论文部分内容阅读
文献[1,2]证明了在等参数奇异元周围的过渡元中,应变除了具有r~(-1/2)奇异项以外,还有r~(-1)的奇异项,因此认为采用过渡元并不能提高应力强度因子的计算精度。本文证明,在等参数奇异元外面的普通梯形等参数单元中,应变同样具有r~(-1)的奇异项,但是并没有r~(-1/2)的奇异项;然后对文献[1,2]中的数值结果进行了分析。分析表明,在
The literature [1,2] proves that in the transition elements around singular elements with equal parameters, the strain has singular items of r~(-1) in addition to the r~(-1/2) singular terms, so it is considered that the transition is adopted. Yuan does not improve the accuracy of the stress intensity factor calculation. In this paper, it is proved that in the ordinary trapezoidal equal-parameter unit outside the isoparametric singular element, the strain also has singular items of r~(-1), but there is no singular item of r~(-1/2); then the literature[1 The numerical results in [2] were analyzed. Analysis shows that