一种新的准谐调有限元列式方法及在断裂力学中的应用
A NEW FORMULATED METHOD OF QUASI-COMPATIBLE FINITE ELEMENT AND ITS APPLICATION IN FRACTURE MECHANICS
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摘要: 本文根据奇异场具有的局部性质,改进了等参元的位移模式,提出了一种新的准谐调元列式方法,可用于解决工程中各种奇异分布问题,尤其是脆性断裂问题,构造了奇异准谐调元sQCE,从各特种角度分析了单元特性,并对多种算例进行了计算,比较。Abstract: Based on the local properties of singular field, the displacement pattern of isoparametric element is improved and a new formulated method of quasi-compatible finite element is proposed in this paper. This method can be used to solve various engineering problems containing singular distribution, especially, the singular field existing at the tip of cracks. The singu-lar quasi-compatible element (SQCE) is constructed. The characteristics of the element arc analyzed from various angles and many calculation ex...