基于成都黏土蠕变试验的非定常蠕变本构模型研究
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摘要
针对黏土的蠕变特性对工程造成不利影响的问题,开展了成都黏土的常规三轴固结不排水试验和三轴固结不排水蠕变试验,分析其蠕变特性、应力-应变关系、弹性模量和黏滞系数的非定常性;同时,基于分数阶导数理论,利用软体元件替换常规黏性元件,并且考虑黏土弹性模量和黏滞系数的非定常性,构建了成都黏土的非定常蠕变本构模型,对本构模型进行了拟合和辨识分析,得到了成都黏土的长期强度值。结果表明:弹性模量和黏滞系数的非定常性包括时效特性和加载特性两方面,蠕变模型元件包括瞬时弹性元件、黏弹性元件和黏塑性元件;拟合的各项参数变化规律与室内试验规律一致,尤其是对加速蠕变阶段的拟合度极高,所构建的模型具有充分的合理性和可靠性。
Aiming at the problem of adverse effects of the creep characteristics of clay on engineering,the conventional three-axis consolidation undrained test and three-axis consolidation undrained creep test on Chengdu clay were studied.The unsteady performances of creep characteristics,isochronous stress-strain relationship, elastic modulus and the viscosity coefficient of Chengdu clay were analyzed.Meanwhile,based on the fractional derivative theory,replacing the conventional viscous elements with software components,and considering the unsteady characteristics of the elastic modulus and viscosity coefficient of clay,the unsteady creep constitutive model of Chengdu clay was constructed,and the constitutive model was fitted and identified.Through the above analysis,the long-term strength value of Chengdu clay was obtained.The results show that the unsteady performances of elastic modulus and viscosity coefficient of Chengdu clay include two aspects of timeliness and loading characteristics.The creep model elements include transient elastic elements,viscoelastic elements and viscoplastic elements.The variation rule of the fitting parameters is consistent with the indoor test rule,especially for the accelerated creep stage.The constructed model is reasonable and reliable.
Aiming at the problem of adverse effects of the creep characteristics of clay on engineering,the conventional three-axis consolidation undrained test and three-axis consolidation undrained creep test on Chengdu clay were studied.The unsteady performances of creep characteristics,isochronous stress-strain relationship, elastic modulus and the viscosity coefficient of Chengdu clay were analyzed.Meanwhile,based on the fractional derivative theory,replacing the conventional viscous elements with software components,and considering the unsteady characteristics of the elastic modulus and viscosity coefficient of clay,the unsteady creep constitutive model of Chengdu clay was constructed,and the constitutive model was fitted and identified.Through the above analysis,the long-term strength value of Chengdu clay was obtained.The results show that the unsteady performances of elastic modulus and viscosity coefficient of Chengdu clay include two aspects of timeliness and loading characteristics.The creep model elements include transient elastic elements,viscoelastic elements and viscoplastic elements.The variation rule of the fitting parameters is consistent with the indoor test rule,especially for the accelerated creep stage.The constructed model is reasonable and reliable.
引文
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[12]陈亮,陈寿根,张恒,等.基于分数阶微积分的非线性黏弹塑性蠕变模型[J].四川大学学报:工程科学版,2013,45(3):7-11.CHEN Liang,CHEN Shou-gen,ZHANG Heng,et al.A Nonlinear Viscoelasto-plastic Creep Model Based on Fractional Calculus[J].Journal of Sichuan University:Engineering Science Edition,2013,45(3):7-11.
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[14]KOELLER R C.Application of Fractional Calculus to the Theory of Viscoelasticity[J].Journal of Applied Mechanics,1984,51(2):299-307.
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[16]SCOTT-BLAIR G W.Analytical and Integrative Aspects of the Stress-strain-time Problem[J].Journal of Scientific Instruments,1944,21(5):80-84.
[17]夏才初,王晓东,许崇帮,等.用统一流变力学模型理论辨识流变模型的方法和实例[J].岩石力学与工程学报,2008,27(8):1594-1600.XIA Cai-chu,WANG Xiao-dong,XU Chong-bang,et al.Method to Identify Rheological Models by Unified Rheological Model Theory and Case Study[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(8):1594-1600.
[18]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.SUN Jun.Rheology of Geo-material and Its Engineering Application[M].Beijing:China Architecture&Building Press,1999.
[19]朱杰兵,汪斌,邬爱清.锦屏水电站绿砂岩三轴卸荷流变试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.ZHU Jie-bing,WANG Bin,WU Ai-qing.Study of Unloading Triaxial Rheological Tests and Its Nonlinear Damage Constitutive Model of Jinping Hydropower Station Green Sandstone[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(3):528-534.
[20]张晓超,郑海军.成都黏土蠕变试验及其蠕变模型研究[J].实验技术与管理,2010,27(10):52-55.ZHANG Xiao-chao,ZHENG Hai-jun.Creep Tests on Chengdu Clay and Its Creep Models[J].Experimental Technology and Management,2010,27(10):52-55.
[2]李珍玉,肖宏彬,金文婷,等.南宁膨胀土非线性流变模型研究[J].岩土力学,2012,33(8):2297-2302.LI Zhen-yu,XIAO Hong-bin,JIN Wen-ting,et al.Study of Nonlinear Rheological Model of Nanning Expansive Soils[J].Rock and Soil Mechanics,2012,33(8):2297-2302.
[3]肖宏彬,贺聪,周伟,等.南宁膨胀土非线性剪切应力松弛特性试验[J].岩土力学,2013,34(增1):22-27.XIAO Hong-bin,HE Cong,ZHOU Wei,et al.Experimental Study of Nonlinear Shear Stress Relaxation Characteristics of Nanning Expansive Soil[J].Rock and Soil Mechanics,2013,34(S1):22-27.
