摘要
岩石蠕变是一个显著的非线性问题,而经典的Burgers模型是一种线性蠕变模型,必然不能全面地描述岩石蠕变的全过程.当岩石处于高应力水平下的加速蠕变阶段,岩石内部损伤会不断产生和累积,蠕变呈现出明显的非线性特征.为了更好地描述考虑损伤的岩石蠕变全过程,本文假定加速蠕变阶段的损伤演化方程,将损伤引入到Burgers模型中,提出了一种非线性蠕变损伤模型.然后以乔后盐矿试件蠕变实测数据为分析案例,验证模型在应用于实际工程时的准确性和适用性.最后根据Origin软件数值拟合的结果,表明本文所提出的非线性蠕变损伤模型能很好地描述岩石蠕变全过程,模型参数取值也在合理范围之内,模型拟合曲线与实验所得数据具有较好的一致性.
The problem of rock creep has significant nonlinearity, but the classical Burgers model is linear, which can not comprehensively describe the whole process of rock creep. When the rock is in the accelerated creep stage at high stress level, the creep behavior shows obvious nonlinear characteristics as the internal damage of rock is generated and accumulated. Firstly, in order to describe the whole creep process of rock precisely, this paper proposes a nonlinear creep damage model by assuming the damage evolution equation and introducing the damage into the Burgers model at the accelerated creep stage. Secondly, the creep test data of Chaohou Salt Mine specimen is used to verify the accuracy and applicability of the model. Finally, according to the results of numerical fitting by Origin software, it is shown that the nonlinear creep damage model proposed in this paper can well describe the whole process of rock creep, the magnitudes of model parameters are within reasonable ranges, and the model fitting curve is in good agreement with the data obtained from the experiment.
引文
[1]陈沅江.岩石流变的本构模型及其智能辨识研究[D].长沙:中南大学,2003.
[2]蔡煜,曹平.基于Burgers模型考虑损伤的非定常岩石蠕变模型[J].岩土力学,2016,37(S2):369-374.
[3]付冰骏.陈宗基院士生平[J].岩石力学与工程动态,2002,8(3):1-9.
[4]蒲成志,曹平,张春阳,等.考虑时效损伤劣化的变参数非线性蠕变模型[J].工程力学,2017,6:17-27.
[5]孙钧.岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报,2007,26(6):1081-1115.
[6]VYALOV S S.Rheological fundamentals of soil mechanics[M].New York:Elsevier,1986.
[7]许宏发.软岩强度和弹模的时间效应研究[J].岩石力学与工程学报,1997,16(3):246-251.
[8]丁志坤,吕爱钟.岩石粘弹性非定常蠕变方程的参数辨识[J].岩土力学,2004,25(S1):37-40.
[9]XU T,TANG C A,ZHAO J,et al.Modelling the time-dependent rheological behaviour of heterogeneous brittle rocks[J].Geophysical Journal International,2012,189(3):1781-1796.
[10]徐卫亚,杨圣奇,谢守益,等.绿片岩三轴流变力学特性的研究(II):模型分析[J].岩土力学,2005,26(5):693-698.
[11]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,2008,30(10):1510-1513.
[12]高文华,陈秋南,黄自永,等.考虑流变参数弱化综合影响的软岩蠕变损伤本构模型及其参数智能辨识[J].土木工程学报,2012,45(2):104-110.
[13]邱贤德,姜永东,阎宗岭,等.岩盐的蠕变损伤破坏分析[J].重庆大学学报,2003,26(5):106-109.
[14]孙钧.岩土材料流变及其工程应用[M].北京:中国建筑工业出版社,1999.
[15]蒋昱州,徐卫亚,王瑞红,等.岩石非线性蠕变损伤模型研究[J].中国矿业大学学报,2009,5(3):331-335.