接触行为对颗粒材料中应力波波速与能量的影响

doi:10.12068/j.issn.1005-3026.2021.08.011

东北大学学报（自然科学版） ›› 2021, Vol. 42 ›› Issue (8): 1136-1142.DOI: 10.12068/j.issn.1005-3026.2021.08.011

接触行为对颗粒材料中应力波波速与能量的影响

潘宇¹，王蕉^1,2，楚锡华¹

(1. 武汉大学土木建筑工程学院，湖北武汉430072; 2. 西南交通大学力学与工程学院，四川成都610031)

修回日期:2021-01-04 接受日期:2021-01-04 发布日期:2021-09-02
通讯作者: 潘宇
作者简介:潘宇(1998-)，男，安徽阜阳人，武汉大学硕士研究生; 楚锡华(1977-)，男，河南濮阳人，武汉大学教授，博士生导师.
基金资助:
国家自然科学基金资助项目(11772237，11472196).

Influence of Contact Behavior on Stress Wave Velocity and Energy in Granular Materials

PAN Yu¹， WANG Jiao^1,2， CHU Xi-hua¹

1. School of Civil Engineering， Wuhan University， Wuhan 430072， China; 2. School of Mechanics and Engineering， Southwest Jiaotong University， Chengdu 610031， China.

Revised:2021-01-04 Accepted:2021-01-04 Published:2021-09-02
Contact: CHU Xi-hua
About author:-
Supported by:
-

摘要/Abstract

摘要： 采用离散单元法，研究线弹性接触模型、Hertz接触模型、线性平行粘结模型对不同排列颗粒材料中波传播的影响，分析了三种接触模型下波的波速变化和能量变化，同时也研究了弹性模量对颗粒材料中波传播的影响.最后对颗粒材料样本采用Hertz接触模型，探究了不同围压条件下颗粒材料中波的波速变化和能量衰减.研究结果表明:不同接触模型下波传播的波速和能量衰减率不同;当颗粒样本从规则排列到随机排列，波传播的波速变小，能量衰减率变大;随着颗粒弹性模量的增大，波速呈对数增大;在波传播过程中能量快速耗散，随着围压的增大，波速和能量衰减率都增大.

关键词: 颗粒材料;离散元;波传播;接触模型;围压

Abstract: The discrete element method is used to study the energy attenuation and wave velocity change of granular system in the process of wave propagation with linear-elastic contact model， Hertz contact model and linear parallel bond contact model. Meanwhile， the influences of elastic modulus on wave propagation in granular materials are also studied. Finally， the Hertz contact model is used to study the wave velocity and the energy attenuation of granular materials under different confining pressures. The results show that the wave velocity and energy attenuation rate of wave propagation are different with different contact models; when the sample is arranged from regular to random， the wave velocity is smaller and the energy attenuation rate is larger; with the increase of elastic modulus of particles， the wave velocity increases logarithmically; in the process of wave propagation， the energy dissipates rapidly， and with the increase of confining pressure， the wave velocity and energy attenuation rate both increase.

Key words: granular material; discrete element; wave propagation; contact model; confining pressure

中图分类号:

潘宇，王蕉，楚锡华. 接触行为对颗粒材料中应力波波速与能量的影响[J]. 东北大学学报（自然科学版）, 2021, 42(8): 1136-1142.

PAN Yu， WANG Jiao， CHU Xi-hua. Influence of Contact Behavior on Stress Wave Velocity and Energy in Granular Materials[J]. Journal of Northeastern University(Natural Science), 2021, 42(8): 1136-1142.

