ICF13C

13th International Conference on Fracture June 16–21, 2013, Beijing, China 10 Acknowledgements The authors thank financial support of the German Science Foundation (DFG) under the contact number YU119/8-1. References [1] Ortiz M., Pandolfi A., Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. International Journal for Numerical Methods in Engineering, 44 (1999) 1267-82. [2] Xu Y., Yuan H., Computational modeling of mixed-mode fatigue crack growth using extended finite element methods. International Journal of Fracture, 159 (2009) 151-65. [3] Xu Y., Yuan H., Computational analysis of mixed-mode fatigue crack growth in quasi-brittle materials using extended finite element methods. Engineering Fracture Mechanics, 76 (2009) 165-81. [4] Wells G.N., Sluys L.J., A new method for modelling cohesive cracks using finite elements. International Journal for Numerical Methods in Engineering, 50 (2001) 2667-82. [5] de Borst R., Numerical aspects of cohesive-zone models. Engineering Fracture Mechanics, 70 (2003) 1743-57. [6] Freed Y., Banks-Sills L., A new cohesive zone model for mixed mode interface fracture in bimaterials. Engineering Fracture Mechanics, 75 (2008) 4583-93. [7] Krull H., Yuan H., Suggestions to the cohesive traction–separation law from atomistic simulations. Engineering Fracture Mechanics, 78 (2011) 525-33. [8] Dugdale D.S., Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids, 8 (1960) 100-4. [9] Barenblatt G.I., The Mathematical Theory of Equilibrium Cracks in Brittle Fracture, in: H.L. Dryden T.v.K.G.K.F.H.v.d.D., Howarth L. (Eds.), Advances in Applied Mechanics, Elsevier, 1962, pp. 55-129. [10] Xu X.P., Needleman A., Numerical simulations of fast crack growth in brittle solids. Journal of the Mechanics and Physics of Solids, 42 (1994) 1397-434. [11] Yuan H., Lin G., Cornec A., Verification of a Cohesive Zone Model for Ductile Fracture. Journal of Engineering Materials and Technology, 118 (1996) 192-200. [12] Cornec A., Scheider I., Schwalbe K.-H., On the practical application of the cohesive model. Engineering Fracture Mechanics, 70 (2003) 1963-87. [13] Scheider I., Schödel M., Brocks W., Schönfeld W., Crack propagation analyses with CTOA and cohesive model: Comparison and experimental validation. Engineering Fracture Mechanics, 73 (2006) 252-63. [14] Yang B., Mall S., Ravi-Chandar K., A cohesive zone model for fatigue crack growth in quasibrittle materials. International Journal of Solids and Structures, 38 (2001) 3927-44. [15] Roe K.L., Siegmund T., An irreversible cohesive zone model for interface fatigue crack growth simulation. Engineering Fracture Mechanics, 70 (2003) 209-32. [16] Xu Y., Yuan H., On damage accumulations in the cyclic cohesive zone model for XFEM analysis of mixed-mode fatigue crack growth. Computational Materials Science, 46 (2009) 579-85. [17] Ural A., Krishnan V.R., Papoulia K.D., A cohesive zone model for fatigue crack growth allowing for crack retardation. International Journal of Solids and Structures, 46 (2009) 2453-62. [18] ABAQUS Version 6.10, ABAQUS Inc., Pawtucket, U.S.A., 2010. [19] Erdogan F., Ratwani M., Fatigue and fracture of cylindrical shells containing a circumferential crac. Int J Fract, 6 (1970) 379-92.

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