Conclusions
The response of elastic/brittle targets to loading by conical-, wedge-and hemispherical-indenter shapes representing jackhammer bit tips was analyzed. Theoretical predictions of crack extent and direction are based on values of the maximum principal strains and the associated extension strain criterion in the target assuming a semi-infinite, homogeneous and isotropic solid.
Corresponding static experiments using an MTS machine and dynamic percussive tests involving an encased circular target disk of Sierra granite have been conducted. The damage pattern consisting of a crater, a crushed zone, a region of multiple minor cracks as well a some longer fissures has been delineated. Comparison with theoretical predictions indicate that cracks are produced by maximum tensile strain, with their directions predicted well by the present theory. The upper bound predictions of the crack extent are also in reasonable accord. Deviations are due to the presence of inhomogeneities and anisotropies in the tests specimens.
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References
Boussinesq, J. (1885): Application des potentials a l'étude de l'équilibre et du mouvement des solides élastiques, Gauthier-Villars, Paris. Discussed in Timoshenko, S. P., and Goodier, J. N., “Theory of Elasticity”. New York: McGraw-Hill (1970), 398–402.
Cook, N. G. W., Hood, M., Tsai, F. (1984): Observations of Crack Growth in Hard Rock Loaded by an Indenter. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr.21 (2), 97–107.
Davies, R. M. (1949): The Determination of Static and Dynamic Yield Stresses Using a Steel Ball. Proc. Roy. Soc. Lond., A 197, 416–432.
Hertz, H. J. (1881): J. reine angew. Math. (Crelle),92, 156–171. Reprinted in English, in “Hertz's Miscellaneous Papers”, London: Macmillan, Chpts.5, 6 (1896).
Kabo, J. M., Goldsmith, W., Sackman, J. L. (1977): Impact and Comminution Processes in Soft and Hard Rock. Rock Mech.9, 213–243.
Kumano, A., Goldsmith, W. (1982a): Behavior of Diorite Under Impact by Variously-Shaped Projectiles. Rock Mech.15, 25–40.
Kumano, A., Goldsmith, W. (1982b): An Analytical and Experimental Investigation of the Effect of Impact on Coarse Granular Rocks. Rock Mech.15, 67–97.
Pang, S. S. (1986): Investigations of Pneumatic Percussive Processes Involving Rocks. Ph. D. Dissertation, Univ. of California, Berkeley.
Stacey, T. R. (1981). A Simple Extension Strain Criterion for Fracture of Brittle Rock. Int. J. Rock Mech. Min. Sci. and Geomech. Abstr.18, 469–471.
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Pang, S.S., Goldsmith, W. Investigation of crack formation during loading of brittle rock. Rock Mech Rock Engng 23, 53–63 (1990). https://doi.org/10.1007/BF01020422
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DOI: https://doi.org/10.1007/BF01020422