The invention relates to a method for establishing damaged rock constitutive relation by utilizing
residual strength. The method comprises the following steps of: carrying out a rock indoor
triaxial compression experiment, measuring the
axle load sigma1, the confining pressure sigma 3, the
peak value intensity strain Epsilon 1c and the residual intensity sigma r of a
rock sample, calculating the rock
elastic modulus E and poisson ratio Mu, carrying out
data regression according to
triaxial compression test results, and calculating the uniaxial
compressive strength sigma ci and an experience intensity parameter mi of a rock block; then establishing a three-dimensional damage statistic constitutive relation capable of reflecting a rock post-peak
softening characteristic; and finally, solving constitutive relation parameters n and F0 according to four boundary conditions of a rock full-stress-strain curve geometric characteristic, and drawing a constitutive relation curve by utilizing
Matlab software. The constitutive relation can fully reflect rock post-peak
softening and residual intensity characteristics, and can describe the full-stress-strain relation of the rock damage process well, so that a theory formula well corresponds to the actual condition of a rock material; and the method can be realized simply, is widely applied to the
theory analysis of the rock material, and has an actual value.