胶结砂砾石坝坝料双屈服面弹塑性本构模型研究Study on elastoplastic constitutive model with the double-yield surface of cement-sand-gravel material
江敏敏,李文伟,向欣,郭兴文,蔡新
摘要(Abstract):
【目的】为了准确预测不同胶结材料用量及围压下胶结砂砾石料的应力变形特征,【方法】采用理论推导与试验结果分析相结合的方法,在广义塑性位势理论框架下,依据胶结砂砾石料力学特性三轴试验结果,构建了新的剪切屈服函数和体积屈服函数。结合可反映硬化规律的塑性系数以及加卸载准则,建立了一个双屈服面本构模型,随后对比分析胶结材料用量20 kg/m~3、60 kg/m~3以及100 kg/m~3的胶结砂砾石料三轴剪切试验数据及本构模型的计算值。【结果】研究结果表明,抛物线型剪切屈服函数与椭圆型体积屈服函数可很好地反映胶结砂砾石料的剪切变形与体积变形机制。【结论】新的本构模型充分考虑了胶结材料用量、围压对胶结砂砾石料塑性变形、峰值强度、剪胀性等特性的影响;模型参数共有12个确定简单且物理意义明确的参数;该双屈服面本构模型的应力应变预测值与相应的三轴试验数据基本吻合。
关键词(KeyWords): 胶结砂砾石料;胶结材料用量;双屈服面;弹塑性模型
基金项目(Foundation): 国家重点研发计划项目课题(2018YFC0406804);; 国家自然科学基金重点项目(U2040222)
作者(Author): 江敏敏,李文伟,向欣,郭兴文,蔡新
DOI: 10.13928/j.cnki.wrahe.2023.03.008
参考文献(References):
- [1] 贾金生,刘宁,郑璀莹,等.胶结颗粒料坝研究进展与工程应用[J].水利学报,2016,47(3):315-323.JIA Jinsheng,LIU Ning,ZHENG Cuiying,et al.Studies on cemented material dams and its application[J].Journal of Hydraulic Engineering,2016,47(3):315-323.
- [2] RAPHAEL J M.The optimum gravity dam,rapid construction of concrete dams[M].New York:ASCE,1970.
- [3] 贾金生,马锋玲,李新宇,等.胶结砂砾石坝材料特性研究及工程应用[J].水利学报,2006,37(5):578-582.JIA Jinsheng,MA Fengling,LI Xinyu,et al.Study onmaterial characteristics of cement-sand-gravel dam andengineering application[J].Journal of Hydraulic Engineering.2006,35(5):578-582.
- [4] LONDE P,LINO M.Hardfill dam,the faced symmetrical hardfill dam:a new concept for RCC[J].International Water Power & Dam Construction,1992,44(2):19-24.
- [5] CHEN J J,CAI X,LALE E,et al.Centrifuge modeling testing and multiscale analysis of cemented sand and gravel (CSG) dams[J].Construction and Building Materials,2019 (223):605-615.
- [6] 孙明权,郭磊.胶结砂砾石料力学特性、耐久性及坝型研究[M].北京:中国水利水电出版社,2016.SUN Mingquan,GUO Lei.Study on mechanical properties,durability and dam type of cemented sand and gravel[M].Beijing:China Water & Power Press,2016.
- [7] WU M X,DU B,YAO Y C,et al.An experimental study on stress-strain behavior and constitutive model of hardfill materials[J].Science China:Physics,Mechanics & Astronomy,2011,54(11):2015-2024.
- [8] 何蕴龙,刘俊林,李建成.Hardfill筑坝材料应力-应变特性与本构模型研究[J].四川大学学报(工程科学版),2011,43(6):40-47.HE Yunlong,LIU Junlin,LI Jiancheng.Study on the stress-strain property and constitutive model of hardfill material[J].Journal of Sichuan University (Engineering Science Edition),2011,43(6):40-47.
- [9] 蔡新,杨杰,郭兴文.一种新的胶结砂砾石坝坝料应变预测模型[J].中南大学学报(自然科学版),2017,48(6):1594-1599.CAI Xin,YANG Jie,GUO Xingwen.A new model for prediction of deformation on CSG material[J].Journal of Central South University (Science and Technology),2017,48(6):1594-1599.
