References
- Akbardoost, J. and Ayatollahi, M.R. (2014), "Experimental analysis of mixed mode crack propagation in brittle rocks: The effect of non-singular terms", Eng. Fract. Mech., 129, 77-89. http://doi.org/10.1016/j.engfracmech.2014.05.016.
- Aliha, M.R.M. and Ayatollahi, M.R. (2011), "Mixed mode I/II brittle fracture evaluation of marble using SCB specimen", Procedia Eng., 10, 311-318. http://doi.org/10.1016/j.proeng.2011.04.054.
- Aliha, M.R.M. and Bahmani, A. (2017), "Rock fracture toughness study under mixed mode I/III loading", Rock Mech. Rock Eng., 50(7), 1739-1751. https://doi.org/10.1007/s00603-017-1201-7.
- Aliha, M.R.M., Ayatollahi, M.R., Smith, D.J. and Pavier, M.J. (2010), "Geometry and size effects on fracture trajectory in a limestone rock under mixed mode loading", Eng. Fract. Mech., 77(11), 2200-2212. http://doi.org/10.1016/j.engfracmech.2010.03.009.
- Aliha, M.R.M., Bagherifard, S., Akhondi, Sh., Mousavi, S.S., Mousavi, A. and Parsania, H. (2018), "Fracture and microstructural study of bovine bone under mixed mode I/II loading", Procedia Struct. Integrit., 13, 1488-1493. http://doi.org/10.1016/j.prostr.2018.12.306.
- Aliha, M.R.M., Bahmani, A. and Akhondi, S. (2015a), "Numerical analysis of a new mixed mode I/III fracture test specimen", Eng. Fract. Mech., 134, 95-110. https://doi.org/10.1016/j.engfracmech.2014.12.010.
- Aliha, M.R.M., Bahmani, A. and Akhondi, S. (2015b), "Determination of mode III fracture toughness for different materials using a new designed test configuration", Mater. Des., 86, 863-871. https://doi.org/10.1016/j.matdes.2015.08.033.
- Aliha, M.R.M., Hosseinpour, G.R. and Ayatollahi, M.R. (2013), "Application of cracked triangular specimen subjected to three-point bending for investigating fracture behavior of rock materials", Rock Mech. Rock Eng., 46(5), 1023-1034. http://doi.org/10.1007/s00603-012-0325-z.
- Aliha, M.R.M., Shaker, S. and Keymanesh, M.R. (2019), "Low temperature fracture toughness study for bitumen under mixed mode I+ II loading condition", Eng. Fract. Mech., 206, 297-309. http://doi.org/10.1016/j.engfracmech.2018.11.037.
- Aliha, M.R.M., Sistaninia, M., Smith, D.J., Pavier, M.J. and Ayatollahi, M.R. (2012), "Geometry effects and statistical analysis of mode I fracture in guiting limestone", Int. J. Rock Mech. Min. Sci., 51, 128-135. https://doi.org/10.1016/j.ijrmms.2012.01.017.
- Ayatollahi, M.R. and Akbardoost, J. (2012), "Size effects on fracture toughness of quasi-brittle materials-A new approach", Eng. Fract. Mech., 92, 89-100. https://doi.org/10.1016/j.engfracmech.2012.06.005.
- Ayatollahi, M.R. and Akbardoost, J. (2013), "Size effects in mode II brittle fracture of rocks", Eng. Fract. Mech., 112, 165-180. https://doi.org/10.1016/j.engfracmech.2013.10.011.
- Ayatollahi, M.R. and Aliha, M.R.M. (2005), "Cracked Brazilian disc specimen subjected to mode II deformation", Eng. Fract. Mech., 72(4), 493-503. http://dx.doi.org/10.1016/j.engfracmech.2004.05.002.
- Ayatollahi, M.R. and Aliha, M.R.M. (2008), "On the use of Brazilian disc specimen for calculating mixed mode I-II fracture toughness of rock materials", Eng. Fract. Mech., 75(16), 4631-4641. http://doi.org/10.1016/j.engfracmech.2008.06.018.
- Ayatollahi, M.R. and Sedighiani, K. (2012), "Mode I fracture initiation in limestone by strain energy density criterion", Theor. Appl. Fract. Mech., 57(1), 14-18. http://doi.org/10.1016/j.tafmec.2011.12.003.
- Ayatollahi, M.R. and Sistaninia, M. (2011), "Mode ІІ fracture study of rocks using Brazilian disk specimens", Int. J. Rock Mech. Min. Sci., 48(5), 819-826. https://doi.org/10.1016/j.ijrmms.2011.04.017.
