在损伤力学理论基础上,根据Lemaitre应变等价性理论,并假定岩石微元强度服从Weibull随机分布,在微元强度度量方法上考虑损伤阀值的影响,结合Lade-Duncan强度破坏准则,建立了统计损伤本构模型.通过岩石三轴应力-应变试验曲线对模型进行验证,拟合效果良好;并针对模型不能反映残余应力阶段特征的不足进行修正.用公式法代替比较法求取损伤修正参数,建立了更加完善的统计损伤本构模型.通过与未修正模型对比发现,修正后的统计损伤模型能更好的模拟岩石破坏全过程的应力应变关系并能表征岩石残余强度特征,从而验证了该模型的合理性和可行性.
Micro-unit strength of rock is randomly distributed based on Lemaitre' s strain equivalence assump- tions. A method for measuring micro-unit strength taking into account the damage threshold. Assuming that the mi- cro-unit strength obeys Weibull distribution, combined with the Lade-Duncan failure criterion, a new statistical damage constitutive model is established. Comparing the results obtained from the triaxial tests and the statistical model based on the Lade-Duncan criterion, the new model can fit the test data well. Then the model is modifed due to the fact that the model can not reflect the characteristics of residual strength and calculating the correction coeffi- cient of damage instead of comparative analysis. Compared with the previous mode, the modified model can better describe the stress-strain relation after failure taking into account the residual strength. The good accord verifies the validity and feasibility of the new model.