Abstract
A 3D displacement discontinuity method is applied to solve the fracture mechanics problems of the mixed mode crack under compression. Friction between the surface of the closed crack is considered by establishing a simple and efficient iterative algorithm based on method of contact resistance mitigation. On the surfaces of the closed crack, the Mohr-coulomb rule is satisfied by iteration when the crack is in condition of sliding. The stress intensity factors are obtained using displacement fitting method. It is shown that the numerical results agree with the experimental results well and that friction plays an important role in resisting crack propagation.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Antonio B. Fracture coalescence in rocks [M]. USA: School of Civil Engineering, Purdue University, 1999.
Guz A N. Dynamic problems of the mechanics of the brittle fracture of materials with initial stresses for moving cracks [J]. International Applied Mechanics, 1998, 34(12): 1023–1030.
Zhuang Z. Energy balance analysis for dynamic crack propagation in gas pipelines using finite element method [J]. Engineering Mechanics, 1997, 14(2): 136–142 (in Chinese).
Li Wo-dong, Wang Yuan-han, Chen Xiao-bo. Crack propagation analysis of compressive-shear mixed mode by meshless method [J]. Journal of Huazhong University of Science and Technology, 2000, 28(11): 79–82 (in Chinese).
Chen Tian-zhi, Cen Zhang-zhi. On sub-domain technique of Galerkin symmetric boundary element method [J]. Acta Mechanica Solida Sinica, 1997, 18(1): 365–370 (in Chinese).
Crouch S L, Starfield A M. Boundary element method in solid mechanics [M]. London: George Allen and Unwin, 1983: 38–41.
Elvin N, Leung C. A fast iterative boundary element method for solving closed crack problems [J]. Engineering Fracture Mechanics, 1999, 63(5): 631–648.
de Bremaecker J, Ferris M C, Ralph D. Compressional fractures considered as contact problems and mixed complementarity problems [J]. Engineering Fracture Mechanics, 2000, 66(3): 287–303.
Tu Jin-liang, Liu Guang-ting, Zhang Jing-jian. Macrostress field of crack in finite body under compression-shear condition and its energy of propagation [J]. Journal of Tsinghua University (Science and Technology), 1996, 36(1): 23–27 (in Chinese).
Huang Xing-chun, Gu Jun-chao, Xia Xiao-he. Numerical analysis on crack propagation under compressing load by displacement discontinuity method [J]. Journal of Shanghai Jiaotong University, 2001, 35(10): 1486–1490 (in Chinese).
Hartranft R J, Sih G C. The use of eigenfuncition expansions in the general solution of three-dimensional crack problems [J]. Journal of Mathematics and Mechanics, 1969, 19: 123–138.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, F., Huang, Xc. & Deng, Jh. Numerical analysis of crack under compression by 3D displacement discontinuity method. J. Shanghai Jiaotong Univ. (Sci.) 15, 297–300 (2010). https://doi.org/10.1007/s12204-010-1006-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12204-010-1006-2