非饱和结构性黄土本构模型的研究
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摘要
本文在饱和土扰动概念基础上,提出了可以考虑外力和增湿两个扰动因素对非饱和土结构性影响的耦合扰动变量。根据复合材料均匀化理论的思想建立了适用于非饱和结构性黄土的本构模型,并给出了耦合扰动变量的演化方程。通过将BBM模型和本文模型的计算结果分别与已有的实验结果进行对比说明,本文模型能够更好地反映非饱和原状黄土的力学特性。通过对结构性参数β、α进行分析说明,所给出的耦合扰动变量的演化方程能够较好地描述土结构性随变形劣化的规律。
On the basis of disturbed state concept for saturated soils,a new expression form of coupled disturbing variable for unsaturated soils is defined in this paper,in which both of disturbance factors that external force and wetting are considered.Moreover,a new constitutive model of unsaturated intact soils is build up in accordance with homogenization theory for composites materials,and the evolution equation of the coupled disturbing variable is proposed.Comparing the calculation results of BBM and this model with the experimental results respectively,it can be seen clearly that this model can better simulate the mechanical properties of unsaturated intact loess.In addition,according to the analysis results of the influence of structural parameters on shear behavior,the degradation law of soil structure can be well described by the proposed evolution equation of coupled disturbing variable.
On the basis of disturbed state concept for saturated soils,a new expression form of coupled disturbing variable for unsaturated soils is defined in this paper,in which both of disturbance factors that external force and wetting are considered.Moreover,a new constitutive model of unsaturated intact soils is build up in accordance with homogenization theory for composites materials,and the evolution equation of the coupled disturbing variable is proposed.Comparing the calculation results of BBM and this model with the experimental results respectively,it can be seen clearly that this model can better simulate the mechanical properties of unsaturated intact loess.In addition,according to the analysis results of the influence of structural parameters on shear behavior,the degradation law of soil structure can be well described by the proposed evolution equation of coupled disturbing variable.
引文
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[8]沈珠江,胡再强.黄土的二元介质模型[J].水利学报.2003,(7):1～6.Shen Zhujiang,Hu Zaiqiang.Binary medium model for loess[J].Journal of Hydraulic Engineering,2003,(7):1～6.
[9]胡再强,沈珠江,谢定义.结构性黄土的本构模型[J].岩石力学与工程学报.2005,24(4):565～569.Hu Zaiqiang,Shen Zhujiang,Xie Dingyi.Constitutive model ofstructural loess[J].Chinese Journal of Rock Mechanics and Engi-neering.2005,24(4):565～569.
[10]陈存礼,何军芳,杨鹏.考虑结构性影响的原状黄土本构关系[J].岩土力学.2007,28(11):2284～2290.Chen Cunli,He Junfang,Yang Peng.Constitutive relationship of intact loess considering structural effect[J].Rock and Soil Me-chanics.2007,28(11):2284～2290.
[11]杨超,崔玉军,黄茂松等.循环荷载下非饱和结构性黄土的损伤模型[J].岩石力学与工程学报.2008,27(4):805～810.Yang Chao,Cui Yujun,Huang Maosong et al.Damage model for unsaturated structural loess under cyclic loading[J].Chinese Journal of Rock Mechanics and Engineering.2008,27(4):805～810.
[12]Desai C S.A consistent finite element technique for work-softing behavior[J].Proceedings of the International Conference on Computation Methods in Nonlinear Mechanics.Austin,1974.
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[14]Alonso E E,Gens A,Josa A.A constitutive model for partially saturated soils[J].Geotechnique,1990,40(3):405～430.
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[16]金旭,赵成刚,刘艳,蔡国庆.非饱和原状土的弹塑性损伤本构模型[J].北京交通大学学报,2010,4(1):78～82.Jin Xu,Zhao Chenggang,Liu Yan,Cai Guoqing.An elasto-plastic damage constitutive model of unsaturated natural soils[J].Jour-nal of Beijing Jiaotong University,2010,4(1):78～82.
[17]沈珠江.结构性粘土的弹塑性损伤模型[J].岩土工程学报.1993,15(3):21～28.Shen Zhujiang.An elasto-plastic damage model for cemented clays[J].Chinese Journal of Geotechnical Engineering,1993,15(3):21～28.
[18]沈珠江,陈铁林.岩土破损力学:结构类型与荷载分担[J].岩土力学与工程学报,2004,23(13):2137～2142.Shen Zhujiang,Chen Tielin.Breakage mechanics of geomaterial-structure types and load sharing[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(13):2137～2142.
[19]方祥位.Q2黄土的微细观结构及力学特性研究[D].后勤工程学院.博士学位论文,2008.Fang Xiangwei.A research of the micro-and meso-structure in Q2loess and mechanical properties of Q2loess[D].Logistical Engineering University.Degree Thesis,2008.
[20]卢再华,陈正汉,蒲毅彬.膨胀土干湿循环胀缩裂隙演化的CT试验研究[J].岩土力学.2002,23(4):417～422.Lu Zaihua,Chen Zhenghan,Pu Yisong.A CT study on the crack evolution of expansive soil during drying and wetting cycles[J].Rock and Soil Mechanics.2002,23(4):417～422.
[21]沈珠江,刘恩龙,陈铁林.岩土二元介质模型的一般应力应变关系[J].岩土工程学报,2005,27(5):489～494.Shen Zhujiang,Liu Enlong,Chen Tielin.Generalized stress-strain re-lationship of binary medium model for geological materials[J].Chi-nese Journal of Geotechnical Engineering,2005,27(5):489～494.
