[1] BELYTSCHKO T, BLACK T. Elastic crack growth in finite elements with minimal remeshing[J]. International Journal for Numerical Methods in Engineering, 1999, 45(5): 601-620. [2] MOES N, DOLLOW J, BELYTSCHKO T. A finite element method for crack growth without remeshing[J]. International Journal for Numerical Methods in Engineering, 1999, 46(1): 131-150. [3] 凌道盛,徐小敏,陈云敏.数学网格和物理网格分离的有限单元法(I):基本理论[J].计算力学学报,2009,26(3):401-407. LING Daosheng, XU Xiaomin, CHEN Yunmin. An enhanced finite element method with separate mathematical and physical mesh(I): theory[J]. Chinese Journal of Computational Mechanics, 2009,26(3): 401-407. [4] DUGDALE D S. Yielding of steel sheets containing slits[J]. Journal of the Mechanics and Physics of Solids, 1960, 8(2): 100-108. [5] BARENBLATT G I.The mathematical theory of equilibrium cracks in brittle fracture[J]. Advances in Applied Mechanics, 1962,7: 55-129. [6] 凌道盛,韩超,陈云敏.数学网格和物理网格分离的有限单元法(II):粘聚裂纹扩展问题中的应用[J].计算力学学报,2009,26(3): 408-414. LING Daosheng, HAN Chao, CHEN Yunmin. An enhanced finite element method with separate mathematical and physical mesh(II): application in propagation of cohesive crack[J]. Chinese Journal of Computational Mechanics, 2009, 26(3): 408-414. [7] LING D S, YANG Q D, COX B N. An augmented finite element method for modeling arbitrary discontinuities in composite materials[J]. International Journal of Fracture, 2009, 156(1): 53-73. [8] LING D S, FANG X J, COX B N, et al. Nonlinear fracture analysis of delamination crack jumps in laminated composites[J].Journal of Aerospace Engineering, 2011, 24(2): 181-188. [9] 杨庆生,杨卫.断裂过程的有限元模拟[J].计算力学学报,1997,14(4): 407-412. YANG Qingsheng, YANG Wei. Finite element simulation of fracture process[J]. Chinese Journal of Computational Mechanics, 1997,14(4): 407-412. [10] 王建华,杨磊,沈为平.自适应分析在确定裂纹尖端塑性区中的应用[J].计算力学学报,2001,18(1): 111-117. WANG Jianhua, YANG Lei, SHEN Weiping. Determination of the shape of plastic zone near crack tip by adaptive FEA[J]. Chinese Journal of Computational Mechanics, 2001, 18(1): 111-117. [11] 黄茂松,贾苍琴,钱建固.岩土材料应变局部化的有限元分析方法[J].计算力学学报,2007,24(7): 465-471. HUANG Maosong, JIA Cangqin, QIAN Jiangu. Strain localization problems in geomaterials using finite elements[J]. Chinese Journal of Computational Mechanics, 2007, 24(7): 465-471. [12] PANNACHET T, SLUYS L J, ASKES H. Error estimation and adaptivity for discontinuous failure[J]. International Journal for Numerical Methods in Engineering, 2009, 78(5): 528-563. [13] GUTIERREZ M A, BORST R, SCHELLEKENS J C J, et al. An algorithm for mesh rezoning with applications to strain localization problems[J]. Computers & Structures, 1995, 55(2): 237-247. [14] PALANI G S, IYER N R, DATTAGURU B. New a posteriori error estimator and adaptive mesh refinement strategy for 2D crack problems[J]. Engineering Fracture Mechanics, 2006, 73(6): 802-819. [15] SOUIYAH M, ALSHOAIBI A, MUCHTAR A, et al. Twodimensional finite element method for stress intensity factor using adaptive mesh strategy[J]. Acta Mechanica, 2009, 204(1/2): 99-108. [16] KHOEI A R, MOSLEMI H, ARDAKANY K M, et al. Modeling of cohesive crack growth using an adaptive mesh refinement via the modifiedSPR technique[J]. International Journal of Fracture, 2009, 159(1): 21-41. [17] ZIENKIEWICZ O C, ZHU J Z. The superconvergence path recovery and a posteriori error estimates. Part 1: The recovery technique[J]. International Journal for Numerical Methods in Engineering, 1992, 33(7): 1331-1364. [18] ZIENKIEWICZ O C, ZHU J Z. The superconvergence path recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity[J]. International Journal for Numerical Methods in Engineering, 1992, 33(7): 1365-1382. [19] BARLOW J. Optimal stress location in finite element method[J]. International Journal for Numerical Methods in Engineering, 1976,10(2): 243-251.
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