- Ayatollahi, M.R. and Zakeri, M. (2017), "An improved definition for mode I and mode II crack problems", Eng. Fract. Mech., 175, 235-246. http://doi.org/10.1016/j.engfracmech.2017.01.027.
- Ayatollahi, M.R., Berto, F., Campagnolo, A., Gallo, P. and Tang, K. (2017), "Review of local strain energy density theory for the fracture assessment of V-notches under mixed mode loading", Eng. Solid Mech., 5(2), 113-132. http://doi.org/10.5267/j.esm.2017.3.001.
- Ayatollahi, M.R., Moghaddam, M.R. and Berto, F. (2015), "A generalized strain energy density criterion for mixed mode fracture analysis in brittle and quasi-brittle materials", Theor. Appl. Fract. Mech., 79, 70-76. http://doi.org/10.1016/j.tafmec.2015.09.004.
- Ayatollahi, M.R., Moghaddam, M.R., Razavi, S.M.J. and Berto, F. (2016), "Geometry effects on fracture trajectory of PMMA samples under pure mode-I loading", Eng. Fract. Mech., 163, 449-461. http://doi.org/10.1016/j.engfracmech.2016.05.014.
- Ayatollahi, M.R., Pavier, M.J. and Smith, D.J. (2002), "Mode I cracks subjected to large T-stresses", Int. J. Fract., 117(2), 159-174. https://doi.org/10.1023/A:1020973802643.
- Campagnolo, A. and Berto, F. (2017), "Some recent criteria for brittle fracture assessment under mode II loading", Eng. Solid Mech., 5(1), 31-38. http://doi.org/10.5267/j.esm.2016.10.002.
- Chang, K.J. (1981), "On the maximum strain criterion-a new approach to the angled crack problem", Eng. Fract. Mech., 14(1), 107-124. https://doi.org/10.1016/0013-7944(81)90021-7.
- Chao, Y.J., Liu, S. and Broviak, B.J. (2001), "Brittle fracture: variation of fracture toughness with constraint and crack curving under mode I conditions", Exp. Mech., 41(3), 232-241. http://doi.org/10.1007/BF02323139.
- Erdogan, F. and Sih, G.C. (1963), "On the crack extension in plates under plane loading and transverse shear", J. Basic Eng., 85(4), 519-525. http://dx.doi.org/10.1115/1.3656897.
- Fowell, R.J., Hudson, J.A., Xu, C., Chen, J. and Zhao, X. (1995), "Suggested method for determining mode I fracture toughness using cracked chevron notched Brazilian disc (CCNBD) specimens", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 7(32), 57-64. http://dx.doi.org/10.1016/0148-9062(94)00015-U.
- Guo, H., Aziz, N.I. and Schmidt, L.C. (1993), "Rock fracture-toughness determination by the Brazilian test", Eng. Geol., 33(3), 177-188. http://doi.org/10.1016/0013-7952(93)90056-I.
- Hibbitt, Karlsson & Sorensen, Inc. (2017), Abaqus 6.14 Manual, Version 6.14, Hibbitt, Karlsson & Sorensen, Inc.
- Hua, W., Dong, S., Pan, X. and Wang, Q. (2017), "Mixed mode fracture analysis of CCBD specimens based on the extended maximum tangential strain criterion", Fatigue Fract. Eng. Mater. Struct., 40(12), 2118-2127. http://doi.org/10.1111/ffe.12638.
- Kumar, C.N.S., Krishna, P. and Kumar, D.R. (2017), "Effect of fiber and aggregate size on mode-I fracture parameters of high strength concrete", Adv. Concrete Constr., 5(6), 613-624. https://doi.org/10.12989/acc.2017.5.6.613.
- Li, Y., Dong, S., Li, K. and Hua, W. (2018), "Numerical simulation and experimental study of three-point bending specimen's I/II mixed mode fracture", J. Exp. Mech., 33(4), 557-566. https://doi.org/10.7520/1001-4888-17-040.
- Maruvanchery, V. and Kim, E. (2019), "Effects of water on rock fracture properties: Studies of mode I fracture toughness, crack propagation velocity, and consumed energy in calcite-cemented sandstone", Geomech. Eng., 17(1), 57-67. https://doi.org/10.12989/gae.2019.17.1.057
- Midhun, M.S., Rao, T.D.G. and Srikrishna, T.C. (2018), "Mechanical and fracture properties of glass fiber reinforced geopolymer concrete", Adv. Concrete Constr., 6(1), 29-45. https://doi.org/10.12989/acc.2018.6.1.029.
