›› 2003, Vol. 24 ›› Issue (1): 21-24.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Meshless method for numerical calculation of geotechnical engineering and its uauto-arrangement of discrete nodes

CAI Yong-chang, ZHU He-hua   

  1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China
  • Received:2002-01-10 Online:2003-02-10 Published:2014-08-27

PDF (PC)

1488

Abstract: The natural element method(NEM), which can possess the characters and advantages of finite element method and other meshless method, is a perfect meshless method in the numerical analysis of geotechnical engineering. In NEM, the whole interpolations are constructed with respect to the Voronoi tessellation of the given point, the essential boundary conditions can be exactly enforced, and the time cost is little higher than the finite element method. The basic theory and application of NEM are introduced. According to the speciality of geotechnical engineering, the auto-arrangement method of discrete nodes is also given for the analysis of meshless method.

Key words: meshless, natural element method, Voronoi diagram

CLC Number: 

  • O241.82
  • Please send e-mail to pingzhou3@126.com if you would like to read full paper in English for free. Parts of our published papers have English translations.
[1] HUANG Mu, GU Lei-yu, LI Xin, LI Chun-hai,. Automatic 3D stratigraphic modeling method based on Voronoi diagram [J]. , 2017, 38(S1): 455-462.
[2] LI Shu-cai, SUN Chao-qun, XU Zhen-hao, LI Li-ping, ZHANG Yan-huan, WU Jing, ZHOU Lun. Numerical simulation of deformation localization for defective rock based on meshless method [J]. , 2016, 37(S1): 530-536.
[3] MA Yong-zheng , CAI Ke-jian , ZHENG Hong，. An analysis of discontinuous deformation with mixed multiple deformation modes [J]. , 2016, 37(3): 867-874.
[4] LI Shu-chen ，WANG Zhao-qing ，YUAN Chao . Barycentric interpolation meshless method for solving rock and soil seepage free surface problems [J]. , 2013, 34(7): 1867-1873.
[5] MA Wen-tao , LI Ning , SHI Jun-ping . An enriched radial point interpolation meshless method based on partition of unity [J]. , 2012, 33(12): 3795-3800.
[6] MA Wen-tao ，SHI Jun-ping ，LI Ning . A new meshless numerical method for simulating frictional contact problems [J]. , 2012, 33(10): 3145-3150.
[7] ZENG Xiang-yong，PENG Chuan-hai，DENG An-fu. Analysis of Kirchhoff plate on Winkler foundation by reproducing kernel particle method [J]. , 2010, 31(S2): 98-103.
[8] SHEN Zhao-wu, ZHU He-hua, WANG Wei-dong, WU Jiang-bin. Analysis of pile-raft foundation located in inhomogeneous soil based on Voronoi diagram algorithm [J]. , 2010, 31(4): 1227-1232.
[9] XIA Ping, LONG Shu-yao, HU Wei-jun. Bending analysis of moderately thick plates on elastic foundation by meshless local radial point interpolation method [J]. , 2010, 31(2): 656-660.
[10] ZHAO Ming-hua, LIU Dun-ping, ZOU Xin-jun. Analysis of pile-soil interaction under horizontal load by meshless method [J]. , 2008, 29(9): 2476-2480.
[11] MA Yong-zheng , ZHENG Hong , LI Chun-guang . Applying natural neighbor interpolation to discontinuous deformation analysis of block system [J]. , 2008, 29(1): 119-124.
[12] LI Shu-chen, LI Shu-cai, SUI Bin, ZHU Wei-shen. The meshless method for analyzing seepage of rockmass [J]. , 2008, 29(1): 256-260.
[13] LU Bo, DING Xiu-li, WU Ai-qing. Study of the adaptive natural element method — adaptive refinement [J]. , 2007, 28(S1): 295-299.
[14] LI Xiao-chun , CHEN Jian-ping , SHI Bin-fei , FAN Jian-hua,. A study on the meshless method on seepage of intersected fractures [J]. , 2007, 28(S1): 371-374.
[15] SUN Hai-tao, WANG Yuan-han. An adaptive numerical integration and its program based on nodes calculation [J]. , 2007, 28(5): 995-1000.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] WEI Li，CHAI Shou-xi，CAI Hong-zhou，WANG Xiao-yan，LI Min3，SHI Qian. Research on tensility of wheat straw for reinforced material[J]. , 2010, 31(1): 128 -132 .
[2] . Numerical implementation of discontinuities in dual media 3D model for thermo-hydro-mechanical coupling[J]. , 2010, 31(2): 638 -644 .
[3] FANG Zhi-ming, LI Xiao-chun, LI Hong, CHEN Han-qiu. Feasibility study of gas mixture enhanced coalbed methane recovery technology[J]. , 2010, 31(10): 3223 -3229 .
[4] LEI Jin-bo，CHEN Cong-xin. Research on load transfer mechanism of composite foundation of rigid pile with cap based on hyperbolic model[J]. , 2010, 31(11): 3385 -3391 .
[5] CHEN Xu-guang，ZHANG Qiang-yong. Mechanism analysis of phenomenon of zonal disintegration in deep tunnel model test under high geostress[J]. , 2011, 32(1): 84 -90 .
[6] ZHANG Cheng-ping，ZHANG Ding-li，LUO Jian-jun，WANG Meng-shu，WU Jie-pu. Remote monitoring system applied to the construction of metro station undercrossing existing metro tunnel[J]. , 2009, 30(6): 1861 -1866 .
[7] TANG Shi-bin, TANG Chun-an, LI Lian-chong, ZHANG Yong-bin. Investigation on time-dependent deformation of tunnel induced by humidity diffusion[J]. , 2011, 32(S1): 697 -0703 .
[8] HUANG Fu，YANG Xiao-li，ZHAO Lian-heng，HUANG Kan. Upper bound solution of ultimate pullout capacity of strip plate anchor based on Hoek-Brown failure criterion[J]. , 2012, 33(1): 179 -184 .
[9] LIU Xiao-li , LI Bai . Analysis of supporting mechanism of micro-steel-pipe piles in rock foundation pit[J]. , 2012, 33(S1): 217 -222 .
[10] XU Yan , ZHANG Jing-xian , HE Jing , DIAO Yu . Feasibility research of application of planting reinforcing bar technique for static load test of foundation pile[J]. , 2012, 33(S1): 309 -314 .
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd