Brazilian test: stress field and tensile strength of anisotropic rocks using an analytical solution

By J. Claesson, B. Bohloli. 2002

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On the link between fracture toughness, tensile strength, and fracture process zone in anisotropic rocks (2018, background): “…of stress in a Brazilian disk with transversely isotropic material has been136 given by Chen et al. (1998); Exadaktylos and Kaklis (2001) and Claesson and Bohloli (2002).137 These studies are based on the Lekhnitskiy’s anisotropic elasticity solution (Lekhnitskiy, 1969),138 and show that…”
Anisotropic elastic, strength, and fracture properties of Marcellus shale (2017, methodology): “The expression of indirect tensile strength from Brazilian test for anisotropic rocks was derived analytically by Claesson and Bohloli,72 and can be written as ⎜ ⎟= ⎡ ⎣ ⎢ − ⎛ ⎝ − ⎞ ⎠ ⎤ ⎦ ⎥ P πdh E E θ bBTS 2 ( / ) cos(4 ) 4 1 ,h v θcos(2 )4 (11) where = −b E E G ν E0.”