PSI - Issue 17

S. Mousa et al. / Procedia Structural Integrity 17 (2019) 284–291 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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Fig. 8 The layout crack path of crack grow from pre-crack with different 2L/s under 3PB

5. Conclusions Based on the present experimental and numerical results the following conclusions were drawn. 1. For the same crack length, the maximum applied load increased with increasing the mode of mixity to reach pure mode II. 2. The crack path initiated from the original inclination angle and grew along a curvilinear trajectory to extend toward the upper loading point. 3. The crack path of FGM specimen under 3PB is not depend on the pre-crack length. 4. Cracked FGM specimen under 3PB failed due to delamination and tensile crack. In the future work, the authors will compared the behaviour of crack growth in FGM specimen with that grow in unidirectional glass fiber-polyester polymeric composite specimen with the same volume of fraction. References ABAQUS user’s manual version 6.3. 2002. Pawtucket, RI: Hibbitt, Karlsson and S orensen Inc. USA. Asadpoure, A., S. Mohammadi and A. Vafai (2006). "Crack analysis in orthotropic media using the extended finite element method." Thin-Walled Structures 44(9): 1031-1038. Chalivendra, V. B. (2008). "Mode-I crack-tip stress fields for inhomogeneous orthotropic medium." Mechanics of Materials 40(4-5): 293-301. Comi, C. and S. Mariani (2007). "Extended finite element simulation of quasi-brittle fracture in functionally graded materials." Computer Methods in Applied Mechanics and Engineering 196(41-44): 4013-4026. Delale, F. and F. Erdogan (1983). "The crack problem for a nonhomogeneous plane." Journal of Applied Mechanics 50(3): 609-614. Dry, C. (1996). "Procedures developed for self-repair of polymer matrix composite materials." Composite structures 35(3): 263-269. Elguedj, T., A. Gravouil and A. Combescure (2006). "Appropriate extended functions for X-FEM simulation of plastic fracture mechanics." Computer Methods in Applied Mechanics and Engineering 195(7-8): 501-515. Erdogan, F. (1995). "Fracture mechanics of functionally graded materials." Composites Engineering 5(7): 753-770. Gu, P. and R. Asaro (1997). "Crack deflection in functionally graded materials." International Journal of Solids and Structures 34(24): 3085-3098. Gu, P. and R. Asaro (1997). "Cracks in functionally graded materials." International Journal of Solids and Structures 34(1): 1-17. Jain, N., C. Rousseau and A. Shukla (2004). "Crack-tip stress fields in functionally graded materials with linearly varying properties." Theoretical and Applied Fracture Mechanics 42(2): 155-170. Jin, X., L. Wu, L. Guo, H. Yu and Y. Sun (2009). "Experimental investigation of the mixed-mode crack propagation in ZrO2/NiCr functionally graded materials." Engineering Fracture Mechanics 76(12): 1800-1810. Jin, Z.-H. and N. Noda (1994). "Crack-tip singular fields in nonhomogeneous materials." Journal of Applied Mechanics 61(3): 738-740. Kubair, D. V., P. H. Geubelle and J. Lambros (2005). "Asymptotic analysis of a mode III stationary crack in a ductile functionally graded material." Journal of Applied Mechanics 72(4): 461-467. Ozturk, M. and F. Erdogan (1996). "Axsiymmetric crack problem in bonded materials with a graded interfacial region." International Journal of Solids and Structures 33(2): 193-219. Parameswaran, V. and A. Shukla (2002). "Asymptotic stress fields for stationary cracks along the gradient in