ICF13A

13th International Conference on Fracture June 16–21, 2013, Beijing, China -7- Acknowledgements The work reported here was supported by State key Laboratory of Hydroscience and Hydraulic Engineering under grant No. 2013-KY-2 and China National Funds for Distinguished Young Scientists under grant No. 50925931. References [1] G. R. Irwin, Fracture dynamics, in: Fracturing of metals. Cleveland: Am. Soc. Metals, 1948. 147–166. [2] E. Orowan, Fracture and strength of solids, in: Rep. on Progr. in Phys., 1948. 185. [3] G. R. Irwin, Analysis of stresses and strains near the end of a crack transversing a plate. J. Appl. Mech., 24 (1957) 361–364. [4] A. A. Wells, Application of fracture mechanics at and beyond general yielding. British Welding J, 10 (1963) 563–570. [5] J. R. Rice, A path independent integral and the approximate analysis of strain concentration by notches and cracks, Journal of Applied Mechanics, 35 (1968) 379-386. [6] Yang Q., Liu Y. R., Chen Y. R., Zhou W. Y., Deformation reinforcement theory and global stability and reinforcement of high arch dams. Chin J Rock Mech Eng, 6 (2008) 1121–1136. [7] Yang Q., Chen X., Zhou W. Y., Yang R. Q., On unbalanced forces in 3D elastoplastic finite element analysis. Chin J Geotech Eng, 3 (2004) 323–326. [8] Liu Y. R., Chang Q., Yang Q., WANG C. Q., GUAN F. H., Fracture analysis of rock mass based on 3-D nonlinear Finite Element Method. Sci China Tech Sci, 54 (2011) 556–564. [9] Yang Q., Leng K. D., Chang Q., Liu Y. R., Failure mechanism and control of geotechnical structures. Yang Q., et al. (Eds.), Constitutive Modeling of Geomaterials, Springer Berlin Heidelberg, 2013, pp. 63-87. [10]Simo, J. C., Kennedy, J. G., Govindjee, S., Non-smooth multisurface plasticity and viscoplasticity, Loading/unloading conditions and numerical algorithms. Int. J. Numer. Methods Engrg. 26 (1988) 2161–2185.

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