1.Mining and Design Branch, China Coal Research Institute, Beijing , China;2.Department of Mining and Design, Tiandi Science andTechnology Company Limited, Beijing , China;3.State Key Lab of Coal Resource High Efficient Mining and Clean Utilization,China Coal Research Institute, Beijing , China

针对现有膨胀本构模型的局限性,基于湿度场理论和膨胀性试验,分析侧限自由膨胀和有荷膨胀的膨胀率,推导的本构模型具有理论基础,其中的参数变量具有物理意义。研究结果表明:膨胀本构模型中应变与应力的对数和应力的线性组合呈负相关的函数关系,当轴向应力较小时近似采用对数函数拟合,轴向应力较大时近似采用线性函数拟合;膨胀岩的吸水率与轴向应力呈负对数函数关系;拟合的本构模型中相关系数达0.97,说明此本构模型对相关数据拟合具有较好的一致性,研究结果可为三维膨胀理论提供指导。

According to the limitation of the available expansion constitutive model, based on the humidity field theory and expansion test, the expansion rates of the free expansion and loaded expansion under the lateral restraint were analyzed and the derived constitutive model would have the theoretical base. Among them, the parameter variation would have the physical significance. The study result showed that in the expansion constitutive model, the strain and stress logarithms and the stress linear combination would be in negative correlation function relationship. When an axial stress was small, a logarithmic function fitting could be applied approximately. When an axial stress was high, a linear function fitting could be applied approximately. A water absorption rate of the expansive rock and the axial stress would be in a negative logarithmic function relation.In the fitted constitutive model, the related coefficient would be over 0.97 and could say that the constitutive model could have a good consistency to the related data fitting. The study results could provide the guidance to the 3D expansive theory.

国家自然科学基金煤炭联合基金重点资助项目(U1261211)；天地科技股份有限公司开采设计事业部生产力转化基金资助项目(KJ-2015-TDKC-06)；