ICF13B

13th International Conference on Fracture June 16–21, 2013, Beijing, China 9 nonhomogeneous constituent. The integral transform techniques were employed in conjunction with the coordinate transformations of relevant field variables and a resulting Cauchy-type singular integral equation was solved in the Laplace transform domain. Following the inversion of the Laplace transforms, the evolution of the dynamic mixed-mode DSIFs stress intensity factors with time was evaluated. Acknowledgements This work is supported by the National Natural Science Foundation of China (51061015,11261045) and research fund for the doctoral program of higher education of China (20116401110002). References [1] Delale, F., Erdogan, F., On the mechanical modeling of the interfacial region in bonded half-planes. J. Appl. Mech., 55(1988) 317-324. [2] Chen, Y.F., Erdogan, F., The interface crack problem for a nonhomogeneous coating bonded to a homogeneous substrate. J. Mech. Phys. Solids, 44(1996) 771-787. [3] Huang, G.Y., Wang, Y.S., Yu, S.W., Fracture analysis of a functionally graded interfacial zone under plane deformation. Int.J. Solids Struct., 41(2004) 731-743. [4] Ding, S.H., Li, X., Anti-plane problem of periodic interface cracks in a functionally graded coating-substrate structure. Int. J.Fract., 153(2008) 53-62. [5] Ding, S.H., Li, X., Thermal stress intensity factors for an interface crack in a functionally graded layered structures. Archive of Applied Mechanics., 7(2011) 943-955. [6] Atkinson, C., Some results on crack propagation in media with spatially varying elastic properties. Int. J. Fract. ,11(1975)619-628. [7] Li, C.Y., Weng, G.J., Dynamic stress intensity factor of a cylindrical interface crack with a functionally graded interlayer. Mech. Mater., 33(2001) 325-333. [8] Guo, L.C., Wu, L.Z., Ma, L., Zeng, T., Fracture analysis of a functionally graded coating-substrate structure with a crack perpendicular to the interface - Part II: Transient problem. Int. J.Fract., 127(2004)39-59. [9] Li, Y.D., Lee,K.Y., Yao D., Dynamic stress intensity factors of two collinear mode-III cracks perpendicular to and on the two sides of a bi-FGM weak-discontinuous interface. Eur. J. Mech. A-Solids, 27(2008)808-823. [10] Ding, S.H., Li, X., Zhou Y.T., Dynamic Stress Intensity Factors of Mode I Crack Problem for Functionally Graded Layered Structures.CMES: Computer Modeling in Engineering & Sciences., 56(2010)43-84. [11] Bogy, D.B., On the plane elastostatic problem of a loaded crack terminating at a material interface. ASME. J. Appl. Mech., 38 (1971) 911-918 [12] Konda, N., Erdogan, F., The mixed-mode crack problem in nonhomogeneous elastic plane. Eng. Fract. Mech., 47(1994)533-545. [13] Choi, H.J., Impact behavior of an inclined edge crack in a layered medium with a graded nonhomogeneous interfacial zone: antiplane deformation. Acta Mech., 193(2007)67-84. [14] Muskelishvili, I. N., Singular integral equations, Groningen: Noordhoff, The Netherlands,1953. [15] Miller, M. K., Guy, W. T., Numerical inversion of the Laplace transform by the use of Jacobi polynomials. SIAM J. Numer. Anal., 3(1966)624-635.

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