深部硬脆性岩石分数阶蠕变损伤模型研究  

Fractional creep damage model for brittle hard rock in depth

作　　者：邵珠山[1,2,3] 朱意明 陈浩哲 韩邹红 黄新彩 张媛媛 SHAO Zhushan;ZHU Yiming;CHEN Haozhe;HAN Zouhong;HUANG Xincai;ZHANG Yuanyuan(Shaanxi Key Laboratory of Geotechnical and Underground Space Engineering,Xi'an University of Architecture and Technology,710055 Xi'an,China;School of Science,Xi'an University of Architecture and Technology,710055 Xi'an,China;School of Civil Engineering,Xi'an University of Architecture and Technology,710055 Xi'an,China)

机构地区：[1]西安建筑科技大学陕西省岩土与地下空间工程重点实验室,西安710055 [2]西安建筑科技大学理学院,西安710055 [3]西安建筑科技大学土木工程学院,西安710055

出　　处：《应用力学学报》2024年第4期853-860,共8页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金资助项目(No.11872287);陕西省重点研发计划资助项目(No.2019ZDLGY01-10)。

摘　　要：硬脆性岩石与软弱岩石一样会发生蠕变破坏,因此研究其蠕变特性对围岩的稳定性具有重要意义。假设黏滞系数与初始弹性模量的幂次方成正比,以此表征岩石初始的软硬和致密状态对其蠕变行为的影响,提出一种改进的分数阶非线性黏滞体,以描述衰减和稳定蠕变阶段的黏弹性特征;根据连续损伤力学理论,引入损伤因子,建立了考虑时效损伤的分数阶非线性损伤黏塑性体,以描述加速蠕变阶段的力学行为。将胡克体、改进分数阶非线性黏滞体和分数阶非线性损伤黏塑性体串联,建立一个硬脆性岩石非线性蠕变损伤模型,并验证其合理性,试验曲线与模型理论曲线吻合良好,说明该模型能较好描述硬脆性岩石蠕变全过程。对模型参数进行敏感性分析,讨论其对蠕变行为的影响,结果表明相关参数对准确描述硬脆性岩石的蠕变特征有重要作用。Hard brittle rock would occur creep failure like the soft rock,therefore,the investigations on the creep behavior of brittle hard rock is of great significance to the stability of surrounding rock.To characterize the effect of the initial hardness and compactness of rock on its creep behavior,an improved fractional nonlinear viscous body,whose viscosity coefficient is proportional to the power of the initial elastic modulus,was proposed to describe the viscoelastic characteristics in the decay and steady creep stages.According to the theory of continuum damage mechanics,a fractional nonlinear damage visco-plastic body considering time-dependent damage,which can describe the mechanical behavior of accelerated creep,was established by introducing a damage factor.Furthermore,connecting Hooke's body,the improved fractional nonlinear viscous body and the fractional nonlinear damage visco-plastic body in series,a fractional creep damage model of brittle hard rock was established,and its rationality was verified by an experimental data.The experimental curve is in good agreement with the theoretical curve of the model,which shows that the model can better describe the whole creep process of brittle hard rock.Next,the sensitivity of the parameters was analyzed,and the influence of the parameters on the creep behavior is discussed.The results show the relevant parameters play an important role in correctly describing the creep characteristics of hard brittle rock.

关 键 词：蠕变模型 硬脆性岩石 分数阶微积分 时效损伤 

分 类 号：TU452[建筑科学—岩土工程]