EI、Scopus 收录
中文核心期刊
Yang Yongtao, Xu Dongdong, Zheng Hong. EVALUATION ON STRESS INTENSITY FACTOR OF CRACK UNDER DYNAMIC LOAD USING NUMERICAL MANIFOLD METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(5): 730-738. DOI: 10.6052/0459-1879-14-024
Citation: Yang Yongtao, Xu Dongdong, Zheng Hong. EVALUATION ON STRESS INTENSITY FACTOR OF CRACK UNDER DYNAMIC LOAD USING NUMERICAL MANIFOLD METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(5): 730-738. DOI: 10.6052/0459-1879-14-024

EVALUATION ON STRESS INTENSITY FACTOR OF CRACK UNDER DYNAMIC LOAD USING NUMERICAL MANIFOLD METHOD

Funds: The project was supported by the National Natural Science Foundation of China (11172313) and 973 program (2011CB01350, 2014CB047100).
  • Received Date: January 19, 2014
  • Revised Date: May 12, 2014
  • Compared to the traditional finite element method (FEM), one significant advantage for numerical manifold method (NMM) is not necessary to force the mesh to match the cracks, facilitating the simulation of failure in rock mass. Based on NMM containing enriched functions of crack tip, the Newmark implicit algorithm was used for time integration. Besides, emphasis was placed on the solution method of dynamic stress intensity factor (DSIF) of crack under dynamic loading condition. Numerical examples with NMM for typical elastic dynamic crack problems are presented. The results show that the NMM can not only accurately evaluate DSIF under dynamic loading condition, but also have very good convergence property to the theoretical solution.
  • Liu P, Bui TQ, Zhang Ch. The singular edge-based smoothed finite element method for stationary dynamic crack problems in 2d elastic solids. Computer Methods in Applied Mechanics and Engineering, 2012, 233: 68-80
    Freud LB. Dynamic Fracture Mechanics. London:Cambridge University Press, 1990
    Basu S, Narasimhan R. Finite element simulation of mode I dynamic, ductile fracture initiation. International Journal of Solids and Structure, 1996, 33(8): 1191-1207
    Song JH, Wang HW, Belytschko T. A comparative study on finite element methods for dynamic fracture. Computational Mechanics, 2008, 42(2): 239-250
    Belytschko T, Organ D, Gerlach C. Element-free galerkin methods for dynamic fracture in concrete. Computer Methods in Applied Mechanics and Engineering, 2000, 187(3-4): 385-399
    Lu YY, Belytschko T, Tabbara M. Element-free galerkin method for wave-propagation and dynamic fracture. Computer Methods in Applied Mechanics and Engineering, 1995, 126(1-2): 131-153
    Belytschko T, Lu YY, Gu L. Element-free galerkin methods for static and dynamic fracture. International Journal of Solids and Structures, 1995, 32(17-18): 2547-2570
    Zhang Z, Hao SY, Liew KM, et al. The improved element-free galerkin method for two-dimensional elastodynamics problems. Engineering Analysis with Boundary Elements, 2013, 37(12): 1576-1584
    Puso MA, Chen JS, Zywicz E, et al. Meshfree and finite element nodal integration methods. International Journal For Numerical Methods in Engineering, 2008, 74(3): 416-446
    Sonia FM, Antonio H. Imposing essential boundary conditions in mesh-free methods. Computer Methods in Applied Mechanics and Engineering, 2004, 193(12-14): 1257-1275
    Melenk JM, Babuska I. The partition of unity finite element method: basic theory and applications. Computer Methods in Applied Mechanics and Engineering, 1996, 139(1-4): 289-314
    Babuska I, Melenk JM. The partition of unity method. International Journal for Numerical Methods in Engineering, 1997, 40: 727-758  3.0.CO;2-N">
    Budyn E, Zi G, Moes N. A method for multiple crack growth in brittle materials without remeshing. International Journal for Numerical Methods in Engineering, 2004, 61(10): 1741-1770
    Azadi H, Khoei AR. Numerical simulation of multiple crack growth in brittle materials with adaptive remeshing. International Journal for Numerical Methods in Engineering, 2011, 85(8): 1017-1048
    Elguedj T, Gravouil A, Maigre H. An explicit dynamics extended finite element method. part 1: mass lumping for arbitrary enrichment functions. Computer Methods in Applied Mechanics and Engineering, 2009, 198(30-32): 2297-2317
    Gravouil A, Elguedj T, Maigre H. An explicit dynamics extended finite element method. part 2: element-by-element stable-explicit/explicit dynamic scheme. Computer Methods in Applied Mechanics and Engineering, 2009, 198(30-32): 2318-2328