[4]肖宏彬,范志强,张春顺,等.非饱和膨胀土非线性流变特性试验研究[J].公路工程,2009,34(2):1-5,26.XIAO Hong-bin,FAN Zhi-qiang,ZHANG Chunshun,et al.Experimental Study on Non-linear Rheological Characteristics of Unsaturated Expansive Soils[J].Highway Engineering,2009,34(2):1-5,26.
[5]肖宏彬,马千里,金文婷.非饱和膨胀土非线性经验蠕变模型的研究[J].中南林业科技大学学报,2011,31(6):1-5.XIAO Hong-bin,MA Qian-li,JIN Wen-ting.Experimental Study on Experiential Model Considering Nonlinear Creep of Unsaturated Expansive Soil[J].Journal of Central South University of Forestry&Technology,2011,31(6):1-5.
[6]肖宏彬,范志强,苗鹏.基于膨胀土蠕变试验的粘弹性模型对比研究[J].自然灾害学报,2009,18(3):72-78.XIAO Hong-bin,FAN Zhi-qiang,MIAO Peng.Comparative Study on Viscoelastic Models Based on Creep Tests of Expansive Soils[J].Journal of Natural Disasters,2009,18(3):72-78.
[7]殷德顺,任俊娟,和成亮,等.一种新的岩土流变模型元件[J].岩石力学与工程学报,2007,26(9):1899-1903.YIN De-shun,REN Jun-juan,HE Cheng-liang,et al.A New Rheological Model Element for Geomaterials[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(9):1899-1903.
[8]殷德顺,和成亮,陈文.岩土应变硬化指数理论及其分数阶微积分理论基础[J].岩土工程学报,2010,32(5):762-766.YIN De-shun,HE Cheng-liang,CHEN Wen.Theory of Geotechnical Strain Hardening Index and Its Rationale from Fractional Order Calculus[J].Chinese Journal of Geotechnical Engineering,2010,32(5):762-766.
[9]殷德顺,任俊娟,和成亮,等.基于分数阶微积分理论的软土应力-应变关系[J].岩石力学与工程学报,2009,28(增1):2973-2979.YIN De-shun,REN Jun-juan,HE Cheng-liang,et al.Stress-stain Relation of Soft Soil Based on Fractional Calculus Operators Theory[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(S1):2973-2979.
[10]何志磊,朱珍德,朱明礼,等.基于分数阶导数的非定常蠕变本构模型研究[J].岩土力学,2016,37(3):737-744,775.HE Zhi-lei,ZHU Zhen-de,ZHU Ming-li,et al.An Unsteady Creep Constitutive Model Based on Fractional Order Derivatives[J].Rock and Soil Mechanics,2016,37(3):737-744,775.
[11]郭佳奇,乔春生,徐冲,等.基于分数阶微积分的Kelvin-Voigt流变模型[J].中国铁道科学,2009,30(4):1-6.GUO Jia-qi,QIAO Chun-sheng,XU Chong,et al.The Kelvin-Voigt Rheological Model Based on Fractional Calculus[J].China Railway Science,2009,30(4):1-6.
[12]陈亮,陈寿根,张恒,等.基于分数阶微积分的非线性黏弹塑性蠕变模型[J].四川大学学报:工程科学版,2013,45(3):7-11.CHEN Liang,CHEN Shou-gen,ZHANG Heng,et al.A Nonlinear Viscoelasto-plastic Creep Model Based on Fractional Calculus[J].Journal of Sichuan University:Engineering Science Edition,2013,45(3):7-11.
[13]李锐铎,乐金朝.基于分数阶导数的软土非线性流变本构模型[J].应用基础与工程科学学报,2014,22(5):856-864.LI Rui-duo,YUE Jin-chao.Nonlinear Rheological Constitute of Soft Soil Based on Fractional Order Derivative Theory[J].Journal of Basic Science and Engineering,2014,22(5):856-864.
[14]KOELLER R C.Application of Fractional Calculus to the Theory of Viscoelasticity[J].Journal of Applied Mechanics,1984,51(2):299-307.
[15]ADOLFSSON K,ENELUND M,OLSSON P.On the Fractional Order Model of Viscoelasticity[J].Mechanics of Time-dependent Materials,2005,9(1):15-34.
[16]SCOTT-BLAIR G W.Analytical and Integrative Aspects of the Stress-strain-time Problem[J].Journal of Scientific Instruments,1944,21(5):80-84.
[17]夏才初,王晓东,许崇帮,等.用统一流变力学模型理论辨识流变模型的方法和实例[J].岩石力学与工程学报,2008,27(8):1594-1600.XIA Cai-chu,WANG Xiao-dong,XU Chong-bang,et al.Method to Identify Rheological Models by Unified Rheological Model Theory and Case Study[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(8):1594-1600.
[18]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.SUN Jun.Rheology of Geo-material and Its Engineering Application[M].Beijing:China Architecture&Building Press,1999.
[19]朱杰兵,汪斌,邬爱清.锦屏水电站绿砂岩三轴卸荷流变试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.ZHU Jie-bing,WANG Bin,WU Ai-qing.Study of Unloading Triaxial Rheological Tests and Its Nonlinear Damage Constitutive Model of Jinping Hydropower Station Green Sandstone[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(3):528-534.
[20]张晓超,郑海军.成都黏土蠕变试验及其蠕变模型研究[J].实验技术与管理,2010,27(10):52-55.ZHANG Xiao-chao,ZHENG Hai-jun.Creep Tests on Chengdu Clay and Its Creep Models[J].Experimental Technology and Management,2010,27(10):52-55.