Abstract
Abstract Based on the three-dimensional unequal stress state of deep coal-rock mass, the finite element node division method is used to establish the layered composite coal-rock mass model. The elastic parameters of isotropic coal-rock mass and the principle of minimum potential energy are derived to the Hamilton canonical equation of elastic mechanics. The interlayer transfer matrix function of layered coal-rock mass is established, and the accurate analytical solutions of six stress and three displacement component parameters of three-dimensional are obtained. The stress concentration areas of torsional stress in z direction and principal stress and shear stress in xy direction are determined. Combined with the Mohr-Coulomb criterion and the strain energy density distribution of coal and rock mass, the stress state of “tension shear - tension shear – compression shear – tension shear – compression shear – compression shear” formed in each layer of layered coal and rock mass is analyzed, outside the surface center, there are compression-shear and tension-shear stress areas. As well as ' X ' -type shear zones along the radial (horizontal plane) and axial (thickness direction). Under the action of shear and tensile stress, a stepped ' V ' -shaped failure characteristic is formed.
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