For the mechanical characteristic of the crack surface closure and friction sliding undercompression-shear load,Kolossoff-Muskhelishvilli stress function of the cracked rockmass subjected to compression and shear load is firstly established based on Muskhelishvili complex function theory. Then the calculation formulae of the stress intensity factor K and three T-stress components at the crack tip considering three kinds of crack parameters (namely geometry parameter,friction strength parameter and deformation parameter) are proposed. Secondly,a revised maximum tangential stress criterion is obtained by incorporating T-stress at the crack tip and three kinds of crack parameters into the classic maximum tangential stress(MTS) criterion. Meanwhile this proposed criterion assumes that the crack deformation parameter such as crack normal and shear stiffness is not a constant and is closely related to the stress characteristic on the crack face. Additionally,the crack deformation parameters for different crack dip angles are given. Finally,the experiment results of the wing-crack initiation angle under compression and shear load are adopted to preliminarily valid the revised criterion. It indicates that it is necessary to consider the crack deformation parameter.
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