摘要
大直径霍普金生压杆试验表明:云驾岭煤矿无烟煤的动态本构曲线具有显著的塑性屈服特征,初始弹性模量E_b、屈服强度σ_s与极限强度σ_b都随着应变率的增加而提高,但屈服强度最为显著。根据试验曲线的特征,在对既有岩石动态本构模型进行分析和初步的拟合后,引入一个新的损伤型黏弹性本构模型,以1根线性弹簧和2个不同松弛时间的Maxwell体并联的黏弹性模型表达无烟煤显著的塑性流动,2个Maxwell体分别表示无烟煤的低应变率响应和高应变率响应,以动态应力-应变曲线任一点与原点连线的斜率E(ε_i)相对于初始模量E_b的降低来度量损伤D。模型的数值拟合曲线与实测动态本构曲线具有较好的一致性。拟合参数表明,无烟煤对低应变率的响应与混凝土相同,对高应变率的敏感性远远高于混凝土。
Experiments performed on split Hopkinson pressure bar(SHPB) with a large diameter of 75 mm show that the dynamic stress-strain curve of anthracite of Yunjialing coal mine is of distinct plastic yield characteristics: and the initial elastic modulus, yield strength, as well as the ultimate strength go up with strain rate; but there is the best correlation between yield strength and the strain rate. Based on the characteristics of measured dynamic stress-strain curves and analysis of existing dynamic constitutive models of rock, as well as preparatory simulation, a new viscoelastic damage model has been introduced. A linear spring is put to parallel to two Maxwell units with different relaxing time to express distinct plastic flow, and the damage D is equal to the ratio of Eb-E(εi) to Eb, where Eb is the initial elastic modulus and E(εi) is the slope of the line between the origin point and any other point on the tested dynamic stress-strain curve. In the new constitutive model, one Maxwell unit with low relaxing time φ1 is used to describe the low strain rate response of anthracite; and the other one with high relaxing time φ2 to describe high strain rate response of anthracite. Simulated stress-strain curves using the new model is of good consistency with measured curves; and the simulated parameters indicate that the response of the low strain rate of anthracite is just as same as that of concrete; but the response of the high strain rate of anthracite is much more violent than that of concrete.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2006年第11期2258-2263,共6页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金(50374070)
关键词
采矿工程
岩石动力学
无烟煤
动力特性
本构模型
分离式霍普金森压杆
mining engineering
rock dynamics
anthracite
dynamic properties
constitutive model
split Hopkinson pressure bar(SHPB)