基于邓肯-张模型的饱和土统计损伤模拟方法研究
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摘要
为反映饱和土变形的全过程,以某水电工程边坡破碎带饱和土为研究对象,采用CSS-2901TS型土体三轴流变试验机开展固结排水三轴压缩试验。在邓肯-张模型的基础上引入统计损伤理论,建立一种新的饱和土统计损伤本构模型,依据邓肯-张模型自身特性和回归求解的曲线拟合法,给出模型参数的确定方法,并对模型参数进行修正,使模型可反映差异性围压环境。结果表明,所建模型能较好地辨识饱和土变形过程,拟合精度较高,且模型结构简单,参数较少,具有较强的适用性。
In order to reflect the deformation process of saturated soil,the saturated soil in the fracture zone of a slope in a hydropower project is taken as research object and the CSS-2901 TS soil triaxial rheological test machine is used to carry out consolidation drainage triaxial compression test. A new statistical damage constitutive model of saturated soil is established by introducing statistical damage theory based on Duncan-Chang model. The method of determining the parameters of model is given according to the curve fitting method of regression solution and Duncan-Chang model itself,and the model parameters are modified to reflect the different confining pressure environment. The results show that the model can identify the deformation process of saturated soil better and the fitting accuracy is higher. This model has simple structure and less parameters,so it has strong rationality and applicability.
In order to reflect the deformation process of saturated soil,the saturated soil in the fracture zone of a slope in a hydropower project is taken as research object and the CSS-2901 TS soil triaxial rheological test machine is used to carry out consolidation drainage triaxial compression test. A new statistical damage constitutive model of saturated soil is established by introducing statistical damage theory based on Duncan-Chang model. The method of determining the parameters of model is given according to the curve fitting method of regression solution and Duncan-Chang model itself,and the model parameters are modified to reflect the different confining pressure environment. The results show that the model can identify the deformation process of saturated soil better and the fitting accuracy is higher. This model has simple structure and less parameters,so it has strong rationality and applicability.
引文
[1]陈勇,杨迎,曹玲.特殊应力路径下岸坡饱和土体变形特性模拟[J].岩土力学,2017,38(3):672-677.
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[10]CAO Wengui,ZHAO Heng,LI Xiang,et al.Statistical damage model with strain softening and hardening for rocks under the influence of voids and volume changes[J].Canadian Geotechnical Journal,2010,47(8):857-871.
[11]李赛,汪优,秦志浩,等.基于统计损伤本构模型的改进桩-土接触面模型研究[J].岩土力学,2016,37(7):1947-1955.
[12]DONG WEIXIN,HU LIMING,YU Yuzhen,et al.Comparison between Duncan and Chang's EB model and the generalized plasticity model in the analysis of a high earth-rockfill dam[J].Journal of Applied Mathematics,2013(7):1-12.
[2]张向东,李庆文.考虑Weibull分布的饱和风积土统计损伤硬化模型研究[J].防灾减灾工程学报,2015,35(6):726-732.
[3]沈珠江.理论土力学[M].北京:中国水利水电出版社,2000.
[4]赵锡宏,孙红,罗冠威.损伤土力学[M].上海:同济大学出版社,2000.
[5]LEMAITRE J.How to use damage mechanics[J].Nuclear Engineering and Design,1984,80(2):233-245.
[6]KRAJCINOVIC D,SILVA M A G.Statistical aspects of the continuous damage theory[J].International Journal of Solids and Structures,1982,18(7):551-562.
[7]唐春安.岩石破裂过程中的灾变[M].北京:煤炭工业出版社,1993.
[8]曹文贵,张升,赵明华.饱和土变形过程模拟的统计损伤方法研究[J].岩土力学,2008,29(1):13-17.
[9]莫瑞.岩土变形过程模拟的统计损伤方法新探讨[D].长沙:湖南大学,2008.
[10]CAO Wengui,ZHAO Heng,LI Xiang,et al.Statistical damage model with strain softening and hardening for rocks under the influence of voids and volume changes[J].Canadian Geotechnical Journal,2010,47(8):857-871.
[11]李赛,汪优,秦志浩,等.基于统计损伤本构模型的改进桩-土接触面模型研究[J].岩土力学,2016,37(7):1947-1955.
[12]DONG WEIXIN,HU LIMING,YU Yuzhen,et al.Comparison between Duncan and Chang's EB model and the generalized plasticity model in the analysis of a high earth-rockfill dam[J].Journal of Applied Mathematics,2013(7):1-12.