[1] Bouchard PO, Bay F, Chastel Y. Numerical modelling of crack propagation: Automatic remeshing and comparison of different criteria. Computer Methods in Applied Mechanics and Engineering, 2003, 192(35-36): 3887-3908 [2] Bouchard PO, Bay F, Chastel Y, et al. Crack propagation modelling using an advanced remeshing technique. Computer Methods in Applied Mechanics and Engineering, 2000, 189(3): 723-742  [3] Dolbow J, Belytschko T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering, 1999, 46(1): 131-150  [4] Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering, 1999, 45(5):601-620.  [5] Fleming M, Chu Y, Moran B, et al. Enriched element-free Galerkin methods for crack tip fields. International Journal for Numerical Methods in Engineering, 1997, 40(8):1483-1504.  [6] Ventura G, Xu J, Belytschko T. A vector level set method and new discontinuity approximations for crack growth by EFG. International Journal for Numerical Methods in Engineering, 2002, 54(6): 923-944.  [7] 蔡永昌,朱合华. 裂纹扩展过程模拟的无网格 MSLS 方法. 工程力学, 2010, (7): 21-26 (Cai Yongchang, Zhu Hehua. Simulation of crack growth by the MSLS method. Engineering Mechanics, 2010, (7): 21-26(in Chiniese)) [8] Chiou YJ, Lee YM, Tsay RJ. Mixed mode fracture propagation by manifold method. International Journal of Fracture, 2002, 114(4): 327-347  [9] Ma GW, An XM, Zhang HH, et al. Modeling complex crack problems using the numerical manifold method. International Journal of Fracture, 2009, 156(1): 21-35  [10] Tsay RJ, Chiou YJ, Chuang WL. Crack growth prediction by manifold method. Journal of Engineering Mechanics, 1999, 125(8): 884-890  [11] Zhang HH, Li LX, An XM, et al. Numerical analysis of 2-D crack propagation problems using the numerical manifold method. Engineering Analysis with Boundary Elements, 2010, 34(1): 41-50  [12] 王水林,葛修润. 流形元方法在模拟裂纹扩展中的应用. 岩石力学与工程学报, 1997, 16(5): 405-410 (Wang Shuilin, Ge Xiuren. Application of manifold method insimulating crack propagation. Chinese Journal of Rock Mechanics and Engineering, 1997, 16(5): 405-410(in Chiniese)) [13] Melenk J M, Babuška I. The partition of unity finite element method: basic theory and applications. Computer Methods in Applied Mechanics and Engineering, 1996, 139(1): 289-314 [14] An XM, Li LX, Ma GW, et al. Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes. Computer Methods in Applied Mechanics and Engineering, 2011, 200(5-8): 665-674 [15] 栾茂田, 张大林, 杨庆等. 有限覆盖无单元法在裂纹扩展数值分析问题中的应用. 岩土工程学报, 2003, 25(5): 527-531 (Luan Maotian, Zhang Dalin, Yang Qing, et al. Applications of the finite-cover elementfree method in numerical analyses of crack expansion. Chinese Journal of Geotechnical Engineering, 2003, 25(5): 527-531(in Chiniese)) [16] 李树忱,程玉民. 基于单位分解法的无网格数值流形方法. 力学学报, 2004, 36(4): 496-500 (Li Shuchen, Chen Yumin. Meshless numerical manifold method based on unit partition. Acta Mechanica Sinica, 2004, 36(4): 496-500(in Chiniese)) [17] 樊成,栾茂田. 有限覆盖 Kriging 插值无网格法在裂纹扩展中的应用. 岩石力学与工程学报, 2008, 27(4): 743-748 (Fan Cheng, Luan Maotian. Kriging interpolation meshless method based on finite Covers and its application to crack propagation. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(4): 743-748(in Chiniese)) [18] Belytschko T, Moës N, Usui S, et al. Arbitrary discontinuities in finite elements. International Journal for Numerical Methods in Engineering, 2001, 50(4): 993-1013  [19] Pant M, Singh I, Mishra B. A novel enrichment criterion for modeling kinked cracks using element free Galerkin method. International Journal of Mechanical Sciences, 2013, 68: 140-149  [20] Zheng H, Xu D. New strategies for some issues of numerical manifold method in simulation of crack propagation. International Journal for Numerical Methods in Engineering, 2014, 97(13): 986-1010  [21] Shi GH. Manifold method of material analysis. Transaction of the 9th Army conference on applied mathematics and computing. Minneapolis, Minnesota, USA. 1991. 51-76 [22] 曹文贵,速宝玉. 流形元覆盖系统自动形成方法之研究. 岩土工程学报, 2001, 23(2): 187-190 (Cao Wengui, Su Baoyu. A study on techniques of automatically forming of cover system of numerical manifold method. Chinese Journal of Geotechnical Engineering, 2001, 23(2): 187-190 (in Chiniese)) [23] 姜清辉, 邓书申, 周创兵. 有自由面渗流分析的三维数值流形方法. 岩土力学, 2011, 32(3): 879-884 (Jiang Qinghui, Deng Shushen, Zhou Chuangbing. Three-dimensional numerical manifold method for seepage problems with free surfaces. Rock and Soil Mechanics, 2011, 32(3): 879-884(in Chiniese)) [24] 姜清辉, 周创兵. 四面体有限单元覆盖的三维数值流形方法. 岩石力学与工程学报, 2005, 24(24): 4455-4460 (Jiang Qinghui, Zhou Chuangbing. Three-dimensional numerical manifold method with tetrahedron finite element covers. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(24): 4455-4460(in Chiniese)) [25] Belytschko T, Lu YY, Gu L. Element-free Galerkin methods. International Journal for Numerical Methods in Engineering, 1994, 37(2): 229-256  [26] Liu F, Zheng H, Li CG. Simple but efficient method for integrating 1/r singularities. Applied Mechanics and Materials, 2014, 444: 615-620 [27] Arrea M, Ingraffea AR. Mixed-mode crack propagation in mortar and concrete. Report No. 81-13: Department of Structural Engineering, Cornell University, New York, USA. 1982 [28] Rao B, Rahman S. An efficient meshless method for fracture analysis of cracks. Computational Mechanics, 2000, 26(4): 398-408  [29] Yang ZJ, Deeks AJ. Fully-automatic modelling of cohesive crack growth using a finite element-scaled boundary finite element coupled method. Engineering Fracture Mechanics, 2007, 74(6): 2547-2573 [30] Duflot M, Nguyen-Dang H. A meshless method with enriched weight functions for fatigue crack growth. International Journal for Numerical Methods in Engineering, 2004, 59(4): 1945-1961
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