温度与围压耦合作用下基于Weibull分布的岩石损伤本构模型  

A Damage Constitutive Model for Rock Based on Weibull Distribution Under Coupling Action of Temperature and Confining Pressure

作　　者：陈有亮[1,2] 肖鹏 杜曦 王苏然[4] 拉菲格·阿扎姆 CHEN Youliang;XIAO Peng;DU Xi;WANG Suran;R.AZZAM(School of Environment and Architecture,University of Shanghai for Science and Technology,Shanghai 200093,China;Department of Engineering Geology and Hydrogeology,RWTH Aachen University,Aachen 52064,Germany;School of Civil and Environmental Engineering,University of New South Wales,Sydney 2052,Australia;Department of underground architecture and engineering,Tongji University,Shanghai 200093,China)

机构地区：[1]上海理工大学环境与建筑学院,上海200093 [2]亚琛工业大学工程地质与水文地质系,亚琛52064 [3]新南威尔士大学土木与环境工程学院,悉尼2052 [4]同济大学地下建筑与工程系,上海200093

出　　处：《工业建筑》2022年第8期160-167,共8页Industrial Construction

基　　金：国家自然科学基金项目(10872133);上海市软科学研究领域重点项目(18692106100)。

摘　　要：基于Lemaitre应变等价性假设理论,假定受热-力耦合损伤的岩石微元强度服从Weibull分布,考虑温度与围压耦合作用对岩石力学参数的影响,采用损伤力学理论,引入热损伤变量和力损伤变量,在微元破坏符合D-P准则条件下,建立岩石热-力耦合损伤演化方程及本构模型,采用理论推导的方法得出所需的模型参数。通过对比所构建的岩石热-力耦合损伤本构模型曲线和试验曲线的峰值点,结果表明两者吻合度较好,能够很好反映岩石在温度和围压耦合作用下的损伤演化和本构关系,验证了该模型及模型参数确定方法的合理性和可靠性。模型所需的模型参数均可通过实验室常规三轴试验获得。Based on Lemaitre’s hypothesis theory of strain equivalence, it was assumed that the micro-element strength of rock subjected to thermal-mechanical coupling damage followed the Weibull distribution. Considering the influence of temperature and confining pressure coupling on rock mechanical parameters, the thermal-mechanical damage variables were introduced by the damage mechanic theory. In the condition that the microelement failure conformed to the D-P criterion, the damage evolution equation for coupling of temperature and mechanics and the constitutive model of rock were established. The required model parameters were derived by the theory. Comparing between the peak points in the established constitutire model curves for thermal-mechanical coupling demage and experimental curves, the results showed that the two curves were in good agreement, the model could well reflect the damage evolution and the constitutive relation for rock in the coupling of temperature and confining pressure. The rationality and reliability of the model and the method to determine the model parameters were verified. The model parameters required by the model could be obtained by conventional triaxial tests in laboratory.

关 键 词：岩石力学 损伤力学 WEIBULL分布 热-力耦合作用 损伤演化 本构模型 

分 类 号：TU45[建筑科学—岩土工程]