- [10] LAM D N,BEHZAD F,HADI K.A constitutive model for cemented clays capturing cementation degradation[J].International Journal of Plasticity,2014,56:1-18.
- [11] 蔡新,杨杰,郭兴文,等.胶凝砂砾石料弹塑性本构模型研究[J].岩土工程学报,2016,38(9):1569-1577.CAI Xin,YANG Jie,GUO Xingwen,et al.Elastoplastic constitutive model for cement-sand-gravel material[J].Chinese Journal of Geotechnical Engineering,2016,38(9):1569-1577.
- [12] 魏匡民,陈生水,李国英,等.胶凝粗粒料的弹塑性模型与应用研究[J].岩土工程学报,2019,41(5):797-805.WEI Kuangmin,CHEN Shengshui,LI Guoying,et al.Elastoplastic model for cemented coarse-grained materials and its application [J].Chinese Journal of Geotechnical Engineering,2019,41(5):797-805.
- [13] EZAOUI A,TATSUOKA F,MAEDA Y,et al.Yielding of cement-mixed gravelly soil affected by viscous property,ageing and damage[J].Soils and Foundations,2016,56(1):73-92.
- [14] ZIENKIEWICZZ O C,LEUNG K H,PASTORR M.Simple model for transient soil loading in earthquake analysis.I:basic model and its application[J].International Journal for Numerical and Analytical Methods in Geomechanics,1985,9(5):453-476.
- [15] PASTOR M,ZIENKIEWICZ O C,LEUNG K H.Simple model for transient soil loading in earthquake analysis.II:non-associative models for sands[J].International Journal for Numerical and Analytical Methods in Geomechanics,1985,9(5):477-498.
- [16] PASTOR M,ZIENKIEWICZ O C,CHEN A H.Generalized plasticity and the modeling of soil behavior[J].International Journal for Numerical and Analytical Methods in Geomechanics,1990,14(3):151-190.
- [17] 沈珠江.第五届全国土力学及基础工程学术讨论会论文集[C].北京:建筑工业出版社,1989.SHEN Zhujiang.Proceedings of the fifth national conference on soil mechanics and foundation engineering[C].Beijing:Building Industry Press,1989.
- [18] ROSCOEE K H,SCHOFIELE A N.Yielding of clays in states wetter than critical [J].Geotechnique,1963,13(3):211-240.
- [19] ROSCOE K H,BURLAND J B.Proceedings of engineering plasticity [C].Cambridge:World Scientific,1968.
- [20] LADE P V,DUNCAN J M.Elastoplastic stress-strain theory for cohesionless soil[J].Journal of the Geotechnical Engineering Division,1975,101(10):1037-1053.
- [21] 郑颖人,沈珠江,龚晓南.岩土塑性力学原理[M].北京:中国建筑工业出版社,2002.ZHENG Yingren,SHEN Zhujiang,GONG Xiaonan.The principles of geotechnical plastic mechanics[M].Beijing:China Architecture & Building Press,2002.
- [22] 高红,郑颖人,冯夏庭.材料屈服与破坏的探索[J].岩石力学与工程学报,2006,25(12):2515-2522.GAO Hong,ZHENG Yingren,FENG Xiating.Exploration on yield and failure of materials[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(12):2515-2522.
- [23] 蔡新,武颖利.胶凝堆石料本构特性研究[J].岩土工程学报,2010,32(9):1340-1344.CAI Xin,WU Yingli.Constitutive equation for CSG materials[J].Chinese Journal of Geotechnical Engineering,2010,32(9):1340-1344.
- [24] YANG Jie,CAI Xin,PANG Qiong,et al.Experimental study on the shear strength of cement sand gravel material[J].Advances in Materials Science and Engineering,2018,Article ID 2531642.
- [25] YANG Jie,CAI Xin,GUO Xinwen,et al.Effect of cement content on the deformation properties of cemented sand and gravel material[J].Applied Sciences-Basel,2019,6(23):1-16.