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考虑颗粒破碎的冻结砂土非线性本构模型研究

罗飞 何俊霖 朱占元 吕思清 漆宇轩

罗飞, 何俊霖, 朱占元, 等, 2018. 考虑颗粒破碎的冻结砂土非线性本构模型研究. 地质力学学报, 24 (6): 871-878. DOI: 10.12090/j.issn.1006-6616.2018.24.06.091
引用本文: 罗飞, 何俊霖, 朱占元, 等, 2018. 考虑颗粒破碎的冻结砂土非线性本构模型研究. 地质力学学报, 24 (6): 871-878. DOI: 10.12090/j.issn.1006-6616.2018.24.06.091
LUO Fei, HE Junlin, ZHU Zhanyuan, et al., 2018. A STUDY ON NONLINEAR CONSTITUTIVE MODEL OF FROZEN SAND CONSIDERING PARTICLE BREAKAGE. Journal of Geomechanics, 24 (6): 871-878. DOI: 10.12090/j.issn.1006-6616.2018.24.06.091
Citation: LUO Fei, HE Junlin, ZHU Zhanyuan, et al., 2018. A STUDY ON NONLINEAR CONSTITUTIVE MODEL OF FROZEN SAND CONSIDERING PARTICLE BREAKAGE. Journal of Geomechanics, 24 (6): 871-878. DOI: 10.12090/j.issn.1006-6616.2018.24.06.091

考虑颗粒破碎的冻结砂土非线性本构模型研究

doi: 10.12090/j.issn.1006-6616.2018.24.06.091
基金项目: 

国家自然科学基金资助项目 41672304

国家自然科学基金资助项目 41701063

四川省教育厅科研创新团队项目 16TD0006

2018年本科生创新训练计划项目 04070308

详细信息
    作者简介:

    罗飞(1985-), 男, 在读博士, 讲师, 主要从事岩土材料本构关系与数值模拟、土动力学与岩土地震工程方面的研究工作。E-mail:1447151511@qq.com

    通讯作者:

    朱占元(1974-), 男, 博士, 教授, 主要从事冻土动力学与冻土工程、边坡工程、岩土工程数值仿真等方面的研究与教学工作。E-mail:zhuzyuan910@163.com

  • 中图分类号: TU445

A STUDY ON NONLINEAR CONSTITUTIVE MODEL OF FROZEN SAND CONSIDERING PARTICLE BREAKAGE

  • 摘要: 颗粒破碎是粒状材料在高应力状态下的一种基本现象。为了研究冻结砂土中颗粒破碎对应力应变关系的影响,将冻结砂土视为复合颗粒材料,忽略冰的压融,考虑内摩擦角随应力状态的变化,构建一个适用于冻结砂土的考虑颗粒破碎的非线性本构模型。构建过程分为三步,首先是基于三轴剪切前后颗粒分析对冻结砂土颗粒破碎模式和产生机理进行探讨;其次是基于考虑颗粒破碎的能量平衡方程,对冻土在三轴剪切试验过程中的颗粒破碎耗能进行分析,结果表明颗粒破碎耗能随轴向应变呈双曲线变化趋势;最后应用考虑颗粒破碎的剪胀方程修正沈珠江三参数非线性模型中的体积切线模量νt,得到一个考虑颗粒破碎的非线性本构模型,模型参数可以通过单轴压缩试验和常规三轴试验确定。将原模型和修正后模型的计算结果与控制温度为-6℃,围压为1 MPa、4 MPa、6 MPa、8 MPa和10 MPa时冻结砂土的试验结果进行对比,结果表明该模型能够较好的模拟冻结砂土从低围压到高围压的应变软化特征与剪胀特征。

     

  • 图  1  三轴剪切前后冻结砂土颗粒级配曲线图

    Figure  1.  Particle-size distribution curves before and after triaxial shear tests

    图  2  颗粒破碎类型示意图

    Figure  2.  Schematic diagram of the types of particle breakage

    图  3  点面接触型颗粒破碎物理模型

    Figure  3.  Physical model of particle breakage with point and surface contact

    图  4  颗粒破碎耗能EB与总输入能ET比值曲线

    Figure  4.  The ratio curves between particle crushing energy of EB and total input energy of ET

    图  5  颗粒破碎耗能增量曲线

    Figure  5.  Energy consumption increment curves of particle breakage

    图  6  颗粒破碎耗能与轴向应变关系曲线

    Figure  6.  Relationship between energy consumption of particle breakage and axial strain

    图  7  偏差应力—轴向应变拟合曲线

    Figure  7.  Fitting curves of deviation stress and axial strain

    图  8  体积应变—轴向应变拟合曲线

    Figure  8.  Fitting curves of volume strain and axial strain

    表  1  与单轴压缩模量Mt与切线模量Et相关参数表

    Table  1.   Parameters related to the uniaxial compression modulus Mt and tangent modulus Et

    σ3/MPa k km h i j
    1.0 0.1700 0.1358 0.0017
    4.0 0.1400 0.1219 0.0017
    6.0 0.47 0.71 0.1200 0.1185 0.0017
    8.0 0.1000 0.1121 0.0018
    10.0 0.0980 0.0966 0.0025
    下载: 导出CSV

    表  2  与切线泊松比νt相关参数表

    Table  2.   Parameters related to the tangent poisson ratio νt

    σ3/MPa a e f 其他参数
    1.0 1.9006 0.0006 0.0227
    4.0 1.0356 0.0005 0.0193 b=1.0200
    6.0 0.7825 0.0004 0.0164 s=0.0009
    8.0 0.603 0.0003 0.0144 t=0.0012
    10.0 0.4638 0.0002 0.0125
    下载: 导出CSV
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  • 收稿日期:  2018-07-08
  • 修回日期:  2018-10-10
  • 刊出日期:  2018-12-01

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