砂土流变行为的热力学本构模型研究

宋世雄; 张建民

doi:10.11779/CJGE2015S1026

砂土流变行为的热力学本构模型研究 English Version

宋世雄^{1, 2},
张建民^{1, 2}

1. 清华大学岩土工程研究所,北京 100084; 2. 清华大学水沙科学与水利水电工程国家重点实验室,北京 100084

基金项目: 国家自然科学基金青年科学基金项目（51408333）; 国家自; 然科学基金重点项目（51038007）

详细信息

作者简介:
宋世雄(1984- ),男,博士,主要从事砂土热力学本构模型研究。

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出版历程
- 收稿日期: 2015-03-25
- 发布日期: 2015-07-24

Thermodynamic constitutive model for rheological behavior of sand

SONG Shi-xiong^{1, 2},
ZHANG Jian-min^{1, 2}

1. Institute of Geotechnical Engineering, Tsinghua University, Beijing 100084, China; 2. State Key Laboratory for Hydroscience and Engineering, Tsinghua University, Beijing 100084, China

摘要

摘要: 采用非平衡态热力学方法,通过引入颗粒熵s_g和颗粒温度T_g描述砂土颗粒间碰撞、滑动、滚动等相互作用,用颗粒温度引起的弹性弛豫反映砂土内部的不可逆变形,构建了描述砂土宏观力学行为的热力学方程组。通过合理简化该热力学方程组分析了侧限压缩试验和各向同性压缩试验的流变规律,分析表明：简化的热力学模型能够较好地反映和预测砂土蠕变和松弛行为;砂土在外力加载过程中,颗粒熵（颗粒温度）被激发不断增大直至稳定值,在停止加载后的流变过程中,颗粒熵（颗粒温度）逐渐衰减,理论上最终衰减为零（排除外界扰动）;颗粒熵衰减过程中,颗粒温度引发的弹性弛豫宏观表现为流变行为,随着颗粒熵衰减为零,理论上流变最终停止在一个稳定值。
- 热力学 /
- 颗粒温度 /
- 流变 /
- 本构模型 /
- 砂土
Abstract: Based on the non-equilibrium thermodynamics, a granular entropy s_g and a granular temperature T_g are introduced to describe the collisions, sliding, rolling of sand particles. The elastic relaxation caused by granular temperature variation is used to reflect the irreversible deformation of sand. The thermodynamic governing equations are derived to predict the macroscopic mechanical behavior of sand. Confined compression and isotropic compression tests are investigated using the proposed method. The results indicate that the proposed model can well describe sand relaxation and creep behavior. The granular entropy is excited and increases until a steady value in loading process, and the granular entropy gradually decays until to zero in the rheological process after loading. The elastic relaxation caused by granular temperature leads to the rheological behavior, and the rheology eventually stops at a steady value when the granular entropy decays to zero.
- thermodynamics /
- granular temperature /
- rheology /
- constitutive model /
- sand

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参考文献(16)

[1]	LADE P V, LIU C. Experimental study of drained creep behavior of sand[J]. Journal of Engineering Mechanics, 1998, 124(8): 912-920.
[2]	LADE P V. Experimental study and analysis of creep and stress relaxation in granular materials[C]// Advances in Measurement and Modeling of Soil Behavior. ASCE, 2007: 1-11.
[3]	MURAYAMA S, MICHIHIRO K, SAKAGAMI T. Creep characteristics of sand[J]. Soils and Foundations, 1984, 24(5).
[4]	张云, 薛禹群, 施小清, 等. 饱和砂性土非线性蠕变模型试验研究[J]. 岩土力学, 2005, 26(12): 1869-1873. (ZHANG Yun, XUE Yu-Qun, SHI Xiao-Qing, et al. Study on nonlinear creep model for saturated sand[J]. Rock and Soil Mechanics, 2005, 26(12): 1869-1873. (in Chinese))
[5]	杨奇, 冷伍明, 聂如松, 等. 砂土蠕变特性试验研究[J]. 岩石力学与工程学报, 2014, 33(2): 4282-4286. (YANG Qi, LENg Wu-ming, NIE Ru-song, et al. Laboratory test study of creep behavior of sandy[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(2): 4282-4286. (in Chinese))
[6]	王者超, 乔丽苹. 土蠕变性质及其模型研究综述与讨论[J]. 岩土力学, 2011, 32(8): 2251-2260. (WANG Zhe-chao, QIAO Li-ping. A review and discussion on creep behavior of soil and its models[J]. Rock and soil Mechanics, 2011, 32(8): 2251-2260. (in Chinese))
[7]	SONG S, SUN Q, JIN F, ZHANG C. Analysis of parameters in granular solid hydrodynamics for triaxial compression tests[J]. Acta Mechanica Solida Sinica, 2014, 27(1): 15-27.
[8]	宋世雄, 孙其诚, 费明龙, 等. 颗粒材料热力学理论在简单剪切流中的应用[J]. 中国科学: 物理学, 力学, 天文学, 2013, 43(7): 881-889. (SONG Shi-xiong, SUN Qi-cheng, FEI Ming-long, et al. Thermodynamic analysis of simple shear granular flows[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2013, 43(7): 881-889. (in Chinese))
[9]	SUN Q, SONG S, JIN F, et al. Elastic energy and relaxation in triaxial compressions[J]. Granular Matter, 2011, 13(6): 743-750.
[10]	孙其诚, 宋世雄, 蒋亦民, 等. 基于颗粒物质流体动力学的三轴力学分析[J]. 力学学报, 2012, 44(2): 447-450. (SUN Qi-cheng, SONG Shi-Xiong, JIANG Yi-Min et al. Granular solid hydrodynamics and analyses on triaxial compressions[J]. Chinese Journal of Theoretical and Applied Mechanics, 2012, 44(2): 447-450. (in Chinese))
[11]	宋世雄. 基于非平衡态热力学的砂土本构关系研究[D]. 北京: 清华大学, 2013. (SONG Shi-xiong. Study on the constitutive relationship of sands based on non-equilibrium thermodynamics[D]. Beijing: Tsinghua University, 2013. (in Chinese))
[12]	JIANG Y, LIU M. Granular solid hydrodynamics[J]. Granular Matter, 2009, 11(3): 139-156.
[13]	蒋亦民, 刘佑. 砂土的流体动力学方程与本构模型的比较[J]. 岩土力学, 2010(6): 1729-1738. (JIANG Yi-Min, LIU Mario. Hydrodynamic method versus constitutive modeling in geotechnical materials[J]. Rock and Soil Mechanics, 2010, 31(6): 1731-1738. (in Chinese))
[14]	JIANG Y, LIU M. Granular solid hydrodynamics (GSH): a broad-ranged macroscopic theory of granular media[J]. Acta Mechanica, 2014, 225(8): 2363-2384.
[15]	HOULSBY G T. The work input to a granular material[J]. Géotechnique, 1979, 29(3): 354-358.
[16]	MIKSIC A, ALAVA M J. Evolution of grain contacts in a granular sample under creep and stress relaxation[J]. Physical Review E, 2013, 88(3): 032207.