    Zamani A, Eslami MR. Implementation of the extended finite element method for dynamic thermoelastic fracture initiation. International Journal of Solids and Structures, 2010, 47(10): 1392-1404 e18 Nistor I, Pantale O, Caperaa S. Numerical implementation of the extended finite element method for dynamic crack analysis. Advances in Engineering Software, 2008, 39(7): 573-587
    [19] Zhang SR, Wang GH, Yu XR. Seismic cracking analysis of concrete gravity dams with initial cracks using the extended finite element method. Engineering Structures, 2013, 56: 528-543
    [20] Rabczuk T, Song JH, Belytschko T. Simulation of instability in dynamic fracture by the cracking particles method. Engineering Fracture Mechanics, 2009, 76(6):730-741
    [21] Zheng H, Xu DD. New strategies for some issues of numerical manifold method in simulation of crack propagation. International Journal for Numerical Methods in Engineering, In press
    [22] Fries TP, Belytschko T. The extended/generalized finite element method: An overview of the method and its applications. International Journal for Numerical Methods in Engineering, 2010, 84: 253-304
    [23] Shi GH. Manifold method of material analysis. In: Trans 9th Army Conf on Applied Mathematics and Computing. Minneapolis, Minnesota, 1991. 57-76
    [24] Shi GH. Modeling rock joints and blocks by manifold method. In: Proceedings of the 33rd US Rock Mechanics Symposium. New Mexico, San Ta Fe, 1992. 639-48
    [25] Xu DD, Zheng H. Mesh independence test of numerical manifold method in treating strong singularity. In: Proceedings of 11th International Conference on Analysis of Discontinuous Deformation. Japan, Fukuoka, 2013. 91-96
    [26] 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
    [27] Zhang HH, Zhang SQ. Extract of stress intensity factors on honeycomb elements by the numerical manifold method. Finite Elements in Analysis and Design, 2012, 59: 55-65
    [28] Ma GW, An XM, Zhang HH, et al. Modeling complex crack problems using the numerical manifold method. International Journal of Fracture, 2009, 156: 21-35
    [29] Wu ZJ, Wong LNY. Elastic-plastic cracking analysis for brittle-ductile rocks using manifold method. International journal of fracture, 2013, 180: 71-91
    [30] Wu ZJ, Wong LNY. Frictional crack initiation and propagation analysis using the numerical manifold method. Computers and Geotechnics, 2012, 39: 38-53
    [31] 刘红岩,秦四清,李厚恩等. 岩石冲击破坏的数值流形方法模拟. 岩土工程学报, 2007, 29(4): 587-593 (Liu Hongyan, Qin Siqing, Li Houen, et al. Simulation of impact failure of rock by numerical manifold method. Chinese Journal of Geotechnical Engineering, 2007, 29(4): 587-593 (in Chinese))
    [32] 张国新,金峰,王光纶. 用基于流形元的子域奇异边界元法模拟重力坝的地震破坏. 工程力学, 2001, 18(4): 18-27 (Zhang Guoxin, Jin Feng, Wang Guanglun. Seismic failure simulation of gravity dam by manifold-based singular boundary element method. Engineering Mechanics, 2001, 18(4): 18-27 (in Chinese))
    [33] 王自强,陈少华. 高等断裂力学. 北京:科学出版社,2009 (Wang Ziqiang, Chen Shaohua. Advanced Fracture Mechanics. Beijing: Science Press, 2009 (in Chinese))
    [34] 李树忱,程玉民,考虑裂纹尖端场的数值流形方法. 土木工程学报, 2005,38(7) :96-101 (Li Shuchen, Cheng Yumin. Numerical manifold method for crack tip fields. China Civil Engineering Journal, 2005, 38(7): 96-101 (in Chinese)).
    [35] Zheng H, Liu ZJ, Ge XR. Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems. International Journal for Numerical Methods in Engineering, 2013, 95: 721-739
    [36] 姜清辉,周创兵,漆祖芳. 基于Newmark积分方案的DDA方法. 岩石力学与工程学报, 2009,28(1):2778-2783 (Jiang Qinghui, Zhou Chuangbing, Qi Zufang. Discontinuous deformation analysis method based on Newmark integration algorithm. Chinese Journal of Rock Mechanics and Engineering, 2009, 28(1): 2778-2783 (in Chinese))
    [37] Menouillard T, Belytschko T. Dynamic fracture with meshfree enriched XFEM. Acta Mechanica, 2010, 213(1-2): 53-69.
    [38] 江守燕,杜成斌. 动载下缝端应力强度因子计算的扩展有限元法. 应用数学和力学,2013,34(6):586-597 (Jiang Shouyan, Du Chengbin. Evaluation on stress intensity factors at the crack tip under dynamic loads using extended finite element methods. Applied Mathematics and Mechanics, 2013, 34(6):586-597 (in Chinese))
    [39] 王勖成. 有限单元法. 北京:清华大学出版社,2003 (Wang Xucheng. Finite Element Method. Beijing: Tsinghua University Press, 2003 (in Chinese))
    [40] Belytschko T, Chen H. Singular enrichment finite element method for elastodynamic crack propagation. International Journal of Computational Methods, 2004, 1: 1-15
  • Related Articles

