基于统一强度理论的岩石统计损伤软化本构模型及其参数研究  

Study on Rock Statistical Damage Softening Constitutive Model and Its Parameters Based on the Unified Strength Theory

作　　者：潘继良 郭奇峰[1,2,3] 田莉梅[1,4] 武旭 汪敏[1] PAN Jiliang;GUO Qifeng;TIAN Limei;WU Xu;WANG Min(School of Civil and Resource Engineering,University of Science and Technology Beijing,Beijing 100083,China;Key Laboratory of High-Efficient Mining and Safety of Metal Mines of Ministry of Education,Beijing 100083,China;Beijing Key Laboratory of Urban Underground Space Engineering,Beijing 100083,China;Institute of Architectural Civil Engineering,Langfang Teachers University,Langfang,Hebei 065000,China)

机构地区：[1]北京科技大学土木与资源工程学院,北京100083 [2]北京科技大学金属矿山高效开采与安全教育部重点实验室,北京100083 [3]北京科技大学城市与地下空间工程北京市重点实验室,北京100083 [4]廊坊师范学院建筑工程学院,河北廊坊市065000

出　　处：《矿业研究与开发》2019年第8期38-42,共5页Mining Research and Development

基　　金：国家自然科学基金资助项目(51774022);国家重点研发计划项目(2016YFC0600703,2017YFC0804101,2016YFC0600801)

摘　　要：假设岩石材料的损伤服从三参数Weibull分布,首先引入损伤阀值的思想,建立岩石统计损伤演化模型;其次,基于统一强度理论和Lemaitre应变等价性假设,引入Lode参数,建立一种可以考虑中间主应力的岩石统计损伤软化本构模型,并推导出模型参数的解析解;最后,通过与试验结果进行对比,验证了所建立的统计损伤本构方程及其参数确定的合理性。研究结果表明:该本构模型参数获取简单,能够较好地反映岩石的偏应力-应变关系,尤其是各级围压下的岩石损伤初始点和峰后应变软化特性。Assuming that the damage of rock obeys the three-parameter Weibull distribution,the statistical damage evolution model was established by adopting the idea of damage threshold.Then,based on the unified strength theory and the Lemaitre strain equivalence hypothesis,by introducing Lode parameters,a rock statistical damage softening constitutive model which can consider the in-termediate principal stress was established,and the an-alytic solution of the model parameters was deduced.Finally,through comparing with the experimental results,the rationality of the statistical damage constitutive equation and its parameters was verified.The results showed that the proposed constitutive model could well predict the relationship between stress and strain of rock,especially the initial point of rock damage and the characteristic of post-peak strain softening under different confining pressures.

关 键 词：统计损伤本构模型 统一强度理论 三参数WEIBULL分布 中间主应力 损伤阀值 

分 类 号：TU452[建筑科学—岩土工程]