HRR特異要素を用いたき裂の応力拡大係数の有限要素解析(G03-4 応力解析(2),G03 材料力学)

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In analyzing a cracked solid by means of the finite element method, the method of using singular element has the advantage of fewer elements in the neighborhood of the tip of crack. Only singular elements which have either O(r^<-1/2>) singularity or O(r^<-1>) singularity have been developed so far. In our previous research, the singular elements which have another singularity of O(r^<-1/2>)〜O(r^<-1>) were developed and named as HRR singular elements. These HRR singular elements whose shape functions are linear and mapping functions are l-th order of polynomial are belong to the so-called super-parametric elements. At the first step, for examining the success of these special elements, we analyzed the stress intensity factor of a circular crack. Developing the transition element which connects the HRR singular element to the ordinary isoparametric element, and adjusting the proportion of the size of the singular elements to the lenght of the crack, the present results approach the exact solution. Consequently, HRR singular elements may be available to the crack problem in the elastic solid.
社団法人日本機械学会の論文
2004-09-04