考虑初期损伤的岩石蠕变模型
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摘要
为了描述岩石稳定蠕变阶段的非线性特征,现基于Kachanov提出的损伤律推导了损伤变量在衰减、等速蠕变阶段随时间的演化方程,然后根据Lemaitre应变等效原理得到了有效应力随蠕变时间、初始损伤变量和最小损伤变量的变化关系,再将有效应力代替广义开尔文蠕变模型中的Caucy应力,从而建立了考虑初期损伤的广义开尔文蠕变模型。根据泊江海子煤矿砂质泥岩的三轴压缩蠕变试验数据对广义开尔文蠕变损伤模型进行辨识。辨识结果表明:考虑初期损伤的广义开尔文模型理论曲线和试验曲线吻合度非常高,对衰减和等速阶段的描述效果远好于传统广义开尔文模型。
To describe the nonlinear characteristics of the stable creep stage of rock, the evolution equations of the damage variable with time in the attenuation and constant velocity creep phases were derived based on the damage law proposed by Kachanov. Then the relationship between effective stress and creep time, initial damage variable, and minimum damage variable was obtained using the Lemaitre strain equivalence principle. The effective stress was substituted for the Caucy stress in the generalized Kelvin creep model, and the generalized Kelvin creep model considering the initial damage was established. According to the triaxial compressive creep test data of sandy mudstone in Bojianghaizi Coal Mine, the generalized Kelvin creep damage model was identified. The identification results showed that the generalized Kelvin model considering the initial damage has a very good agreement between the theoretical curve and the experimental curve, and it is much better than the traditional generalized Kelvin model in describing the attenuation and steady stages.
To describe the nonlinear characteristics of the stable creep stage of rock, the evolution equations of the damage variable with time in the attenuation and constant velocity creep phases were derived based on the damage law proposed by Kachanov. Then the relationship between effective stress and creep time, initial damage variable, and minimum damage variable was obtained using the Lemaitre strain equivalence principle. The effective stress was substituted for the Caucy stress in the generalized Kelvin creep model, and the generalized Kelvin creep model considering the initial damage was established. According to the triaxial compressive creep test data of sandy mudstone in Bojianghaizi Coal Mine, the generalized Kelvin creep damage model was identified. The identification results showed that the generalized Kelvin model considering the initial damage has a very good agreement between the theoretical curve and the experimental curve, and it is much better than the traditional generalized Kelvin model in describing the attenuation and steady stages.
引文
[1]郭军杰,张瑞林.采动煤体蠕变失稳研究[J].煤矿安全,2018,49(5):27-30.
[2]杨圣奇,徐鹏.一种新的岩石非线性流变损伤模型研究[J].岩土工程学报,2014,36(10):1846-1854.
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[15]张强勇,向文,江力宇,等.片麻状花岗岩热黏弹塑性损伤蠕变模型及应用研究[J].土木工程学报,2017,50(8):88-97.
[16]朱昌星,阮怀宁,朱珍德,等.岩石非线性蠕变损伤模型的研究[J].岩土工程学报,2008(10):1510-1513.
[17]朱杰兵,汪斌,邬爱清.锦屏水电站绿砂岩三轴卸荷流变实验及非线性损伤蠕变本构模型研究[J].岩石力学与工程学报,2010,29(3):528-534.
[18]Wang Wei,Cao Yajun,Zhu Qizhi,et al.Experimental investigation and constitutive modelling of creepdamage behaviours in monzogranite[J].European Journal of Environmental and Civil Engineering,2015,19(S1):54.
[2]杨圣奇,徐鹏.一种新的岩石非线性流变损伤模型研究[J].岩土工程学报,2014,36(10):1846-1854.
[3]唐皓,赵法锁,段钊,等.基于分数阶微积分改进的黄土西原模型[J].水文地质工程地质,2014,41(5):50-56.
[4]谢文健,龚囱,刘勇锋,等.分级加载条件下红砂岩蠕变特性试验研究[J].中国安全生产科学技术,2017,13(6):34-39.
[5]周睿.沿空留巷充填体蠕变特性数值模拟[J].煤矿安全,2018,49(3):218-221.
[6]高杨,殷跃平,邢爱国,等.鸡尾山高速远程滑坡-碎屑流动力学特征分析[J].中国地质灾害防治学报,2013,24(4):46-51.
[7]王志荣,张利民,韩中阳,等.平顶山盐田互层状盐岩蠕变特性与试验模型研究[J].水文地质工程地质,2014,41(5):125-130.
[8]夏才初,许崇帮,王晓东,等.统一流变力学模型参数的确定方法[J].岩石力学与工程学报,2009,28(2):425-431.
[9]储昭飞,刘保国,孙景来,等.基于Burgers模型的软岩流变相似材料的研究[J].岩石力学与工程学报,2018,37(5):1185-1198.
[10]孙钧,潘晓明.隧道软弱围岩挤压大变形非线性流变力学特性研究[J].岩石力学与工程学报,2012,31(10):1957-1968.
[11]齐亚静,姜清辉,王志俭,等.改进西原模型的三维蠕变本构方程及其参数辨识[J].岩石力学与工程学报,2012,31(2):347-355.
[12]张亮亮,王晓健.改进宾汉姆流变模型及其参数辨识[J].力学与实践,2017,39(6):602-605.
[13]高春艳,高全臣,牛建广.考虑加速蠕变的深井巷道粉砂岩非线性黏弹塑性蠕变模型研究[J].长江科学院院报,2016,33(12):99-104.
[14]范翔宇,梁永昌,张千贵,等.基于煤岩蠕变力学实验的西原模型改进与分析[J].煤矿安全,2016,47(10):212-215.
[15]张强勇,向文,江力宇,等.片麻状花岗岩热黏弹塑性损伤蠕变模型及应用研究[J].土木工程学报,2017,50(8):88-97.
[16]朱昌星,阮怀宁,朱珍德,等.岩石非线性蠕变损伤模型的研究[J].岩土工程学报,2008(10):1510-1513.
[17]朱杰兵,汪斌,邬爱清.锦屏水电站绿砂岩三轴卸荷流变实验及非线性损伤蠕变本构模型研究[J].岩石力学与工程学报,2010,29(3):528-534.
[18]Wang Wei,Cao Yajun,Zhu Qizhi,et al.Experimental investigation and constitutive modelling of creepdamage behaviours in monzogranite[J].European Journal of Environmental and Civil Engineering,2015,19(S1):54.