A complex variable meshless method for fracture problems

查看全文 作　　者：CHENG Yumin1 & LI Jiuhong2 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;2. Department of Building Engineering, Xi’an University of Technology, Xi’an 710048, China

出　　处：《Science China(Physics,Mechanics & Astronomy)》索引2006年第49卷第1期,共14页

摘　　要：Based on the moving least-square (MLS) approximation, the complex variable moving least-square approximation (CVMLS) is discussed in this paper. The complex variable moving least-square approximation cannot form ill-conditioned equations, and has greater precision and computational efficiency. Using the analytical solution near the tip of a crack, the trial functions in the complex variable moving least-square approxi- mation are extended, and the corresponding approximation function is obtained. And from the minimum potential energy principle, a complex variable meshless method for fracture problems is presented, and the formulae of the complex variable meshless method are obtained. The complex variable meshless method in this paper has greater precision and computational efficiency than the conventional meshless method. Some examples are given. 关键词：MOVING least-square approximation, COMPLEX VARIABLE MOVING least-square approximation, MESHLESS method, COMPLEX VARIABLE MESHLESS method, fracture.

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A complex variable meshless method for fracture problems

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