The stress -strain curves of dolomites can be confirmed by uniaxial compression tests in the dry and different water contents, and the change of compression strength, elastic modulus, and Poisson ratio with the water content were also obtained; through defining the change of immersion time as the damage variables, its variation law with the compression strength and elastic modulus were analyzed, when replacing the law with those, a new constitutive relation with immersion time was achieved. According to the research: compared the stress-strain curve from constitutive relation with actual curve, the results indicate that: the majority agrees well with the actual, the model can well reflect the dolomite damage process under different immersion time, in this case, Weibull distribution parameter m determines the theoretical constitutive model for shape of the curve; establish the statistical constitutive model of rock damage with the peak strength changing with the immersion time through the curves, when the value is constant, m have a trend that first decrease and then increase with the increasing of immersion time, m in the immersing are always smaller than those in the dry, in this situation m cannot determine the theoretical constitutive model for shape of the curve.
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