    [1]Bojing Zhu, Taiyan Qin. Application of hypersingular integral equation method to a three-dimensional crack perpendicular to the interface in electromagnetoelastic bimaterials[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 23(4): 510-516. DOI: 10.6052/0459-1879-2007-4-2006-417
    [2]ANALYSIS OF STRIP ELECTRIC SATURATION MODEL OF CRACK PROBLEM IN PIEZOELECTRIC MATERIALS 1)[J]. Chinese Journal of Theoretical and Applied Mechanics, 1999, 31(3): 311-319. DOI: 10.6052/0459-1879-1999-3-1995-036
    [3]Jiecai Han. THE COUPLED SOLUTION OF A RIGID LINE INCLUSION AND A CRACK IN ANISOTROPIC PIEZOELECTRIC SOLIDS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(5): 544-550. DOI: 10.6052/0459-1879-1995-5-1995-465
    [4]A METHOD FOR CALCULAIING THE DYNAMIC EFFECT OF DYNAMIC AND STATIC FRICTION ON A CONTACTABLE CRACK[J]. Chinese Journal of Theoretical and Applied Mechanics, 1994, 26(4): 494-502. DOI: 10.6052/0459-1879-1994-4-1995-573
    [5]TORSION OF COMPOSITE CYLINDER WITH CRACK AND INCLUSION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(3): 350-360. DOI: 10.6052/0459-1879-1992-3-1995-747
    [6]ELASTIC-PLASTIC ANALYSIS OF CENTRAL SHORT CRACKS[J]. Chinese Journal of Theoretical and Applied Mechanics, 1990, 22(6): 717-724. DOI: 10.6052/0459-1879-1990-6-1995-1002

Catalog

    Article Metrics

    Article views (1239) PDF downloads (1321) Cited by()
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return