岩石三维非线性黏弹塑性损伤蠕变模型研究  

Study on 3D Nonlinear Viscoelastic-Plastic Damage Creep Model of Rock

作　　者：虎积元 盛冬发 陈泰聪 李子恒 俞红全 HU Jiyuan;SHENG Dongfa;CHEN Taicong;LI Ziheng;YU Hongquan(School of Civil Engineering,Southwest Forestry University,Kunming,Yunnan 650224,China)

机构地区：[1]西南林业大学土木工程学院,云南昆明650224

出　　处：《河北工程大学学报（自然科学版）》2024年第2期36-42,共7页Journal of Hebei University of Engineering:Natural Science Edition

基　　金：国家自然科学基金资助项目(11862023);云南省教育厅科学研究基金资助项目(2024Y602)。

摘　　要：为了准确描述岩石蠕变曲线的各阶段特征,将Kelvin模型中黏壶元件的黏滞系数定义为与时间相关的函数,并根据蠕变损伤理论构建了一个考虑蠕变参数随时间劣化的损伤黏弹塑性体,进而将弹性体、非线性Kelvin体、黏性体和损伤黏弹塑性体进行串联,提出了可以描述岩石蠕变全过程的非线性黏弹塑性损伤蠕变模型,并合理推导了该模型在恒应力情况下的一维和三维蠕变方程。最后,根据相关蠕变试验数据进行参数识别来验证损伤蠕变模型的有效性,对比分析理论模型和试验数据的相关性,结果表明该模型能很好地描述岩石蠕变全过程,且相关系数均在0.92以上。In order to accurately characterize the various stages of the rock creep curve,the viscous co-efficient of the viscous pot element in the Kelvin model is defined as a time-dependent function and a damage viscoelastic body is constructed by considering the deterioration of creep parameters over time according to the creep damage theory.Then,the elastomers,nonlinear Kelvin body,viscous body and damage viscoelastic body are connected in series,and a nonlinear viscoelastic plastic damage creep model that can describe the entire process of rock creep is proposed.The one-dimensional and three-di-mensional creep equations of the model under constant stress are reasonably derived.Finally,a parame-ter identification is performed based on relevant creep test data to verify the effectiveness of the damage creep model.A comparative analysis is conducted on the correlation between the theoretical model and experimental data,and the results show that the model can well describe the entire process of rock creep,with correlation coefficients above 0.92.

关 键 词：岩石蠕变 损伤 非线性 黏滞系数 黏弹塑性 

分 类 号：TU452[建筑科学—岩土工程]