裂纹分析中的单节点二次边界元  

BEM WITH SINGLE-NODE QUADRATIC ELEMENT IN CRACK ANALYSIS

作　　者：柯黎[1] 王乘[1] 詹福良[2] 

机构地区：[1]华中科技大学力学系,武汉430074 [2]北京航空航天大学固体力学研究所,北京100083

出　　处：《固体力学学报》2002年第1期54-64,共11页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金 (19872 0 11)资助项目

摘　　要：提出一种新的边界单元 :单节点二次元 .利用这种单元 ,位移及其沿边界的切向导数在正规单元端点的连续条件自然得到满足 .单节点二次元能很好地模拟角点处面力多值条件 .特殊裂纹尖端单节点二次单元包括近裂纹尖端位移近似级数展开第二项 .由于每个单元只有一个节点 ,计算程序大大简化 .对直裂纹、圆弧裂纹和边裂纹进行了计算 .数值计算结果表明 ,单节点二次边界单元计算精度高 。A single-node quadratic element (SNQE) is proposed in this work. The continuous conditions of displacements and their tangential derivatives at points between regular elements are automatically satisfied. The multi-value tractions at a corner point can be modeled appropriately by the use of SNAQE. Special crack-tip SNQE includes the second term of the asymptotic series expansion of the displacement fields near the crack-tip. Since there is only one field node in one element, the programming is greatly simplified. The numerical tests are taken for problems of internal straight cracks, circular arc cracks, and edge cracks. Highly accurate results are obtained for the tests. The convergence for all cases is also quite well.

关 键 词：边界元 断裂力学 单节点二次元 弹性力学 

分 类 号：O346.1[理学—固体力学]