上海交通大学学报（英文版） ›› 2014, Vol. 19 ›› Issue (6): 736-746.doi: 10.1007/s12204-014-1557-8
Numerical Study of Quasi-Static Crack Growth Problems Based on Extended Finite Element Method
ZHENG An-xing (郑安兴), LUO Xian-qi*(罗先启)
- (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
-
出版日期:2014-12-31发布日期:2014-12-08 -
通讯作者:LUO Xian-qi (罗先启) E-mail:luoxianqi@sjtu.edu.cn
Numerical Study of Quasi-Static Crack Growth Problems Based on Extended Finite Element Method
ZHENG An-xing (郑安兴), LUO Xian-qi*(罗先启)
- (School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
-
Online:2014-12-31Published:2014-12-08 -
Contact:LUO Xian-qi (罗先启) E-mail:luoxianqi@sjtu.edu.cn
摘要： The extended finite element method (XFEM) is a numerical method for modeling discontinuities within a classical finite element framework. Based on the algorithm of XFEM, the major factors such as integral domain factor and mesh density which all influence the calculation accuracy of stress intensity factor (SIF) are discussed, and the proper parameters to calculate the SIF are given. The results from the case analysis demonstrate that the crack path is the most sensitive to the crack growth increment size, and the crack path is not mesh-sensitive. A reanalysis method for the XFEM has been introduced. The example presented shows that there is a significantly reduced computational cost for each iteration of crack growth achieved by using the reanalysis method and the reanalysis approach has increasing benefits as the mesh density increases or the value of crack growth increments size decreases.
中图分类号:
引用本文
ZHENG An-xing (郑安兴), LUO Xian-qi*(罗先启). Numerical Study of Quasi-Static Crack Growth Problems Based on Extended Finite Element Method[J]. 上海交通大学学报（英文版）, 2014, 19(6): 736-746.
ZHENG An-xing (郑安兴), LUO Xian-qi*(罗先启). Numerical Study of Quasi-Static Crack Growth Problems Based on Extended Finite Element Method[J]. Journal of shanghai Jiaotong University (Science), 2014, 19(6): 736-746.
使用本文
| [1] Wu Z J, Wong L N Y. Frictional crack initiation and propagation analysis using the numerical manifold method [J]. Computers and Geotechnics, 2012, 39: 38-53. [2] Branco R, Antunes F V. Finite element modelling and analysis of crack shape evolution in mode-I fatigue middle cracked tension specimens [J]. Engineering Fracture Mechanics, 2008, 75(10): 3020-3037. [3] Wu S, Fang S. Modeling cohesive cracks with meshless method [J]. International Journal of Damage Mechanics, 2009, 18(8): 721-737. [4] Wen P H, Aliabadi M H. Dual boundary element method for modelling curved crack paths [J]. International Journal of Fracture, 2012, 176(1): 127-133. [5] Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing [J]. International Journal for Numerical Methods in Engineering,1999, 45: 601-620. [6] Mo¨es N, Dolbow 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. [7] R′ethor′e J, Roux S, Hild F. Mixed-mode crack propagation using a hybrid analytical and extended finite element method [J]. Comptes Rendus Mecanique,2010, 338: 121-126. [8] Gordeliy E, Peirce A. Coupling schemes for modeling hydraulic fracture propagation using the XFEM[J]. Computer Methods in Applied Mechanics and Engineering,2013, 253: 305-322. [9] Zhu Q Z. On enrichment functions in the extended finite element method [J]. International Journal for Numerical Methods in Engineering, 2012, 91: 186-217． [10] Liu Z L, Menouillard T, Belytschko T. An XFEM/spectral element method for dynamic crack propagation [J]. International Journal of Fracture,2011, 169(2): 183-198. [11] Fleming M, Chu Y A, Moran B, et al. Enriched element-free Galerkin methods for crack tip fields [J].International Journal for Numerical Methods in Engineering,1997, 40(8): 1483-1504. [12] Osher S, Sethian J A. Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations [J]. Journal of Computational Physics, 1988, 79(1): 12-49. [13] Stolarska M, Chopp D L, Mo¨es N, et al. Modelling crack growth by level sets in the extended finite element method [J]. International Journal for Numerical Methods in Engineering, 2001, 51: 943-960. [14] Sukumar N, Pr`evost 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(26): 7513-7537. [15] Wu B, Li Z. Static reanalysis of structures with added degrees of freedom [J]. Communications in Numerical Methods in Engineering, 2006, 22: 269-281. [16] Pais M J, Yeralan S N, Davis T A, et al. An exact reanalysis algorithm using incremental Cholesky factorization and its application to crack growth modeling [J]. International Journal for Numerical Methods in Engineering, 2012, 91: 1358-1364. [17] Ventura G, Budyn E, Belytschko T. Vector level sets for description of propagating cracks in finite elements [J]. International Journal for Numerical Methods in Engineering, 2003, 58: 1571-1592. |
| [1] | DUAN Yu (段宇), KIM Cholgyong (金哲景), XU Guobin (徐国宾). Temperature Drop Model Based on Discrete Element Method for Simulating Damage of Bio-Cemented Sand by Cold Wave[J]. Journal of Shanghai Jiao Tong University (Science), 2019, 24(6): 789-798. |
| [2] | HU Jun *(胡俊), REN Jianwei (任建伟), WU Deyi (吴德义). Dynamic Mechanical Properties of EPS Concrete Under Impact Loading[J]. Journal of Shanghai Jiao Tong University (Science), 2019, 24(1): 94-100. |
| [3] | LIU Jianhui (刘俭辉), WEI Yaobing (韦尧兵), YAN Changfeng (剡昌锋), LANG Shanshan (郎珊珊). Method for Predicting Crack Initiation Life of Notched Specimen Based on Damage Mechanics[J]. sa, 2018, 23(2): 286-290. |
| [4] | CAO Ling1,2* (曹 玲), ZHANG Hua1 (张 华), CHEN Yong1 (陈 勇). Hydraulic Properties Analysis of the Unsaturated Cracked Soil[J]. 上海交通大学学报（英文版）, 2017, 22(1): 35-044. |
| [5] | FENG Shao-kong1,2* (冯少孔), HUANG Tao3 (黄 涛), LI Hong-jie4 (李宏阶). Automatic Identification of Cracks from Borehole Image Under Complicated Geological Conditions[J]. 上海交通大学学报（英文版）, 2013, 18(6): 699-705. |
| [6] | HUANG Xiao-guang1,2 (黄小光), XU Jin-quan1* (许金泉), FENG Miao-lin1 (冯淼林). Energy Principle of Corrosion Environment Accelerating Crack Propagation During Anodic Dissolution Corrosion Fatigue[J]. 上海交通大学学报（英文版）, 2013, 18(2): 190-196. |
| [7] | WANG Zhong-chang1,2* (王忠昶), ZHAO De-shen2 (赵德深), WU Hui-jun1 (吴会军). Study on Toughening on Crack Prevention of Jointed Rock Masses with Different Pre-Stress Anchor Cables[J]. 上海交通大学学报（英文版）, 2012, 17(5): 552-558. |
| [8] | RONG Hui (荣辉), QIAN Chun-xiang (钱春香). Development of Microbe Cementitious Material in China[J]. 上海交通大学学报（英文版）, 2012, 17(3): 350-355. |
| 阅读次数 | ||||||||||||||||||||||||||||||||||||||||||||||||||
|
全文 205
|
|
|||||||||||||||||||||||||||||||||||||||||||||||||
|
摘要 |
|
|||||||||||||||||||||||||||||||||||||||||||||||||