长江科学院院报2018，Vol.35Issue(2)：109-115,7.DOI:10.11988/ckyyb.20170454
低动应力下岩石分数阶Burgers本构模型
Fractional-order Burgers Constitutive Model for Rock under Low Dynamic Stress
摘要
Abstract
The deformation characteristics of rock under dynamic loading is a common problem in geotechnical engineering.In this article,a Fractional-order Burgers Model (FBM) which reflects the deformation characteristics of rock under low dynamic stress is established by replacing constant Maxwell dashpot of Burgers model with fractionalorder dashpot based on fractional calculus.The dynamic loading is decomposed into a static loading and a cyclic loading with an zero average stress by stress decomposition method.According to rheological mechanics theory,the rheology constitutive equation for rock based on FBM is given under the static loading;and meanwhile according to viscoelastic mechanics theory,the dynamic response constitutive equation of rock based on FBM is deduced under the cyclic loading in consideration of the influence of rock damage,fracture and plastic deformation on energy storage and energy dissipation compliance.Furthermore,a new constitutive equation for rock is obtained by superimposing the constitutive equations under the two stress conditions.Compared with existing test results of rock under dynamic loading,the FBM could better describe the deformation characteristics of rock under low dynamic stress in deceleration stage and constant velocity stage;moreover the FBM parameters can be obtained conveniently by numerical methods.关键词
岩石动力学/低动应力/分数阶黏壶/分数阶Burgers模型/流变力学Key words
rock dynamic mechanics/low dynamic stress/fractional-order dashpot/Fractional-order Burgers Model (FBM)/rheological mechanics分类
建筑与水利引用本文复制引用
浦少云,黄质宏,饶军应,穆锐,郑红超,王田龙,刘小浪,李磊,王义红..低动应力下岩石分数阶Burgers本构模型[J].长江科学院院报,2018,35(2):109-115,7.基金项目
国家自然科学基金项目(51608141) （51608141）
贵州大学引进人才科研项目(贵大人基合字(2015)16) （贵大人基合字(2015）