- Mirsayar, M.M. (2015), "Mixed mode fracture analysis using extended maximum tangential strain criterion", Mater. Des., 86, 941-947. http://doi.org/10.1016/j.matdes.2015.07.135.
- Mirsayar, M.M., Berto, F., Aliha, M.R.M. and Park, P. (2016), "Strain-based criteria for mixed-mode fracture of polycrystalline graphite", Eng. Fract. Mech., 156, 114-123. https://doi.org/10.1016/j.engfracmech.2016.02.011.
- Mirsayar, M.M., Razmi, A., Aliha, M.R.M. and Berto, F. (2018), "EMTSN criterion for evaluating mixed mode I/II crack propagation in rock materials", Eng. Fract. Mech., 190, 186-197. https://doi.org/10.1016/j.engfracmech.2017.12.014.
- Mousavi, S.S., Aliha, M.R.M. and Imani, D.M. (2020), "On the use of edge cracked short bend beam specimen for PMMA fracture toughness testing under mixed-mode I/II", Polym. Test., 81, 106199. https://doi.org/10.1016/j.polymertesting.2019.106199.
- Ouchterlony, F. (1988), "Suggested methods for determining the fracture toughness of rock", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 25, 71-96.
- Ouchterlony, F. (1990), "Fracture toughness testing of rock with core based specimens", Eng. Fract. Mech., 35(1-3), 351-366. http://doi.org/10.1016/0013-7944(90)90214-2.
- Pour, P.J.H., Aliha, M.R.M. and Keymanesh, M.R. (2018), "Evaluating mode I fracture resistance in asphalt mixtures using edge notched disc bend ENDB specimen with different geometrical and environmental conditions", Eng. Fract. Mech., 190, 245-258. https://doi.org/10.1016/j.engfracmech.2017.11.007.
- Razavi, S.M.J., Aliha, M.R.M. and Berto, F. (2018), "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", Theor. Appl. Fract. Mech., 97, 419-425. https://doi.org/10.1016/j.tafmec.2017.07.004.
- Richard, H.A. and Benitz, K. (1983), "A loading device for the creation of mixed mode in fracture mechanics", Int. J. Fract., 22(2), R55-R58. http://dx.doi.org/10.1007/BF00942726.
- Rizov, V. (2013), "Mixed-mode I/II fracture study of polymer composites using Single Edge Notched Bend specimens", Comput. Mater. Sci., 77, 1-6. http://doi.org/10.1016/j.commatsci.2013.04.021.
- Schmidt, R.A. (1980), "A microcrack model and its significance to hydraulic fracturing and fracture toughness testing", Proceedings of 21st US symposium on Rock Mechanics, Rolla, Missouri, U.S.A., May.
- Shaker, S., Aliha, M.M. andKeymanesh, M. (2019), "Aging effect on combined mode fracture resistance of bitumen", Fatigue Fract. Eng. Mater. Struct., 42(7), 1609-1621. https://doi.org/10.1111/ffe.13003.
- Sih, G.C. (1973), "Some basic problems in fracture mechanics and new concepts", Eng. Fract. Mech., 5(2), 365-377. http://doi.org/10.1016/0013-7944(73)90027-1.
- Sih, G.C. (1974), "Strain-energy-density factor applied to mixed mode crack problems", Int. J. Fract., 10(3), 305-321. http://dx.doi.org/10.1007/BF00035493.
- Singh, R.N. and Sun, G.X. (1989), Relationships Between Fracture Toughness, Hardness Indices and Mechanical Properties of Rocks, Mining Department Magazine, XLI, 49-62.
- Smith, D.J., Ayatollahi, M.R. and Pavier, M.J. (2001), "The role of T-stress in brittle fracture for linear elastic materials under mixed-mode loading", Fatigue Fract. Eng. Mater. Struct., 24(2), 137-150. http://doi.org/10.1046/j.1460-2695.2001.00377.x.
- Wei, M.D., Dai, F., Xu, N.W., Liu, Y. and Zhao, T. (2017), "Fracture prediction of rocks under mode I and mode II loading using the generalized maximum tangential strain criterion", Eng. Fract. Mech., 186, 21-38. http://doi.org/10.1016/j.engfracmech.2017.09.026
- Williams, M.L. (1957), "On the stress distribution at the base of a stationary crack", J. Appl. Mech., 24, 109-114. https://doi.org/10.1115/1.3640470.
- Yukio, U., Kazuo, I., Tetsuya, Y. and Mitsuru, A. (1983), "Characteristics of brittle fracture under general combined modes including those under bi-axial tensile loads", Eng. Fract. Mech., 18(6), 1131-1158. http://doi.org/10.1016/0013-7944(83)90007-3.
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