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| RESEARCH ON SUPERPOSED ELEMENT METHOD FOR CRACK ANALYSIS |
| DING Jianxin，WANG Weiming，CHEN Shenghong |
(State Key Laboratory of Water Resources and Hydropower Engineering Science，Wuhan University，
Wuhan，Hubei 430072，China) |
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Abstract Crack is the key factor of structures for the normal operation. A superposed element method(SEM) is proposed for crack analysis. Firstly，the structure containing cracks is divided into two independent meshes. One is the global mesh without cracks，and the other is the local mesh of the crack together with its adjacent zone. Then，the global mesh and the local mesh are superposed together；the finite element format is adopted for the local mesh. Outside of the coverage of the local mesh，the finite element format is adopted for the complete elements；and the numerical manifold technology is adopted for the incomplete elements on the basis of the global mesh. Finally，in order to couple with the global mesh，the penalty stiffness coefficients are adopted at the boundary of local mesh. The case studies show that the preprocessing of the SEM is quite simple，and its calculation precision is relatively high. The proposed method is suitable for the dynamic simulation of crack propagation process.
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Received: 26 December 2011
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| [1] 汪卫明，徐明毅，陈胜宏. 三维裂缝扩展的不变网格有限单元分析方法[J]. 岩石力学与工程学报，2001，20(增2)：1 608–1 622. (WANG Weiming，XU Mingyi，CHEN Shenghong. Finite element analysis of 3D crack propagation without remeshing[J]. Chinese Journal of Rock Mechanics and Engineering，2001，20(Supp.2)：1 608– 1 622.(in Chinese))
[2] 寇晓东，周维垣. 应用无单元法追踪裂纹扩展[J]. 岩石力学与工程学报，2000，19(1)：18–23.(KOU Xiaodong，ZHOU Weiyuan. Using element-free method to trace crack propagation[J]. Chinese Journal of Rock Mechanics and Engineering，2000，19(1)：18–23.(in Chinese))
[3] 卢 波，葛修润，孔祥礼. 有限元法、无单元法及自然单元法之比较研究[J]. 岩石力学与工程学报，2005，24(5)：780–786.(LU Bo，GE Xiurun，KONG Xiangli. Comparative study on finite element method，meshless method and natural element method[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(5)：780–786.(in Chinese))
[4] 王水林，葛修润. 流形元方法在模拟裂纹扩展中的应用[J]. 岩石力学与工程学报，1997，16(5)：405–410.(WANG Shuilin，GE Xiurun. Application of manifold method in simulating crack propagation[J]. Chinese Journal of Rock Mechanics and Engineering，1997，16(5)：405–410.(in Chinese))
[5] 余天堂. 不连续问题的扩展有限元法分析[J]. 船舶力学，2007，11(5)：716–722.(YU Tiantang. Extended finite element method analysis of discontinuities[J]. Journal of Ship Mechanics，2007，11(5)：716–722.(in Chinese))
[6] SUKUMAR N，PREVOST J H. Modeling quasi-static crack growth with the extended finite element method. Part I：computer implementation[J]. International Journal of Solids and Structures，2003，40：7 513–7 537.
[7] BELYTSCHKO T，FISH J，BAYLISS A. The spectral overlay on finite elements for problems with high gradients[J]. Computer Methods in Applied Mechanics and Engineering，1990，81(1)：71–89.
[8] FISH J. The s-version of the finite element method[J]. Computers and Structures，1992，43(3)：539–547.
[9] FISH J，MARKOLEFAS S，GUTTAL R，et al. On adaptive multilevel superposition of finite element meshes for linear elastostatics[J]. Applied Numerical Mathematics，1994，14(1/3)：135–164.
[10] 汪卫明，陈胜宏. 一种新的岩体力学数值计算方法——叠单元法[J]. 岩石力学与工程学报，2005，24(7)：1 093–1 098.(WANG Weiming，CHEN Shenghong. A novel numerical analysis method for rock masses—superposed element method[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(7)：1 093–1 098.(in Chinese))
[11] 汪卫明，刘友良，丁建新，等. 渗流分析中排水孔模拟的叠单元法[J]. 岩土力学，2011，32(增1)：674–679.(WANG Weiming，LIU Youliang，DING Jianxin，et al. Superposed element method for simulating of drainage holes in seepage analysis[J]. Rock and Soil Mechanics，2011，32(Supp.1)：674–679.(in Chinese))
[12] 石根华. 数值流形方法与非连续变形分析[M]. 北京：清华大学出版社，1997：53–61.(SHI Genhua. Numerical manifold method and discontinuous deformation analysis[M]. Beijing：Tsinghua University Press，1997：53–61.(in Chinese))
[13] 中国航空研究院. 应力强度因子手册[M]. 北京：科学出版社，1981：164–322.(Chinese aeronautical establishment. Stress intensity factors handbook[M]. Beijing：Science Press，1981：164–322.(in Chinese))
[14] OKADA H， ENDOH S， KIKUCHI M. On fracture analysis using an element overlay technique[J]. Engineering Fracture Mechanics，2005，72(5)：773–789.
[15] 陈胜宏. 计算岩体力学与工程[M]. 北京：中国水利水电出版社，2006：101–118.(CHEN Shenghong. Computational rock mechanics and engineering[M]. Beijing：China Water Power Press，2006：101–118.(in Chinese)) |
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2012, Vol. 31 
