How to cite this paper
Pryhorovska, T. (2018). Rock heterogeneity numerical simulation as a factor of drill bit instability.Engineering Solid Mechanics, 6(4), 315-330.
Refrences
Akbardoost, J., Ayatollahi, M. R., Aliha, M. R. M., Pavier, M. J., & Smith, D. J. (2014). Size-dependent fracture behavior of Guiting limestone under mixed mode loading. International Journal of Rock Mechanics and Mining Sciences, 71, 369-380.
Al-Shayea, N. A. (2005). Crack propagation trajectories for rocks under mixed mode I–II fracture. Engineering Geology, 81(1), 84-97.
Aliha, M. R. M., & Ayatollahi, M. R. (2014). Rock fracture toughness study using cracked chevron notched Brazilian disc specimen under pure modes I and II loading–A statistical approach. Theoretical and Applied Fracture Mechanics, 69, 17-25.
Aliha, M. R. M., & Bahmani, A. (2017). Rock fracture toughness study under mixed mode I/III loading. Rock Mechanics and Rock Engineering, 50(7), 1739-1751.
Aliha, M. R. M., Ayatollahi, M. R., & Akbardoost, J. (2012). Typical upper bound–lower bound mixed mode fracture resistance envelopes for rock material. Rock Mechanics and Rock Engineering, 45(1), 65-74.
Aliha, M. R. M., Ayatollahi, M. R., & Pakzad, R. (2008). Brittle fracture analysis using a ring-shape specimen containing two angled cracks. International Journal of Fracture, 153(1), 63.
Aliha, M. R. M., Berto, F., Mousavi, A., & Razavi, S. M. J. (2017). On the applicability of ASED criterion for predicting mixed mode I+ II fracture toughness results of a rock material. Theoretical and Applied Fracture Mechanics, 92, 198-204.
Aliha, M. R. M., Hosseinpour, G. R., & Ayatollahi, M. R. (2013). Application of cracked triangular specimen subjected to three-point bending for investigating fracture behavior of rock materials. Rock mechanics and rock engineering, 46(5), 1023-1034.
Aliha, M. R. M., Mahdavi, E., & Ayatollahi, M. R. (2017). The influence of specimen type on tensile fracture toughness of rock materials. Pure and Applied Geophysics, 174(3), 1237-1253.
Ayatollahi, M. R., & Aliha, M. R. M. (2007). Fracture toughness study for a brittle rock subjected to mixed mode I/II loading. International Journal of Rock Mechanics and Mining Sciences, 44(4), 617-624.
Ayatollahi, M. R., & Aliha, M. R. M. (2008). On the use of Brazilian disc specimen for calculating mixed mode I–II fracture toughness of rock materials. Engineering Fracture Mechanics, 75(16), 4631-4641.
Dai, F., Wei, M. D., Xu, N. W., Ma, Y., & Yang, D. S. (2015). Numerical assessment of the progressive rock fracture mechanism of cracked chevron notched Brazilian disc specimens. Rock Mechanics and Rock Engineering, 48(2), 463-479.
Dehghany, M., Saeidi Googarchin, H., & Aliha, M. R. M. (2017). The role of first non‐singular stress terms in mixed mode brittle fracture of V‐notched components: an experimental study. Fatigue & Fracture of Engineering Materials & Structures, 40(4), 623-641.
Depouhon, A., & Detournay, E. (2014). Instability regimes and self-excited vibrations in deep drilling systems. Journal of Sound and Vibration, 333(7), 2019-2039.
Evans, I., & Pomeroy, C. D. (1966). The strength, fracture and workability of coal. Pergamon.
Fakhri, M., Amoosoltani, E., & Aliha, M. R. M. (2017). Crack behavior analysis of roller compacted concrete mixtures containing reclaimed asphalt pavement and crumb rubber. Engineering Fracture Mechanics, 180, 43-59.
Guo, H., Aziz, N. I., & Schmidt, L. C. (1993). Rock fracture-toughness determination by the Brazilian test. Engineering Geology, 33(3), 177-188.
