13th International Conference on Fracture June 16–21, 2013, Beijing, China -5- more dangerous than the triangular blast loading. The quality of the obtained results demonstrates well the effectiveness of the proposed approach and the resulting computer code. 5. Conclusion This study presents a computational procedure to evaluate the DSIF for stationary cracks in plate containing inclusions using the XFEM method. The agreement of the obtained results with those found in the literature for several treated configurations demonstrates the effectiveness and the robustness of the proposed procedure. As a perspective, this work will be extended to problems of multi inclusions, multi cracks, different form of the inclusion and dynamic crack propagation. References [1] S.H. Song, G.H. Paulino, Dynamic stress intensity factors for homogeneous and smoothly heterogeneous materials using the interaction integral method, Int. J. Solids Struct. 43 4830– 4866 (2006). [2] F. Chirino, J. Dominguez, Dynamic analysis of cracks using boundary element method, Engrg. Fract. Mech. 34 1051–1061. (1989). [3] Y.M. Chen, Numerical computation of dynamic stress intensity factors by a Lagrangian finite difference method, Engrg. Fract. Mech. 7. 653–660. (1975). [4] A.-V. Phan, L.J. Gray, A. Salvadori, Transient analysis of the dynamic stress intensity factors using SGBEM for frequency-domain elastodynamics, Comput. Methods Appl. Mech. Engrg , 199. 3039-3050. (2010). [5] Sukumar .N, Chopp D. L , Möes . N , Belytschko T.; Modeling holes and inclusions by level sets in the extended finite-element method. 6183-6200, s.l. : Comput. Methods Appl . Mech. Engrg., 2001, Vol. 190. [6] T. Belytschko, T. Black, Elastic crack growth in finite elements with minimal remeshing, Int. J. Numer. Meth. Engng. 45,601-620. (1999). [7] Matthew Jon Pais; Accurate integration of fatigue crack growth models through kriging and reanalysis of the extended finite element method, edité par University of FLORIDA, (2010). [8] T. Belytschko, H Chen, Singular enrichment finite element method for elastodynamic crack propagation, International Journal of Computational Methods, 1 (1), 1–15. (2004). [9] J. Réthoré, A.Gravouil, A. Combescure, An energy-conserving scheme for dynamic crack growth using the extended finite element method, Int. J. Numer. Meth. Engng. 63, 631–659. (2005). [10] D. Grégoire, Initiation, propagation, arrêt et redémarrage de fissures sous impact, doctorate thesis of INSA, 2008. [11] G.C. Sih, P. Paris, and G. Irwin, On cracks in rectilinearly anisotropic bodies, International Journal of Fracture Mechanics, 1 (3) 189–203 (1965).
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