13th International Conference on Fracture June 16–21, 2013, Beijing, China -10- interface under mixed mode loading conditions. In the first one the crack kinking analysis based on linear fracture mechanics approach and to crack propagation criteria, was considered. Stress intensity factors were calculated and the crack kinking into the core was predicted. In the second one a cohesive damage model was developed to simulate crack propagation and kinking into the core in terms of cohesive parameters. The damage model was implemented in a finite element model. The numerical applications analyzed were in good agreement with the experimental results and in addition predict satisfactory the crack propagation and kinking into the core. References [1] L.A. Carlsson, S. Prasad, Interfacial fracture of sandwich beams. Eng Fract Mech, 44 (1993) 581-590. [2] N. Kulkarni, H. Mahfuz, S. Jeelani, L.A. Carlsson, Fatigue crack growth and life prediction of foam core sandwich composites under flexural loading. Comp Struct, 59 (2003) 499-505. [3] C. Berggreen, B.C. Simonsen, K.K. Borum, Prediction of debond propagation in sandwich beams under FE-bared Fracture Mechanics and NDI Techniques. Journal Comp Mat, 41 (2007) 493-520. [4] E.E. Theotokoglou, D. Hortis, L.A. Carlsson, H. Mahfuz, Numerical study of fractured sandwich composites under flexural loading. Journal Sandwich Str Mat, 10 (2008) 75-94. [5] E.E. Theotokoglou, I.I. Tourlomousis, Crack kinking in sandwich structures under three point bending. Theor Appl Fract Mech, 30 (2010) 158-164. [6] G.I. Barrenblat, The mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech, 7 (1962) 55-129. [7] X.P. Xu, A. Needleman, Numerical simulations of fast crack growth in brittle solids. J. Mech. Phys. Solids, 42 (1994) 1397-1434. [8] A.B. de Morais, M.F.S.F. de Moura, J.P.M. Goncalves, P.P. Camanho, Analysis of crack propagation in double cantilever beam tests of multidirectional laminates. Mech Mat, 35 (2003) 641-652. [9] B.F. Sorensen, P. Kirkegaard, Determination of mixed mode cohesive laws. Engineering Fracture Mechanics, 73, pp. 2642-2661 (2006). [10]P. Kyoungsoo, G.H. Paulino, J.A. Roesler, A unified potential-based cohesive model of mixed-mode fracture. J. Mech. Phys. Solids, 57 (2009) 891-908. [11] D.A. Ramantani, M.F.S.F. de Moura, R.D.S.G. Campilho, A.T. Marques, Fracture characterization of sandwich structures interfaces under mode I loading. Comp Sci Techn, 70 (2010) 1386-1394. [12]D.A. Ramantani, R.D.S.G. Campilho, M.F.S.F. de Moura, A.T. Marques, Stress and failure analysis of repaired sandwich composite beams using a cohesive damage model. Journal Sandwich StrMat, 12 (2010) 369-390. [13]El- S. Sayed, S. Sridharar, Cohesive layer models for predicting delamination growth and crack kinking in sandwich structures. Int Journal Fr, 117 (2002) 63-84. [14]G. C. Sih, Strain energy density factor applied to mixed mode crack problems. Int Journal Fr Mech 10 (1974) 305-321. [15]F. Erdogan, G. C. Sih, On the extension in plates under plane loading and transverse shear. Jour Basic Eng, 85 (1963) 519-527. [16]Hibbit, Karlsson and Sorensen, Inc., Abaqus/Standard and Abaqus/Explicit version 5.8, Pawtucket, USA (1999).
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