考虑裂隙塑性的岩石非线性分数阶蠕变模型  

A nonlinear creep model based on fractional order theory considering the plasticity of fissures for rocks

作　　者：梅胜尧 王伟[1,2] 秦志军[3] 朱其志 王豫宛[1,2] 周倩瑶 MEI Shengyao;WANG Wei;QIN Zhijun;ZHU Qizhi;WANG Yuwan;ZHOU Qianyao(Key Laboratory of Education for Geomechanics and Embankment Engineering,Hohai University,Nanjing 210098,China;Geotechnical Research Institute,Hohai University,Nanjing 210098,China;Transportation Planning Survey&Design Institute of Shanxi Province,Taiyuan 030012,China)

机构地区：[1]河海大学岩土力学与堤坝工程教育部重点实验室,江苏南京210098 [2]河海大学岩土工程科学研究所,江苏南京210098 [3]山西省交通规划勘察设计院,山西太原030012

出　　处：《河海大学学报（自然科学版）》2019年第6期548-554,共7页Journal of Hohai University(Natural Sciences)

基　　金：国家重点研发计划(2017YFC1501100);国家自然科学基金(11672343,51679068)

摘　　要：为了有效地描述岩石蠕变的加速阶段考虑岩石裂隙压密闭合效应,基于分数阶微积分理论,在模型中加入裂隙塑性元件,并引入变截面黏壶和塑性元件并联成一个非线性黏塑性体,建立五元件非线性蠕变模型。推导出模型的蠕变本构方程,并利用该模型对岩石蠕变试验数据进行拟合,确定模型的蠕变参数。结果表明,该模型能够很好地描述岩石蠕变的三阶段,具有合理性和可行性。In order to effectively describe the acceleration stage of rock creep and consider the compacting closure effect of rock fissures, a fractured plastic element is added to the model based on the fractional calculus theory. Then, a nonlinear creep model with five elements is established by introducing a variable section dashpot and a plastic element into a nonlinear visco-plastic body in parallel. The creep constitutive equation of this model is deduced, and the creep parameters are determined by fitting the data of rock creep test. The results show that the model can well describe three stages of rock creep, and it is reasonable and feasible.

关 键 词：岩石蠕变 分数阶 塑性 非线性 变截面黏壶 裂隙塑性元件 本构模型 

分 类 号：TU45[建筑科学—岩土工程]