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Meshless local Petrov-Galerkin method with complex variables for elasticity

Yang Xiu-Li Dai Bao-Dong Li Zhen-Feng

Meshless local Petrov-Galerkin method with complex variables for elasticity

Yang Xiu-Li, Dai Bao-Dong, Li Zhen-Feng
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  • Abstract views:  1984
  • PDF Downloads:  627
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Publishing process
  • Received Date:  05 May 2011
  • Accepted Date:  25 June 2012
  • Published Online:  05 March 2012

Meshless local Petrov-Galerkin method with complex variables for elasticity

  • 1. Department of Engineering Mechanics, Taiyuan University of Science and Technology, Taiyuan 030024, China;
  • 2. College of Transportation and Logistics, Taiyuan University of Science and Technology, Taiyuan 030024, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 51078250).

Abstract: In this paper, the shape functions are obtained by the moving least-squares method with complex variable (MLSCV). The advantages of MLSCV are that the approximation function of a two-dimensional (2D) problem is formed with one-dimensional (1D) basis function, and the number of the undetermined coefficients is reduced, so it effectively improves the computational efficiency. Based on the MLSCV and meshless local Petrov-Galerkin method, the essential boundary conditions are imposed by the penalty method and the corresponding discrete equations are derived, then a meshless local Petrov-Galerkin method with complex variables is presented for 2D elasticity problems. Some examples given in this paper demonstrate the effictiveness of the present method.

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