Issue 41

Ch. F. Markides et alii, Frattura ed Integrità Strutturale, 41 (2017) 396-411; DOI: 10.3221/IGF-ESIS.41.51 410 problem, it is absolutely necessary for the role of these stresses to be thoroughly explored. Along the same lines, and despite a first attempt made here to approximately obtain the length of the contact arc of the “transtropic” disc compressed between the ISRM jaws [1] (by properly modifying the relevant formulae of the isotropic disc-jaw contact problem (Eqs.(2), (3))), use of the latter should be also made with consciousness, until further analytical and experimental results are available. R EFERENCES [1] ISRM, Suggested methods for determining tensile strength of rock materials, International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 15(3) (1978) 99-103. [2] ASTM, Standard test method for splitting tensile strength of intact rock core specimens, D3967-08, ASTM Volume 04.08 Soil and Rock (I): D420 D5876 (2014). [3] Hobbs, D.W., An assessment of a technique for determining the tensile strength of rock, British Journal of Applied Physics, 16 (1965) 259-269. [4] Fairhurst, C., On the Validity of the ‘Brazilian’ Test for Brittle Materials, International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, 1 (1964) 535-546. [5] Mellor, M., Hawkes, I., Measurement of tensile strength by diametral compression of discs and annuli, Engineering Geology, 5 (1971) 173-225. [6] Hooper, J.A., The failure of glass cylinders in diametral compression, Journal of Mechanics and Physics of Solids, 19 (1971) 179-200. [7] Markides, Ch.F., Pazis, D.N., Kourkoulis, S.K., Closed full-field solutions for stresses and displacements in the Brazilian disk under distributed radial load, International Journal of Rock Mechanics and Mining Sciences, 47(2) (2010) 227- 237. [8] Carneiro, F.L.L.B., A new method to determine the tensile strength of concrete (in Portuguese), in: Proceedings of the 5 th Meeting of the Brazilian Association for Technical Rules, 3d. Section, 16 September (1943) 126-129. [9] Akazawa, T., New test method for evaluating internal stress due to compression of concrete (the splitting tension test) (part1), Journal of Japan Society of Civil Engineers, 29 (1943) 777-787. [10] Hondros, G., The evaluation of Poisson’s ratio and the modulus of materials of a low tensile resistance by the Brazilian (indirect tensile) test with particular reference to concrete. Australian Journal of Applied Sciences, 10 (1959) 243-268. [11] Barla, G., Innaurato, N., Indirect tensile testing of anisotropic rocks, Rock Mechanics, 5 (1973) 215-230. [12] Amadei, B., Importance of anisotropy when estimating and measuring in situ stresses in rock, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 33(3) (1996) 293-325. [13] Exadaktylos, G.E., Kaklis, K.N., Applications of an explicit solution for the transversely isotropic circular disc compressed diametrically, International Journal of Rock Mechanics and Mining Sciences, 38(2) (2001) 227-243. [14] Markides, Ch.F., Kourkoulis S.K., The displacement field in an orthotropic disc under parabolic pressure. Application to the case of transverse isotropy, Procedia Structural Integrity, 3 (2017) 334-345. [15] Markides, Ch.F., Kourkoulis, S.K., Chatzistergos, P.E., The standardized Brazilian disc test as a contact problem, International Journal of Rock Mechanics and Mining Sciences, 57 (2012) 132-141. [16] Markides, Ch.F., Kourkoulis, S.K., The stress field in a standardized Brazilian disc: The influence of the loading type acting on the actual contact length, Rock Mechanics & Rock Engineering, 45(2) (2012) 145-158. [17] Markides, Ch.F., Kourkoulis, S.K., The influence of jaws’ curvature on the results of the Brazilian-disc test, Journal of Rock Mechanics and Geotechnical Engineering, 8(2) (2016) 127-146. [18] Lekhnitskii, S. G., Theory of Elasticity of an Anisotropic Body, Mir, Moscow (1981). [19] Muskhelishvili, N. I., Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff, Groningen, The Netherlands (1963). [20] Lekhnitskii, S. G., Anisotropic Plates (English translation by Tsai, S. W.), Gordon and Breach, New York (1968). [21] Peltier, R., Étude théorique de l'essai brésilien, RILEM Bulletin, 19 (1954) 29-69. [22] Barenbaum, R., Brodie, I., Measurement of the tensile strength of brittle materials, British Journal of Applied Physics, 10(6) (1959) 281-287. [23] Rudnick, A., Hunter, A.R., Holden, F.C., An analysis of the diametral compression test, Materials Research and Stan- dards, 3(4) (1963) 283-289. [24] Addinall, E., Hackett, P., Tensile failure in rock-like materials. In: Spokes, E.M., Christiansen, C.R. (Eds), Proceedings of the 6 th Symposium on Rock Mechanics. Rolla: University of Missouri at Rolla, (1964) 515–538.