13th International Conference on Fracture June 16–21, 2013, Beijing, China -9- cutting and provides a closed form solution for the energy release rate of mixed-mode boundary cracking as determined by the mixed mode singular stress field induced by the sliding contact. The driving forces in the form of Ji-integral for surface crack initiation at the contact boundary, the critical energy release rate and the critical load have been analytically determined. The critical cracking angles, critical loads have also been derived. The present study shows that the frictional coefficient between the indenter and substrate uniquely characterizes the asymptotic singular stress field, and hence is considered as the primary parameter to determine the critical load of the indenter under the condition of slip near the edge of contact. The findings in this study may be helpful for establishing the damage mechanisms in the complex process of rock cutting by tools with the flat-tipped teeth. Acknowledgement This work was supported by National Natural Science Foundation of China (Grant Nos. 50771052 and 50971068, 11272141), Gledden Senior Fellowship from the University of Western Australia, and Natural Science Foundation of Liaoning (Grant Nos. LS2010100 and 20102129). References [1.] E. Giannakopoulos, T. C. Lindley, and S. Suresh, Aspects of connections and life-prediction methodology for fretting-fatigue. Acta Mater, 46 (1998) 2955-2968. [2.] E. Giannakopoulos, T. A. Venkatesh, T. C. Lindley and S. Suresh, The role of adhesion in contact fatigue. Acta Mater, 47 (1999) 4653-4664. [3.] B. Yang and S. Mall, On crack initiation mechanism in fretting fatigue. ASME J. Appl. Mech, 68 (2001) 76-80. [4.] A. I. Nadai, Theory of flow and fracture of solids, McGraw-Hill, New York, 1963. [5.] J. D. Eshelby, The force on an elastic singularity. Phil. Trans. Roy. Soc. London Ser. A, 244 (1951) 87-112. [6.] G. C. Sih. Inelastic behaviour of solids. In: Sih GC editor. Dynamic aspects of crack aspects of crack propagation, New York: Mc-Graw-Hill Book, Co; 1969, p.607-639. [7.] J. R. Rice, A path-independent integral and the approximate analysis of strain concentrated by notches and cracks. ASME J. Appl. Mech, 35 (1968) 379-386. [8.] B. Budiansky and J. R. Rice, Conservation laws and energy-release rates. ASME J. Appl. Mech, 40 (1973) 201-203. [9.] Y. J. Xie and D. A. Hills, Quasibrittle fracture beneath a flat bearing surface. Eng. Fract. Mech, 75 (2008) 1223–1230. [10.] Y. J. Xie, X. Z. Hu, and X. H. Wang, Frictional contact induced crack initiation in incompressible substrate. Eng Fract Mech. 2011; 78: 2947–2956. [11.] Y. J. Xie, A Theory on Cracked Pipe. Int. J. Press. Vessel. and Pip, 75 (1998) 865-869. [12.] Y. J. Xie, X. Zhang and X. H. Wang, An exact method on penny-shaped cracked homogeneous and composite cylinders. Int. J. Solid. and Struct, 38 (2001) 6953-6963. [13.] Y. J. Xie, An analytical method on circumferential periodic cracked pipes and shells. Int. J. Solid. and Struct, 37 (2000) 5189-5201. [14.] H. Tada, P. C. Paris and G. R. Irwin, The stress analysis of cracks handbook (2nd Ed.), Paris Productions, Inc., St. Louis, 1985. [15.] A. Griffith. The Phenomena of rupture and flow in solids. Phil. Trans. Roy. Soc. London Ser. A, 221 (1921) 163-198. [16.] G. P. Cherepanov, Mechanics of brittle fracture, McGraw-Hill International Book Co, New York, 1979.
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