河南城建学院学报2025，Vol.34Issue(5)：28-35,8.DOI:10.14140/j.cnki.hncjxb.2025.05.005
基于Gompertz函数的冻结岩石应力-应变模型及参数确定
Stress-strain model and parameter determination of frozen rock based on Gompertz function
摘要
Abstract
To address the difficulty of traditional constitutive models in accurately describing the S-shaped stress-strain curve of artificially frozen rocks,this study introduces the Gompertz function model,taking sand-stone as the research subject,and conducts uniaxial and triaxial compression tests under different temperature and confining pressure conditions.The results indicate that the stress-strain behavior of the rock closely mat-ches the Gompertz function curve.Model parameters k,a,and b are solved using the three-stage estimation method,and their variation patterns with temperature and confining pressure are analyzed,leading to the estab-lishment of a Gompertz function stress-strain S-shaped curve model that considers the coupled effect of temper-ature and confining pressure.Compared with the experimental data,the model demonstrates high prediction ac-curacy,with reliability validated through the Monte Carlo method.The study confirms that this model offers ad-vantages such as fewer parameters,clear physical meaning,and wide applicability,providing an effective tool for accurately describing and applying the constitutive relationship of artificially frozen rocks in engineering.关键词
人工冻结法/应力-应变曲线/本构模型/Gompertz函数Key words
artificial freezing method/stress-strain curve/constitutive model/Gompertz function分类
土木建筑引用本文复制引用
姚兆明,朱雯佳,李鹏辉..基于Gompertz函数的冻结岩石应力-应变模型及参数确定[J].河南城建学院学报,2025,34(5):28-35,8.基金项目
矿山地下工程教育部工程研究中心开放研究项目(JYBGCZX2021104) （JYBGCZX2021104）
