An Integration Procedure for Meshless Methods Using Kriging Interpolations

作者: M Gandomkar , SH Dibajian , M Farzin , SH Hashemolhoseini

DOI: 10.17485/IJST/2013/V6I1.10

关键词:

摘要: A new method is presented in this paper to evaluate the integrals of Galerkin weak form meshless methods without any background mesh. Simple Kriging interpolation has been used obtain weights integration points. Then, evaluated using introduced In required points can be same as nodal The numerical results show efficiency technique 2D elasticity problems.

参考文章(22)
Y. T. Gu, G. R. Liu, A Meshless Local Petrov-Galerkin (MLPG) Formulation for Static and Free Vibration Analyses of Thin Plates Cmes-computer Modeling in Engineering & Sciences. ,vol. 2, pp. 463- 476 ,(2001) , 10.3970/CMES.2001.002.463
Satya N. Atluri, Shengping Shen, The meshless local Petrov-Galerkin (MLPG) method Tech Science Press. ,(2002)
Ted Belytschko, Wing Kam Liu, Brian Moran, Khalil Elkhodary, Nonlinear Finite Elements for Continua and Structures ,(2000)
K. Y. Lam, Q. X. Wang, Hua Li, A novel meshless approach - Local Kriging (LoKriging) method with two-dimensional structural analysis Computational Mechanics. ,vol. 33, pp. 235- 244 ,(2004) , 10.1007/S00466-003-0524-2
Y.T. Gu, G.R. Liu, A local point interpolation method for static and dynamic analysis of thin beams Computer Methods in Applied Mechanics and Engineering. ,vol. 190, pp. 5515- 5528 ,(2001) , 10.1016/S0045-7825(01)00180-3
P. Krysl, T. Belytschko, Analysis of thin plates by the element-free Galerkin method Computational Mechanics. ,vol. 17, pp. 26- 35 ,(1995) , 10.1007/BF00356476
Guangyao Li, Ted Belytschko, Element‐free Galerkin method for contact problems in metal forming analysis Engineering Computations. ,vol. 18, pp. 62- 78 ,(2001) , 10.1108/02644400110365806
Y. T. Gu, G. R. Liu, A meshless local Petrov-Galerkin (MLPG) method for free and forced vibration analyses for solids Computational Mechanics. ,vol. 27, pp. 188- 198 ,(2001) , 10.1007/S004660100237
G. R. Liu, Y. T. Gu, Comparisons of two meshfree local point interpolation methods for structural analyses Computational Mechanics. ,vol. 29, pp. 107- 121 ,(2002) , 10.1007/S00466-002-0320-4