基于分数阶黏壶元件的岩石损伤蠕变模型  

Rock Damage Creep Model Based on Fractional Order Clay Pot Element

作　　者：荣传新[1] 王镇森 安刚建 施鑫 RONG Chuanxin;WANG Zhensen;AN Gangjian;SHI Xin(School of Civil Engineeringand Architecture,Anhui University of Science and Technology,Huainan Anhui 232001,China;China Railway Fourth Engineering Group Fourth Engineering Co.,Ltd Company,Hefei Anhui 230012,China)

机构地区：[1]安徽理工大学土木建筑学院,安徽淮南232001 [2]中铁四局集团第四工程有限公司,安徽合肥230012

出　　处：《安徽理工大学学报（自然科学版）》2024年第3期35-41,共7页Journal of Anhui University of Science and Technology:Natural Science

基　　金：中铁四局集团川藏铁路项目技术开发重大专项(2022-CZ-02);矿山地下工程教育部工程研究中心开放基金(JYBGCZX2022106);安徽省住房城乡建设科学技术计划项目(2022-YF019);安徽理工大学引进人才科研启动基金(2021yjrc12)。

摘　　要：目的为了建立一个能描述岩石蠕变全过程的蠕变模型。方法首先以分数阶黏壶元件描述岩石的黏弹性,采用基于Kachanov损伤率公式的损伤体描述岩石的粘塑性并串联一个胡克体建立成只有四个元件的蠕变模型。然后,将其本构方程推广到三维应力状态,考虑球应力,并引入一个屈服函数来准确判断岩石是否发生非稳定蠕变。最后,采用最小二乘法分析得到模型参数,用红砂岩和砂质泥岩的蠕变实验数据验证模型的有效性。结果新的蠕变模型理论曲线与实验数据曲线吻合较好,可以描述岩石蠕变的全过程。结论新的蠕变模型解决了经典模型在描述岩石蠕变时的模型复杂和参数较多的问题,对研究岩石蠕变特性具有一定的参考价值。Objective In order to establish a creep model able to describe the whole creep process.Methods Firstly the Viscoelasticity of rock was described with fractional order clay pot elements and a damage body based on the Kachanov damage rate formula so as to establishe a creep model with only four elements by connecting a Hooker body.Then the constitutive equation was extended to a three-dimensional stress state,by considering spherical stress and introducing a yield function to accurately determine whether the rock undergoes unstable creep.Finally,the model parameters were analyzed by using the least squares method,and the effectiveness of the model was verified by using creep experimental data of red sandstone and sandy mudstone.Results The theoretical curve of the new creep model was in good agreement with the experimental data curve,able to describe the entire process of rock creep and solve the problem of complex models.Conclusion The new creep model is able to solve the problems of the classical models in describing rock creep and has certain refe1rence value for studying rock creep characteristics.

关 键 词：分数阶黏壶元件 损伤 蠕变模型 屈服函数 最小二乘法 

分 类 号：TU452[建筑科学—岩土工程]