Ingraffea, A. R. (1981, January). Mixed-mode fracture initiation in Indiana limestone and Westerly granite. In The 22nd US Symposium on Rock Mechanics (USRMS). American Rock Mechanics Association.
Jin, Y., Yuan, J., Chen, M., Chen, K. P., Lu, Y., & Wang, H. (2011). Determination of rock fracture toughness K IIC and its relationship with tensile strength. Rock Mechanics and Rock Engineering, 44(5), 621.
Ju, P., Wang, Z., Zhai, Y., Su, D., Zhang, Y., & Cao, Z. (2014). Numerical simulation study on the optimization design of the crown shape of PDC drill bit. Journal of Petroleum Exploration and Production Technology, 4(4), 343-350.
Lim, I. L., Johnston, I. W., Choi, S. K., & Boland, J. N. (1994, June). Fracture testing of a soft rock with semi-circular specimens under three-point bending. Part 2—mixed-mode. In International journal of rock mechanics and mining sciences & geomechanics abstracts (Vol. 31, No. 3, pp. 199-212). Pergamon.
Merchant, M. E. (1945). Mechanics of the metal cutting process. I. Orthogonal cutting and a type 2 chip. Journal of Applied Physics, 16(5), 267-275.
Mirsayar, M. M., Berto, F., Aliha, M. R. M., & Park, P. (2016). Strain-based criteria for mixed-mode fracture of polycrystalline graphite. Engineering Fracture Mechanics, 156, 114-123.
Mirsayar, M. M., Razmi, A., Aliha, M. R. M., & Berto, F. (2018). EMTSN criterion for evaluating mixed mode I/II crack propagation in rock materials. Engineering Fracture Mechanics, 190, 186-197.
Nishimatsu, Y. (1972, March). The mechanics of rock cutting. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts (Vol. 9, No. 2, pp. 261-270). Pergamon.
Razavi, S. M. J., Aliha, M. R. M., & Berto, F. (2017). Application of an average strain energy density criterion to obtain the mixed mode fracture load of granite rock tested with the cracked asymmetric four-point bend specimens. Theoretical and Applied Fracture Mechanics.
Richard, T., Germay, C., & Detournay, E. (2001). Self-excited stick-slip oscillations of drag bits (Doctoral dissertation, University of Minnesota).
Simanjuntak, T. D. Y. F., Marence, M., Mynett, A. E., & Schleiss, A. J. (2014). Effect of rock mass anisotropy on deformations and stresses around tunnels during excavation. In Proceedings of the International Symposium on Dams in Global Environmental Challenges, Bali, Indonesia. pp. II-129–II-136.
Spanos, P. D., Chevallier, A. M., & Politis, N. P. (2002). Nonlinear stochastic drill-string vibrations. Journal of Vibration and Acoustics, 124(4), 512-518.
Villeneuve, M. C., Diederichs, M. S., & Kaiser, P. K. (2011). Effects of grain scale heterogeneity on rock strength and the chipping process. International Journal of Geomechanics, 12(6), 632-647.
Wei, M. D., Dai, F., Xu, N. W., Liu, J. F., & Xu, Y. (2016b). Experimental and numerical study on the cracked chevron notched semi-circular bend method for characterizing the mode I fracture toughness of rocks. Rock Mechanics and Rock Engineering, 49(5), 1595-1609.
Wei, M. D., Dai, F., Xu, N. W., Zhao, T., & Xia, K. W. (2016a). Experimental and numerical study on the fracture process zone and fracture toughness determination for ISRM-suggested semi-circular bend rock specimen. Engineering Fracture Mechanics, 154, 43-56.
Wojtanowicz, A. K., & Kuru, E. (1993). Mathematical modeling of PDC bit drilling process based on a single-cutter mechanics. Journal of Energy Resources Technology, 115(4), 247-256.
Zhu, W. C., & Tang, C. A. (2002). Numerical simulation on shear fracture process of concrete using mesoscopic mechanical model. Construction and Building Materials, 16(8), 453-463.
