which independently assumed stress and displacement variables are extracted from numerical eigensolusions.Then,the super corner tip element is conjunction with the conventional 4-node quadrilateral elements to establish a new FEM model.Finally,two numerical examples are given for an infinite plate containing interacting double diamond or square holes.The numerical results show that present method,which has its popularity and efficiency,gains satisfactory results with fewer elements and higher accuracies.
出处
《华东交通大学学报》
2011年第3期26-30,共5页
Journal of East China Jiaotong University
基金
国家自然科学基金项目(10662004
51065008)
江西省自然科学基金项目(2010GZW0013)
关键词
弹性体
双多边形孔
广义应力强度因子
杂交元法
elasticity
double polygonal holes
generalized stress intensity factors
hybrid finite element method
