摘要
文章介绍了传统的蜕化奇异等参元法和一种新型数值外插法求解裂尖应力强度因子 (K因子 )的基本过程 ,讨论了两种方法插值基础的显著区别。结合平面应力裂纹问题对数值外插法的线性插值基础进行了论证。在此基础上 ,研究了两种方法的理论误差 ,发现该文提出的数值外插法比传统的蜕化奇异等参元法精度高一阶。并且数值外插法能以一定的方式决定不同裂纹问题的最优的裂尖单元尺寸。
In this paper,the conventional singular quadratic isoparametric element method and a new numerical extrapolated method for calculating the stress intensity factor(SIF) are introduced.The marked differences in the extrapolated basis between the two methods are discussed.The plane stress fracture problem is chosen to prove the linear theoretical basis of the numerical extrapolated method.Then,the theoretical errors of both methods are evaluated,and the numerical extrapolated method shows better accuracy.The optimum size of crack tip element for different crack problems can be obtained from the new method.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
2000年第6期962-965,共4页
Journal of Hefei University of Technology：Natural Science
关键词
线弹性断裂力学
数值外插法
蜕化等参元
应力强度因子
插值
误差估计
the numerical extrapolated method
the singular quadratic isoparametric element
the stress intensity factor(SIF)
