13th International Conference on Fracture June 16–21, 2013, Beijing, China -7- Figure 5. The meshless model of a star-shaped crack in a square plate 5. Conclusions The application of virtual crack closure technique into the MSIM is presented in this paper. The remeshing and the refinement near the crack tips can be avoided in the present method, and as a result, it makes the evaluation of the SIF much easier and more efficient. The virtual crack closure technique is based on the stress analysis using the MSIM for discontinuous model here, however other meshless methods are equally viable, e.g., the element-free Galerkin method (EFG), and the meshless local-Petrov Galerkin method (MLPG). The numerical results indicate that the present method effectively calculates the SIF near the crack tips and possess a high accuracy. Acknowledgements The authors gratefully acknowledge the support of Program for New Century Excellent Talents (NCET-12-0415), the National Science and Technology Support Program (2011BAB08B01), and the Fundamental Research Funds for the Central Universities. References [1] Rooke D. P., Cartwright D.J. Compendium of stress intensityfactors[M]. London: Her Majesty’s Stationary Office, 1976 [2] Tada H., Paris P. C., Irwin G. R. The stress factor hand book [M]. Hellertown: Del Research Corporation, 1985 [3] Murakami Y. Stress intensity factors handbook[M]. New York: Pergamon, 1987 [4] Shahani A.R., Habibi S.E. Stress intensity factors in a hollow cylinder containing circumferential semi- elliptical crack sub-jected to combined loading[J]. International Journal of Fatigue, 2007, 29(1):128- 140 [5] Zhou W.Y., Xiao H.T.. Three dimension discontinuous displacement method and the strongly singular and hypersing ular integrals[J]. Acta Mechanica Sinica, 2002, 34( 4): 645-651 [6] Citatella R., Perella M. Multiple surface crack propagation: numerical simulations and experimental tests[J]. Fatigue Fract Engng Mater Struct, 2005, 28(1/2): 135-148 [7] Brighenti R. Application of the element-free Galerkin meshless method to 3-D fracture mechanics problems[J]. Engineering Fracture Mechanics, 2005, 72(18):2808 - 2820 [8] Chihdar Y., Alireza C., Tomblin J.S. Strain energy release rate determination of prescribed cracks in adhesively-bonded single-lap composite joints with thick bondlines [J]. Composites: Part B, 2008, 39(5): 863 - 873． [9] Rosa M., Freitas D.M. Characterisation of the edge crack torsion (ECT) test for the measurement of the mode III interlaminar fracture toughness[J]. Engineering Fracture Mechanics, 2009, 76(18): 2799 -2809. [10] Rybicki E F, Kanninen M F. A finite element calculation of stress intensity factors by a modified crack closure integral. Engineering Fracture Mechanics, 1977, 9: 931-938 [11] Cai Y.C., Zhu H.H. A PU-based meshless Shepard interpolation method satisfying delta property [J].
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