13th International Conference on Fracture June 16–21, 2013, Beijing, China -7- 5 .Conclusion remarks At the K-dominant zone, a micro-macro cohesive constitutive model is used while at the rest zone, the linear elastic constitutive model is used. By this method, the fracture propagation can well be predicted. The simulation example suggests that the present method is validated. By the present method, the fracture criterion is directly built in the constitutive model. It avoids the choice of separate fracture criterion problem and the computation of stress intensity factor, which brings great convenience to fracture simulation. Acknowledgement: The present work is supported by National Natural Science Foundation of China (No. 11172172), which is gratefully acknowledged. References [1] Barenblatt, G.I., The formulation of equilibrium cracks during brittle fracture: General ideas and hypotheses, axially symmetric cracks. Appl. Math. Mech.( PMM), 23(1959) 622-636. [2] Dugdale, D.S., Yielding of steel sheets containing slits. Journal of mechanics and physics of solids, 8(2)(1960) 100-104. [3] Zhang, Z.N. and H.J. Gao, Simulating fracture propagation in rock and concrete by an augmented virtual internal bond method. International Journal for Numerical and Analytical Methods in Geomechanics, 36 (4)(2012) 459-482. [4] Gao, H.J. and P. Klein, Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bond. Journal of the Mechanics and Physics of Solids, 46(2)(1998) 187-218. [5] Xu, X.P. and A. Needleman, Numerical simulations of fast crack growth in brittle solids. Journal of Mechanics and Physics of Solids, 42(1994) 1397-1434. [6] Yu, R.C., G. Ruiz, and E.W.V. Chaves, A comparative study between discrete and continuum models to simulate concrete fracture. Engineering Fracture Mechanics, 75(2008) 117-127.
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