肖建清, 张庆伟, 张士科. Influence and Inverse Deriving Method of the Uniaxial Compressive Strength in Cyclic Loading Test of Rock[J]. 2016, 36(5): 804-810+852. DOI: 10.13409/j.cnki.jdpme.2016.05.017.
Influence and Inverse Deriving Method of the Uniaxial Compressive Strength in Cyclic Loading Test of Rock
摘要
由于岩石疲劳分析中岩样间的个体差异较大
常导致上限应力比计算不准
S与lnN之间的定量关系难以确立
因此准确地估算出岩样强度对于疲劳分析至关重要。首先
基于岩石大样本单轴压缩试验数据及S—N方程
研究了误差传播规律
分析了岩样的个体差异对于疲劳寿命的影响。可知
误差从单轴抗压强度传播至上限应力比
再从上限应力比传播至疲劳寿命
其数值急剧膨胀
单轴抗压强度很小的标准差就会产生疲劳寿命的极度离散
所以疲劳分析中必须使用岩样的强度;其次
构造一个修正回归峰值本构模型
提出了以曲线拟合法估算岩样单轴抗压强度的思路。由静态加载试验数据的拟合结果可知
该本构模型的拟合效果好
估算得出的单轴抗压强度非常接近真实值。最后
基于循环加载试验静态加载段的数据
运用曲线拟合法
分析了4个岩样的等精度试验数据。可知
各试样的单轴抗压强度各不相同
单轴抗压强度越大
则上限应力比越小
疲劳寿命也越高
S与lnN之间具有明确的线性规律。因此
用修正回归峰值本构模型估算岩样真实强度
修正上限应力比的方法
克服了常规疲劳分析法的固有缺陷。
Abstract
Due to the large individual differences between rock samples
the upper stress ratio is unable to be determined and the quantitative relationship between Sand lnN can not be established in rock fatigue analysis.Therefore
it is important to estimate the unconfined compressive strength(UCS)of rock sample.Firstly
the error propagation law and the influence of the individual differences of rock samples on fatigue life are studied on the basis of a large number of test data under uniaxial compression and S-N equation.The results show that the error increases dramatically during spreading from UCS to upper stress ratio
then to fatigue life.A very small standard deviation in UCS may lead to great dispersion in fatigue life.So
the UCS of rock sample instead of the statistical average UCS of rock should be used in fatigue analysis.Secondly
an idea applying curve fitting method to evaluate the UCS of rock sample based on a modified regression peak constitutive model is put forward.And the test data under static loading is fitted with this model.The fitting result show that the evaluated UCS is very close to the true value.Finally
based on the tested data of the static loading segment in cyclic loading test
this curve fitting method is used to analyze the experimental data of four samples under the same test condition.The results show that the UCS of each sample is different and the greater the UCS
the smaller the upper stress ratio and the loger the fatigue life will be.Meanwhile
there is existing obvious linear law between Sand lnN.Therefore
the method revising the upper stress ratio with the sample UCS evaluated by the modified regression peak constitutive model can overcome the inherent defect of the conventional fatigue analysis method.
Fatigue damage variable and evolution of rock subjected to cyclic loading [J] . Jian-Qing Xiao,De-Xin Ding,Fu-Liang Jiang,Gen Xu. International Journal of Rock Mechanics and Mining Sciences . 2010 (3)
Fatigue properties of intact sandstone samples subjected to dynamic uniaxial cyclical loading [J] . International Journal of Rock Mechanics and Mining Sciences . 2004 (2)
An overview of the fatigue behaviour of plain and fibre reinforced concrete [J] . M.K. Lee,B.I.G. Barr. Cement and Concrete Composites . 2003 (4)