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考虑宽度与厚度的颗粒胶结模型理论分析

王华宁, 龚浩, 李富根, 蒋明镜

王华宁, 龚浩, 李富根, 蒋明镜. 考虑宽度与厚度的颗粒胶结模型理论分析[J]. 岩土工程学报, 2017, 39(5): 822-831. DOI: 10.11779/CJGE201705006
引用本文: 王华宁, 龚浩, 李富根, 蒋明镜. 考虑宽度与厚度的颗粒胶结模型理论分析[J]. 岩土工程学报, 2017, 39(5): 822-831. DOI: 10.11779/CJGE201705006
WANG Hua-ning, GONG Hao, LI Fu-gen, JIANG Ming-jing. Analytical solutions to micro-bond model for particles considering width and thickness of bond[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(5): 822-831. DOI: 10.11779/CJGE201705006
Citation: WANG Hua-ning, GONG Hao, LI Fu-gen, JIANG Ming-jing. Analytical solutions to micro-bond model for particles considering width and thickness of bond[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(5): 822-831. DOI: 10.11779/CJGE201705006

考虑宽度与厚度的颗粒胶结模型理论分析  English Version

基金项目: 国家自然科学基金项目(11572228,51639008); 中央高校基本科研业务费专项资金—学科交叉类; 国家重点基础研究发展计划(“973”计划)项目(2014CB046901); 同济大学土木工程防灾国家重点实验室自主课题(SLDRCE14-B-11)
详细信息
    作者简介:

    王华宁(1975- ),教授,博士生导师,主要从事岩土工程中解析与数值方法的研究。E-mail: wanghn@tongji.edu.cn。

  • 中图分类号: TU441

Analytical solutions to micro-bond model for particles considering width and thickness of bond

  • 摘要: 在深海能源土、岩石风化等问题离散元模拟中,颗粒间胶结物的增减将对材料宏观力学特性有显著影响,因此需要建立考虑胶结厚度和宽度的胶结模型。针对离散元理论中粒间真实形状胶结物在粒间力作用下的刚度和强度确定问题,基于原始的Dvorkin理论,给出高精度的胶结力学响应理论解。求解中将位移函数对称化,提出一种修正位移试函数的方法,提高了二维颗粒微观胶结模型应力场的对称性和精度,经验证解答在定性和定量上符合有限元模拟结果。根据所得解答对胶结物几何参数进行了分析,讨论了胶结宽度和厚度对胶结刚度的影响,并给出了针对一般常见材料的刚度拟合公式。采用双剪统一强度理论分析了脆性和塑性胶结材料的初始破坏区位置,给出拉/压剪复合受力状态的强度包线。本文解答可方便快捷地获得胶结模型的大量力学响应信息,可作为试验数据的验证和补充,协助建立胶结物在复杂荷载作用下的破坏判据,进而建立完整的离散元胶结模型。
    Abstract: In the DEM simulation of mechanical response of methane hydrate or weathered rock, the real shape and size of inter-particle bond significantly affect the macro-mechanical properties of the materials, therefore it is necessary to build a micro-bond model considering the width and thickness of the bond. The modified high-accuracy analytical solution is proposed according to the Dvorkin theory to determine the stiffness and strength of inter-granular bond in DEM. By introducing the symmetric displacement function, the symmetry and accuracy of the stress field are improved compared with the solution by the Dvorkin theory. The provided solutions are consistent with the FEM analysis results on a qualitative and quantitative level. For an application, the parametric investigation is carried out according to the analytical solutions. The influences of width and thickness on the stiffness of the bond are discussed firstly, and then the fitting formulas for three bond stiffnesses for the common materials are provided. Subsequently, the twin shear unified strength theory is applied to give the initial failure domain for the contact model for brittle and plastic bond materials, respectively, and the tensile/compressive-shear strength envelope is also put forward. The proposed solutions can provide a large number of data for mechanical response of the bond, and assist to set up the failure criterion under complex loading, which can validate and supply the experimental data in establishing the micro-bond model in DEM.
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出版历程
  • 收稿日期:  2016-01-29
  • 发布日期:  2017-05-24

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