13th International Conference on Fracture June 16–21, 2013, Beijing, China -5- investigation has also suggested that the mesh size requirement can be relaxed under certain conditions [8,9]. Our simulation shows that the larger thickness of the brittle phase in uniform state allows the use of coarser meshes. 4. Conclusions The simulations show that the shape of the bilinear cohesive law can obviously change the stress response, including the overall numerical fluctuation and peak stress. For crack initiation and propagation in a laminated composite structure, overall stress response has weak dependence on the mesh size. Simulation results show that the comparatively larger thickness of the phases in uniform state relaxes the requirement on the mesh size. Acknowledgements Dr. X. Guo acknowledges the support from National Natural Science Foundation of China (Project No. 11102128). Professor J. Lu acknowledges the support from the Research Grants Council of the Hong Kong Special Administrative Region of China under grants CityU8/CRF/08 and GRF/CityU519110, and the Croucher Foundation under grant CityU9500006. References [1] A.Y. Chen, D.F. Li, J.B. Zhang, H.W. Song, J. Lu, Make nanostructured metal exceptionally tough by introducing non-localized fracture behaviors. Scripta Mater, 59 (2008) 579–582. [2] A. Needleman, A continuum model for void nucleation by inclusion debonding. ASME J Appl Mech, 54 (1987) 525–531. [3] X. Guo, A. Y.T. Leung, A.Y. Chen, H. H. Ruan, J. Lu, Investigation of non-local cracking in layered stainless steel with nanostructured interface. Scripta Mater, 63 (2010) 403–406. [4] X. Guo, G.J. Weng, A.K. Soh, Ductility enhancement of layered stainless steel with nanograined interface layers. Comp Mater Sci, 55 (2012) 350–355. [5] N. Chandra, H. Li, C. Shet, H. Ghonem, Some issues in the application of cohesive zone models for metal-ceramic interfaces. Int J Solids Struct, 39 (2002) 2827–2855. [6] ABAQUS, ABAQUS theory manual and user's manual, version 6.10, Dassault (2012). [7] H. Li, N. Chandra, Analysis of crack growth and crack-tip plasticity in ductile materials using cohesive zone models, Int J Plast 19 (2003) 849–882. [8] Z. Zhang, G.H. Paulino, Cohesive zone modeling of dynamic failure in homogeneous and functionally graded materials. Int J Plast, 21 (2005) 1195–1254. [9] P.H. Geubelle, J.S. Baylor, Impact-induced delamination of composites: a 2D simulation. Compos Part B, 29 (1998) 589–602. [10] D.V. Kubair, P.H. Geubelle, Comparative analysis of extrinsic and intrinsic cohesive models of dynamic fracture. Int J Solids Struct, 40 (2003) 3853–3868. [11] E. Sharon, J. Fineberg, Microbranching instability and the dynamic fracture of brittle materials. Phys Rev B, 54 (1996) 7128–7139. [12] J.R. Rice, The mechanics of earthquake rupture. Physics of the Earth’s interior. Italian Physical Society, Italy, North-Holland Publ. Co.: Amsterdam (1980) 555–649.
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