人民长江2018，Vol.49Issue(7)：81-85,5.DOI:10.16232/j.cnki.1001-4179.2018.07.017
基于分数阶微积分的岩石蠕变损伤本构模型
Creep damage constitutive model of rock mass based on fractional calculus
摘要
Abstract
In order to reflect the characters of rock creep,the triaxial compression creep test of sandstone was carried out by u-sing YSJ-01-00 rock triaxial creep testing machine. Based on the characteristics of rock creep,the elastomer,software compo-nents and visco plastic body based on fractional calculus are used to describe the elastic, viscoelastic and viscoplastic strain of rock respectively. The elastic and viscoplastic body are improved based on the continuous damage theory,and the fractional soft-ware component is improved by SN component. A new constitutive model of three elements for creep damage is established, which is composed of an elastic body considering the time-dependent damage and an unsteady viscous and viscoplastic body based on fractional calculus. The rationality and applicability of the presented model is proved by comparing the test curves and the fitting curves.关键词
分数阶微积分/岩石蠕变/损伤/本构模型/SN元件Key words
fractional calculus/rock creep/damage/constitutive model/SN component分类
天文与地球科学引用本文复制引用
刘峻松,黄海峰,黄敏,杨豪,蓝康文..基于分数阶微积分的岩石蠕变损伤本构模型[J].人民长江,2018,49(7):81-85,5.基金项目
国家自然科学基金项目(51308082,51208069) （51308082,51208069）
四川省教育厅基金项目(15ZA0075) （15ZA0075）
