【作者】 姚伟岸； 胡小飞；

【Author】 YAO Wei-an,HU Xiao-fei State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian,116024 China

【机构】 大连理工大学工业装备结构分析国家重点实验室；

【摘要】 利用辛对偶体系所提供的扇形域弹性问题的辛本征展开解与特解,本文构造出具有任意高阶精度的一类解析奇异单元。将其与常规单元相结合,奇异单元可用于裂纹表面受任意分布荷载作用的含裂纹问题的数值分析,并可直接给出应力强度因子。数值算例表明本方法具有很高的精度,是分析含应力奇异性问题的一类非常有效的数值分析方法。更多还原

【Abstract】 Based on the symplectic eigen-solutions and special solutions of the sectorial wedge in plane elasticity,an analytical singular finite element which possesses arbitrary order accuracy is presented in this paper.Combining with conventional FEM,this singular element is available to solve crack problems under arbitrary tractions,and the mixed-mode stress intensity factors can be specified directly.Numerical results show that the present method makes a highly accuracy,and that it is effective one for numerical analysis of problem with stress singularities.更多还原