锯齿形结构面剪切流变及非线性本构模型分析  

Shear Rheological Characteristics and Nonlinear Constitutive Model of Serrate Structure Surface

作　　者：田光辉[1] 沈明荣[1,2] 杨瑞芳[3] 张清照[1,2] 王振 TIAN Guanghui;SHEN Mingrong;YANG Ruifang;ZHANG Qingzhao;WANG Zhen(College of Civil Engineer,Tongji University,Shanghai 200092,China;Key Laboratory of Geotechnical and Under-ground Engineering,Tongji University,Ministry of Education,Shanghai 200092,China;He＇nan Vocational College of Quality Engineering,Pingdingshan 467000,China)

机构地区：[1]同济大学土木工程学院,上海200092 [2]同济大学岩土及地下工程教育部重点实验室,上海200092 [3]河南质量工程职业学院,河南平顶山467000

出　　处：《西南交通大学学报》2018年第5期1017-1025,共9页Journal of Southwest Jiaotong University

基　　金：国家重点研发计划课题资助项目(2017YFC0806003);国家自然科学基金资助项目(41602287)

摘　　要：为了对岩体结构面的蠕变和松弛特性进行比较分析,用水泥砂浆浇筑成不同角度的结构面试样,在岩石双轴流变试验机上对同一应力起点的规则齿形结构面进行剪切应蠕变试验和松弛试验.首先分析了的蠕变与松弛特性,其次对参数非线性流变本构模型的建立和求解进行探讨,最后采用参数非线性流变方程对试验曲线进行拟合.试验结果表明:结构面剪切蠕变曲线和松弛曲线都可以分为瞬时、衰减和稳定3个阶段;基于能量理论分析蠕变和松弛过程,显示蠕变是能量的注入与耗散过程,而松弛主要是能量的耗散过程;建立非线性流变模型时,应采用流变力学模型理论推导其本构方程;积分法与Laplace变换法求解蠕变方程或松弛方程时,相应的初始条件不相同;考虑黏性系数是与时间相关的非定常参数,提出了参数非线性Maxwell模型的蠕变方程和松弛方程,与试验曲线拟合结果比较理想;蠕变方程和松弛方程的拟合参数值不同,表明蠕变与松弛不等价且不能相互置换.In order to investigate the creep and stress relaxation characteristics of rock mass discontinuity with different slope ratios, the creep and stress relaxation tests of dentate discontinuity poured by cement mortar on the condition of shear stress are carried out by using a biaxial creep machine. First, the comparison of creep and relaxation was made. Secondly, the establishment and solution of nonlinear rheological constitutive model were discussed. Final, nonlinear rheological equation was used to fit the test curve. According to the test results, both creep curves and relaxation curves can be divided into three stages：the instantaneous stage, attenuation stage, and stable stage. From the energy perspective, creep is the process of energy accumulation and dissipation, and stress relaxation is the process of energy dissipation. The constitutive equation of nonlinear rheological model should be deduced by using rheological theory. The initial condition of creep is different to that of relaxation when the finite integration method and Laplace transformation is used to solve equations. The creep equation and relaxation equation of the nonlinear-parameters Maxwell model are obtained by determining the relation between the viscosity coefficient and time, and the equation curves agree with the test results. The parameter values of the creep equation is different to that of relaxation equation, which reveal that the creep properties are not equivalent to the relaxation properties and creep and relaxation cannot be mutual conversion.

关 键 词：结构面 蠕变 松弛 非线性流变模型 蠕变方程与松弛方程 等价 

分 类 号：TU45[建筑科学—岩土工程]