[2]齐吉琳,谢定义,石玉成.土结构性的研究方法及现状[J].西北地震学报,2001,23(1):99～103.Qi Jilin,Xie Dingyi,Shi Yucheng.Status quo and method of quan-titative study on soil structure[J].Northwestern Seismological Journal,2001,23(1):99～103.
[3]龚晓南,熊传祥,项可祥,等.粘土结构性对其力学性质的影响及形成原因分析[J].水利学报,2000,10:43～47.Gong Xiaonan,Xiong Chuanxiang,Xiang Kexiang,et al.The for-mation of clay structure and its influence on mechanical character-istics of clay[J].Journal of Hydraulic Engineering,2000,10:43～47.
[4]Leroueil S,Vaughan P R.The general and congruent effects of structure in natural soils and weak rocks[J].Geotechnique,1990,40(3):467～488.
[5]沈珠江.土体结构性的数学模型——21世纪土力学的核心问题[J].岩土工程学报,1996,18(1):95～97.Shen Zhujiang.The mathematical model for the soil structure—the key problem in soil mechanics in the21st Century[J].Chinese Journal of Geotechnical Engineering,1996,18(1):95～97.
[6]谢定义,齐吉琳.土结构性及其定量化参数研究的新途径[J].岩土工程学报,1999,21(6):651～656.Xie Dingyi,Qi Jilin.Soil structure characteristics and new ap-proach in research on its quantitative parameter[J].Chinese Jour-nal of Geotechnical Engineering,1999,21(6):651～656.
[7]刘祖典.黄土力学与工程[M].西安:陕西科学技术出版社,1997.Liu Zudian.Mechanics and Engineering of Loess[M].Xi'an:Shanxi Science and Technology Press,1997.
[8]沈珠江,胡再强.黄土的二元介质模型[J].水利学报.2003,(7):1～6.Shen Zhujiang,Hu Zaiqiang.Binary medium model for loess[J].Journal of Hydraulic Engineering,2003,(7):1～6.
[9]胡再强,沈珠江,谢定义.结构性黄土的本构模型[J].岩石力学与工程学报.2005,24(4):565～569.Hu Zaiqiang,Shen Zhujiang,Xie Dingyi.Constitutive model ofstructural loess[J].Chinese Journal of Rock Mechanics and Engi-neering.2005,24(4):565～569.
[10]陈存礼,何军芳,杨鹏.考虑结构性影响的原状黄土本构关系[J].岩土力学.2007,28(11):2284～2290.Chen Cunli,He Junfang,Yang Peng.Constitutive relationship of intact loess considering structural effect[J].Rock and Soil Me-chanics.2007,28(11):2284～2290.
[11]杨超,崔玉军,黄茂松等.循环荷载下非饱和结构性黄土的损伤模型[J].岩石力学与工程学报.2008,27(4):805～810.Yang Chao,Cui Yujun,Huang Maosong et al.Damage model for unsaturated structural loess under cyclic loading[J].Chinese Journal of Rock Mechanics and Engineering.2008,27(4):805～810.
[12]Desai C S.A consistent finite element technique for work-softing behavior[J].Proceedings of the International Conference on Computation Methods in Nonlinear Mechanics.Austin,1974.
[13]Desai C S,Toth J.Disturbed state constitutive modeling based on stress-strain and nondestructive behavior[J].International Journal of Soilds Structures,1996,33(11):1619～1650.
[14]Alonso E E,Gens A,Josa A.A constitutive model for partially saturated soils[J].Geotechnique,1990,40(3):405～430.
[15]Sun D A,Cui H B,Hajime Matsuoka,et al.A three-dimensional elasto-plastic model for unsaturated compacted soils with hydrau-lic hysteresis[J].Soils and Foundations,2007,47(2):253～264.
[16]金旭,赵成刚,刘艳,蔡国庆.非饱和原状土的弹塑性损伤本构模型[J].北京交通大学学报,2010,4(1):78～82.Jin Xu,Zhao Chenggang,Liu Yan,Cai Guoqing.An elasto-plastic damage constitutive model of unsaturated natural soils[J].Jour-nal of Beijing Jiaotong University,2010,4(1):78～82.
[17]沈珠江.结构性粘土的弹塑性损伤模型[J].岩土工程学报.1993,15(3):21～28.Shen Zhujiang.An elasto-plastic damage model for cemented clays[J].Chinese Journal of Geotechnical Engineering,1993,15(3):21～28.
[18]沈珠江,陈铁林.岩土破损力学:结构类型与荷载分担[J].岩土力学与工程学报,2004,23(13):2137～2142.Shen Zhujiang,Chen Tielin.Breakage mechanics of geomaterial-structure types and load sharing[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(13):2137～2142.
[19]方祥位.Q2黄土的微细观结构及力学特性研究[D].后勤工程学院.博士学位论文,2008.Fang Xiangwei.A research of the micro-and meso-structure in Q2loess and mechanical properties of Q2loess[D].Logistical Engineering University.Degree Thesis,2008.
[20]卢再华,陈正汉,蒲毅彬.膨胀土干湿循环胀缩裂隙演化的CT试验研究[J].岩土力学.2002,23(4):417～422.Lu Zaihua,Chen Zhenghan,Pu Yisong.A CT study on the crack evolution of expansive soil during drying and wetting cycles[J].Rock and Soil Mechanics.2002,23(4):417～422.
[21]沈珠江,刘恩龙,陈铁林.岩土二元介质模型的一般应力应变关系[J].岩土工程学报,2005,27(5):489～494.Shen Zhujiang,Liu Enlong,Chen Tielin.Generalized stress-strain re-lationship of binary medium model for geological materials[J].Chi-nese Journal of Geotechnical Engineering,2005,27(5):489～494.
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