Zipf Jr, R. K., & Bieniawski, Z. T. (1990, December). Mixed-mode fracture toughness testing of coal. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts (Vol. 27, No. 6, pp. 479-493). Pergamon.
Al-Shayea, N. A. (2005). Crack propagation trajectories for rocks under mixed mode I–II fracture. Engineering Geology, 81(1), 84-97.
Aliha, M. R. M., & Ayatollahi, M. R. (2014). Rock fracture toughness study using cracked chevron notched Brazilian disc specimen under pure modes I and II loading–A statistical approach. Theoretical and Applied Fracture Mechanics, 69, 17-25.
Aliha, M. R. M., & Bahmani, A. (2017). Rock fracture toughness study under mixed mode I/III loading. Rock Mechanics and Rock Engineering, 50(7), 1739-1751.
Aliha, M. R. M., Ayatollahi, M. R., & Akbardoost, J. (2012). Typical upper bound–lower bound mixed mode fracture resistance envelopes for rock material. Rock Mechanics and Rock Engineering, 45(1), 65-74.
Aliha, M. R. M., Ayatollahi, M. R., & Pakzad, R. (2008). Brittle fracture analysis using a ring-shape specimen containing two angled cracks. International Journal of Fracture, 153(1), 63.
Aliha, M. R. M., Berto, F., Mousavi, A., & Razavi, S. M. J. (2017). On the applicability of ASED criterion for predicting mixed mode I+ II fracture toughness results of a rock material. Theoretical and Applied Fracture Mechanics, 92, 198-204.
Aliha, M. R. M., Hosseinpour, G. R., & Ayatollahi, M. R. (2013). Application of cracked triangular specimen subjected to three-point bending for investigating fracture behavior of rock materials. Rock mechanics and rock engineering, 46(5), 1023-1034.
Aliha, M. R. M., Mahdavi, E., & Ayatollahi, M. R. (2017). The influence of specimen type on tensile fracture toughness of rock materials. Pure and Applied Geophysics, 174(3), 1237-1253.
Ayatollahi, M. R., & Aliha, M. R. M. (2007). Fracture toughness study for a brittle rock subjected to mixed mode I/II loading. International Journal of Rock Mechanics and Mining Sciences, 44(4), 617-624.
Ayatollahi, M. R., & Aliha, M. R. M. (2008). On the use of Brazilian disc specimen for calculating mixed mode I–II fracture toughness of rock materials. Engineering Fracture Mechanics, 75(16), 4631-4641.
Dai, F., Wei, M. D., Xu, N. W., Ma, Y., & Yang, D. S. (2015). Numerical assessment of the progressive rock fracture mechanism of cracked chevron notched Brazilian disc specimens. Rock Mechanics and Rock Engineering, 48(2), 463-479.
Dehghany, M., Saeidi Googarchin, H., & Aliha, M. R. M. (2017). The role of first non‐singular stress terms in mixed mode brittle fracture of V‐notched components: an experimental study. Fatigue & Fracture of Engineering Materials & Structures, 40(4), 623-641.
Depouhon, A., & Detournay, E. (2014). Instability regimes and self-excited vibrations in deep drilling systems. Journal of Sound and Vibration, 333(7), 2019-2039.
Evans, I., & Pomeroy, C. D. (1966). The strength, fracture and workability of coal. Pergamon.
Fakhri, M., Amoosoltani, E., & Aliha, M. R. M. (2017). Crack behavior analysis of roller compacted concrete mixtures containing reclaimed asphalt pavement and crumb rubber. Engineering Fracture Mechanics, 180, 43-59.
Guo, H., Aziz, N. I., & Schmidt, L. C. (1993). Rock fracture-toughness determination by the Brazilian test. Engineering Geology, 33(3), 177-188.
Ingraffea, A. R. (1981, January). Mixed-mode fracture initiation in Indiana limestone and Westerly granite. In The 22nd US Symposium on Rock Mechanics (USRMS). American Rock Mechanics Association.
