PSI - Issue 2_A

Shu Yixiu et al. / Procedia Structural Integrity 2 (2016) 2550–2557 Shu Yixiu and Li Yazhi / Structural Integrity Procedia 00 (2016) 000–000

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4. Conclusions An efficient X-FEM approach have been presented in this paper using a triangulation scheme coupling with the vector level set method. The orthogonal level-set functions are analytical calculated using the explicit description of crack surface. A correction method for crack front source points are used to eliminate mismatch between the explicit and implicit crack fronts. The interaction energy integral for 3-D curved crack front is adopt to calculate the stress intensity factors. The update of crack is straight forward and no additional numerical procedure is needed because the crack surface is explicit descripted. The presented approach has good performances in the simulation of fatigue crack problems. References Belytschko T, Black T., 1999. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering 45, 601–620. Fries TP, Belytschko T., 2010. The extended/generalized finite element method: an overview of the method and its applications. International Journal for Numerical Methods in Engineering 84, 253–304. Fries T, Baydoun M., 2012. Crack propagation with the extended finite element method and a hybrid explicit–implicit crack description. International Journal for Numerical Methods in Engineering 89(12), 1527-1558. Gosz M, Moran B., 2002. An interaction energy integral method for computation of mixed-mode stress intensity factors along non-planar crack fronts in three dimensions. Engineering Fracture Mechanics 69(3), 299-319. Gravouil A, Moës N, Belytschko T., 2002. Non-planar 3D crack growth by the extended finite element and level sets, part II: level set update. International Journal for Numerical Methods in Engineering 53, 2569–2586. Lei Y., 2008. Finite element crack closure analysis of a compact tension specimen. International Journal of Fatigue 30(1), 21-31. Moës N, Dolbow J, Belytschko T., 1999. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering 46, 131–150. Osher S, Sethian JA., 1988. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton–Jacobi formulations. Journal of Computational Physics 79, 12–49. Prabel B, Combescure A, Gravouil A, Marie S., 2007. Level set X-FEM non-matching meshes: application to dynamic crack propagation in elastic plastic media. International Journal for Numerical Methods in Engineering 69, 1553–1569. Shih C F, Moran B, Nakamura T., 1986. Energy release rate along a three-dimensional crack front in a thermally stressed body. International Journal of fracture, 30(2), 79-102. Stern M, Becker E B, Dunham R S., 1976. A contour integral computation of mixed-mode stress intensity factors. International Journal of Fracture, 12(3), 359-368. Stolarska M, Chopp DL, Moës N, Belytschko T., 2001. Modelling crack growth by level-sets in the extended finite element method. International Journal for Numerical Methods in Engineering 51, 943–960. Sukumar N, Chopp DL, Béchet E, Moës N., 2008. Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method. International Journal for Numerical Methods in Engineering 76, 727–748. Sukumar N, Moës N, Moran B, Belytschko T., 2000. Extended finite element method for three-dimensional crack modelling. Int J Numer Methods Engng 48, 1549–70. Ventura G, Budyn E, Belytschko T., 2003. Vector level sets for description of propagating cracks in finite elements. International Journal for Numerical Methods in Engineering 58, 1571–1592. Ventura G, Xu JX, Belytschko T., 2002. A vector level set method and new discontinuity approximations for crack growth by EFG. International Journal for Numerical Methods in Engineering 54, 923–944.