›› 2011, Vol. 32 ›› Issue (10): 3065-3070.

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Discussion on “mass-conservation” in numerical manifold method

LIN Xing-chao1, WANG Xiao-gang1, WANG Yu-jie1, LI Xu2, HAN Xin-ye3   

  1. 1. Department of Geotechnical Engineering, China Institute of Water Resources and Hydropower Research, Beijing 100048, China; 2. School of Civil Engineering &Architecture, Beijing Jiaotong University, Beijing 100044, China; 3. School of Transportation Science and Engineering, Beihang University, Beijing 100191, China
  • Received:2010-09-07 Online:2011-10-10 Published:2011-10-13

PDF (Chinese)

1945

Abstract: Numerical manifold method (NMM) is a numerical system which contains manifold method, finite elements and discontinuous deformation analysis (DDA). NMM can return to finite elements when physical elements and mathematical elements in NMM are superposition completely; and contact theory is removed. It will be verified by plate compression numerical experiment in the paper. In previous NNM, the problem of mass-conservation is neglected, which the weight of the physical elements will change with changes in its volume; so there are certain error in the calculation results. Mass-conservation can be realized by changing the elements density in the process of calculation; that will perfect the theoretical basis of numerical manifold methods.

Key words: numerical manifold method(NMM), finite elements(FE), discontinuous deformation analysic(DDA), stiffness matrix, mass- conservation

CLC Number: 

  • O 241
[1] ZHOU Xiong-xiong, CHI Shi-chun, JIA Yu-feng, XIE Yun-fei, . Detailed simulation method for filling process of high earth and rockfill dams [J]. Rock and Soil Mechanics, 2018, 39(S2): 443-450.
[2] YANG Shi-kou, ZHANG Ji-xun, REN Xu-hua,. Study of three-dimensional crack propagation based on numerical manifold method [J]. , 2018, 39(S1): 488-494.
[3] FU Xiao-dong，SHENG Qian，ZHANG Yong-hui，LENG Xian-lun, . High efficient algorithms for solving linear equations in discontinuous deformation analysis [J]. , 2016, 37(4): 1171-1178.
[4] NING Xia-yuan ，DONG Cheng ，LI Zhi-yong ，LUO Wei-hua ，MEI Zuo-zhou ，LENG Wu-ming，. A FEM-based method to implement the model of dynamic resilient modulus [J]. , 2015, 36(4): 1182-1188.
[5] ZHANG Zhi-guo , ZHANG Meng-xi , WANG Wei-dong,. Analysis of soil vertical additional loads induced by pipe jacking construction [J]. , 2014, 35(S2): 121-128.
[6] FENG You-quan，YANG Min，CHEN Jun-ling. Improvement of finite element method for beam on elastic foundation with linearly distributed coefficient of subgrade reaction [J]. , 2014, 35(10): 3027-3034.
[7] LU Zheng , WANG Chang-bo , FU Jian-jun , ZHAN Yong-xiang . Research on influence depth of road subgrade induced by vehicle loads [J]. , 2013, 34(2): 316-321.
[8] LIANG Jian-wen，FENG Ling-xiang，BA Zhen-ning. Diffraction of plane P waves around a local fault [J]. , 2011, 32(1): 244-252.
[9] CHU Xi-hua, XU Yuan-jie, ZHANG Ming-long, YU Cun. Numerical implementations and discussion on hypoplastic model for granular materials based on ABAQUS [J]. , 2009, 30(S1): 215-219.
[10] JIA Rui-hua, YANG Jun-sheng, QU Shi-qin. Hardening function of two-parameter twin shear unified failure criterion [J]. , 2009, 30(1): 215-220.
[11] ZHONG Yang, Geng Li-tao. Explicit solution of multiplayer elastic plane by exact stiffness matrix method [J]. , 2008, 29(10): 2829-2832.
[12] CHAI Hua-you , BAI Shi-wei , LIU Ming-gui , LU Ying-fa . Analysis of behaviours of Rayleigh waves by stiffness matrix method [J]. , 2006, 27(2): 209-213.
[13] PENG Zi-qiang , GE Xiu-run，. Suggestion to the choice of physical cover functions in numerical manifold method [J]. , 2004, 25(4): 624-627.
[14] LI Shu-chen , CHENG Yu-min , LI Shu-cai，. A dynamic memory allocation method for global stiffness matrix in FEM and its application to geotechnical engineering [J]. , 2004, 25(4): 646-650.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] HE Si-ming, WU Yong, LI Xin-po. Research on mechanism of uplift rock-socketed piles[J]. , 2009, 30(2): 333 -337 .
[2] LIU Qing-bing，XIANG Wei，ZHANG Wei-feng，CUI De-shan. Experimental study of ionic soil stabilizer-improves expansive soil[J]. , 2009, 30(8): 2286 -2290 .
[3] DU Wen-qi, WANG Gang. Statistical analysis of earthquake-induced sliding displacements of earth structures[J]. , 2011, 32(S1): 520 -0525 .
[4] YAN Zhi-hua, LIU Zhi-wei, LIU Hou-jian. Treatment and parameter selection of high slope of a power plant located in the terraces of Yellow River[J]. , 2009, 30(S2): 465 -468 .
[5] XU Zhen-hao , LI Shu-cai , LI Li-ping , HOU Jian-gang , SUI Bin , SHI Shao-shuai. Risk assessment of water or mud inrush of karst tunnels based on analytic hierarchy process[J]. , 2011, 32(6): 1757 -1766 .
[6] JIANG Quan ，FENG Xia-ting ，ZHOU Hui ，ZHAO Yang ， XU Ding-ping ，HUANG Ke ，JIANG Ya-li. Discussion of strength value for interlayer shear belt[J]. , 2011, 32(11): 3379 -3386 .
[7] WEN Shi-qing , LIU Han-long , CHEN Yu-min. Analysis of load transfer characteristics of single grouted gravel pile[J]. , 2011, 32(12): 3637 -3641 .
[8] LI Shun-qun ，GAO Ling-xia ，CHAI Shou-xi. Significance and interaction of factors on mechanical properties of frozen soil[J]. , 2012, 33(4): 1173 -1177 .
[9] ZHONG Sheng ，WANG Chuan-ying ，WU Li-xin ，TANG Xin-jian ，WANG Qing-yuan. Borehole radar response characteristics of point unfavorable geo-bodies： forward simulation of its surrounding rock and filling condition[J]. , 2012, 33(4): 1191 -1195 .
[10] MENG Zhen, CHEN Jin-jian, WANG Jian-hua, YIN Zhen-yu. Study of model test on bearing capacity of screw piles in sand[J]. , 2012, 33(S1): 141 -145 .
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