Jin, Y., Yuan, J., Chen, M., Chen, K. P., Lu, Y., & Wang, H. (2011). Determination of rock fracture toughness K IIC and its relationship with tensile strength. Rock Mechanics and Rock Engineering, 44(5), 621.
Ju, P., Wang, Z., Zhai, Y., Su, D., Zhang, Y., & Cao, Z. (2014). Numerical simulation study on the optimization design of the crown shape of PDC drill bit. Journal of Petroleum Exploration and Production Technology, 4(4), 343-350.
Lim, I. L., Johnston, I. W., Choi, S. K., & Boland, J. N. (1994, June). Fracture testing of a soft rock with semi-circular specimens under three-point bending. Part 2—mixed-mode. In International journal of rock mechanics and mining sciences & geomechanics abstracts (Vol. 31, No. 3, pp. 199-212). Pergamon.
Merchant, M. E. (1945). Mechanics of the metal cutting process. I. Orthogonal cutting and a type 2 chip. Journal of Applied Physics, 16(5), 267-275.
Mirsayar, M. M., Berto, F., Aliha, M. R. M., & Park, P. (2016). Strain-based criteria for mixed-mode fracture of polycrystalline graphite. Engineering Fracture Mechanics, 156, 114-123.
Mirsayar, M. M., Razmi, A., Aliha, M. R. M., & Berto, F. (2018). EMTSN criterion for evaluating mixed mode I/II crack propagation in rock materials. Engineering Fracture Mechanics, 190, 186-197.
Nishimatsu, Y. (1972, March). The mechanics of rock cutting. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts (Vol. 9, No. 2, pp. 261-270). Pergamon.
Razavi, S. M. J., Aliha, M. R. M., & Berto, F. (2017). Application of an average strain energy density criterion to obtain the mixed mode fracture load of granite rock tested with the cracked asymmetric four-point bend specimens. Theoretical and Applied Fracture Mechanics.
Richard, T., Germay, C., & Detournay, E. (2001). Self-excited stick-slip oscillations of drag bits (Doctoral dissertation, University of Minnesota).
Simanjuntak, T. D. Y. F., Marence, M., Mynett, A. E., & Schleiss, A. J. (2014). Effect of rock mass anisotropy on deformations and stresses around tunnels during excavation. In Proceedings of the International Symposium on Dams in Global Environmental Challenges, Bali, Indonesia. pp. II-129–II-136.
Spanos, P. D., Chevallier, A. M., & Politis, N. P. (2002). Nonlinear stochastic drill-string vibrations. Journal of Vibration and Acoustics, 124(4), 512-518.
Villeneuve, M. C., Diederichs, M. S., & Kaiser, P. K. (2011). Effects of grain scale heterogeneity on rock strength and the chipping process. International Journal of Geomechanics, 12(6), 632-647.
Wei, M. D., Dai, F., Xu, N. W., Liu, J. F., & Xu, Y. (2016b). Experimental and numerical study on the cracked chevron notched semi-circular bend method for characterizing the mode I fracture toughness of rocks. Rock Mechanics and Rock Engineering, 49(5), 1595-1609.
Wei, M. D., Dai, F., Xu, N. W., Zhao, T., & Xia, K. W. (2016a). Experimental and numerical study on the fracture process zone and fracture toughness determination for ISRM-suggested semi-circular bend rock specimen. Engineering Fracture Mechanics, 154, 43-56.
Wojtanowicz, A. K., & Kuru, E. (1993). Mathematical modeling of PDC bit drilling process based on a single-cutter mechanics. Journal of Energy Resources Technology, 115(4), 247-256.
Zhu, W. C., & Tang, C. A. (2002). Numerical simulation on shear fracture process of concrete using mesoscopic mechanical model. Construction and Building Materials, 16(8), 453-463.
Zipf Jr, R. K., & Bieniawski, Z. T. (1990, December). Mixed-mode fracture toughness testing of coal. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts (Vol. 27, No. 6, pp. 479-493). Pergamon.