参考文献

[1]楚锡华.颗粒材料的离散颗粒模型与离散-连续耦合模型及数值方法［D］.大连:大连理工大学，2006.(Chu Xi-hua.Discrete particle model and discrete continuous coupling model and numerical method for granular materials［D］.Dalian:Dalian University of Technology，2006.)
[2]修晨曦，楚锡华.颗粒材料修正的微形态连续体模型研究［J］.重庆大学学报，2020，43(6):1-11.(Xiu Chen-xi，Chu Xi-hua.A modified micromorphology model based on micromechanics for granular materials［J］.Journal of Chongqing University，2020，43(6):1-11.)
[3]Cundall P A，Strack O D L.A discrete numerical model for granular assemblies［J］.Géotechnique，1979，29(1):47-65.
[4]Wang J，Chu X H.Compressive wave propagation in highly ordered granular media based on DEM［J］.International Journal of Nonlinear Sciences and Numerical Simulation，2018，19(5):545-552.
[5]Wang J，Chu X H，Xiu C X，et al.Stress wave in monosized bead string with various water contents［J］.Advanced Powder Technology，2020，31(3):993-1000.
[6]Sadd M H，Gao J，Shukla A.Numerical analysis of wave propagation through assemblies of elliptical particles［J］.Computers and Geotechnics，1997，20(3):323-343.
[7]Wang J，Chu X H.Impact energy distribution and wavefront shape in granular material assemblies［J/OL］.Granular Matter，2019，21:23［2020-12-15］. https://link.springer.com/article/10.1007/s10035-019-0880-z.
[8]修晨曦，楚锡华.基于微形态模型的颗粒材料中波的频散现象研究［J］.力学学报，2018，50(2):315-328.(Xiu Chen-xi，Chu Xi-hua.Study on dispersion behavior and band gap in granular materials based on a micromorphic model［J］.Chinese Journal of Theoretical and Applied Mechanics，2018，50(2):315-328.)
[9]Xiu C X，Chu X H，Wang J.Prediction on dispersion in elastoplastic unsaturated granular media［J］.Theoretical & Applied Mechanics Letters，2020，10(2):74-78.
[10]Sadd M H，Tai Q M，Shukla A.Contact law effects on wave propagation in particulate materials using distinct element modeling［J］.International Journal of Non-Linear Mechanics，1993，28(2):251-265.
[11]黄德财，陈伟中，杨安娜，等.孤立波在一维复合颗粒链中传播特性的模拟研究［J］.物理学报，2014，63(15):266-271.(Huang De-cai，Chen Wei-zhong，Yang An-na，et al.Simulation study on the propagation of solitary waves in a one-dimensional composite granular chain［J］.Acta Physica Sinica，2014，63 (15):266-271.)
[12]Bi Z W，Huang W F，Sun Q C，et al.Experimental analysis of cyclic loading on a cohesionless granular system［J］.Granular Matter，2016，18(1):1-9.
[13]Daraio C，Nesterenko V F，Herbold E B，et al.Tunability of solitary wave properties in one-dimensional strongly nonlinear phononic crystals［J/OL］.Physical Review E:Statistical，Nonlinear，and Soft Matter Physics，2006，73(2)［2020-12-15］.https://journals.aps.org/pre/abstract/10.1103/PhysRevE.73.026610.
[14]Wang J，Chu X H，Jiang Q H，et al.Energy transfer and influence of excitation frequency in granular materials from the perspective of Fourier transform［J］.Powder Technology，2019，356:493-499.
[15]季顺迎，樊利芳，梁绍敏.基于离散元方法的颗粒材料缓冲性能及影响因素分析［J］.物理学报，2016，65(10):168-180.(Ji Shun-ying，Fan Li-fang，Liang Shao-min.Buffer capacity of granular materials and its influencing factors based on discrete element method［J］.Acta Physica Sinica，2016，65(10):168-180.)
[16]Wang J，Chu X H，Zhang J B，et al.The effects of microstructure on wave velocity and wavefront in granular assemblies with binary-sized particles［J］.International Journal of Solids and Structures，2018，159(2):156-162.
[17]Mindlin R D，Deresiewicz H.Elastic spheres in contact under varying oblique forces［J］.Journal of Applied Mechanics，1953，20(3):327-344.
[18]Vu-Quoc L，Zhang X.An accurate and efficient tangential force-displacement model for elastic frictional contact in particle-flow simulations［J］.Mechanics of Materials，1999，31(4):761-762.(上接第1070页)
[4]Nasir J，Islam F，Malik U，et al.RRT^*-smart:a rapid convergence implementation of RRT^*［J/OL］.International Journal of Advanced Robotic Systems，2013［2020-10-18］.https://www.researchgate.net/deref/http%3A%2F%2Fdx.doi.org%2F10.5772%2F56718.
[5]Wang W，Zuo L，Xu X.A learning-based multi-RRT approach for robot path planning in narrow passages ［J］.Journal of Intelligent & Robotic Systems，2018，90(1/2):81-100.
[6]宋晓琳，周南，黄正瑜，等.改进RRT在汽车避障局部路径规划中的应用［J］.湖南大学学报(自然科学版)，2017，44(4):30-37.(Song Xiao-lin，Zhou Nan，Huang Zheng-yu，et al.Application of improved RRT in local path planning of vehicle obstacle avoidance［J］.Journal of Hunan University(Natural Science Edition)，2017，44(4):30-37.)
[7]王坤，曾国辉，鲁敦科，等.基于改进渐进最优的双向快速扩展随机树的移动机器人路径规划算法［J］.计算机应用，2019，39(5):1312-1317.(Wang Kun，Zeng Guo-hui，Lu Dun-ke，et al.Path planning algorithm for mobile robot based on improved asymptotically optimal bi-directional rapidly expanding random tree ［J］.Computer Applications，2019，39(5):1312-1317.)
[8]Noreen I，Khan A，Habib Z.A comparison of RRT，RRT^* and RRT^*-smart path planning algorithms ［J］.International Journal of Computer Science and Network Security，2016，16(10):20-27.
[9]Tahir Z，Qureshi A H，Ayaz Y，et al.Potentially guided bidirectionalized RRT^* for fast optimal path planning in cluttered environments ［J］.Robotics and Autonomous Systems，2018，108:13-27.
[10]Qureshi A H，Ayaz Y.Intelligent bidirectional rapidly-exploring random trees for optimal motion planning in complex cluttered environments ［J］.Robotics and Autonomous Systems，2015，68(1):1-11.
[11]Yang K，Sukkarieh S.An analytical continuous-curvature path-smoothing algorithm ［J］.IEEE Transactions on Robotics，2010，26(3):561-568.
[12]Song X G，Fan X，Cao Z Q，et al.A TC-RRT-based path planning algorithm for the nonholonomic mobile robots［C/OL］//2017 36th Chinese Control Conference.Dalian:2017［2020-10-20］.https://doi.org/10.23919/ChiCC.2017.8028409.
[13]张伟民，付仕雄.基于改进RRT^*算法的移动机器人路径规划［J］.华中科技大学学报(自然科学版)，2021，49(1):31-36.(Zhang Wei-min，Fu Shi-xiong.Mobile robot path planning based on improved RRT^* algorithm［J］.Journal of Huazhong University of Science and Technology(Natural Science Edition)，2021，49(1):31-36.)
[14]胡春旭.ROS机器人开发实践［M］.北京:机械工业出版社，2018:114-155.(Hu Chun-xu.ROS robot development practice ［M］.Beijing:China Machine Press，2018:114-155.)

接触行为对颗粒材料中应力波波速与能量的影响

Influence of Contact Behavior on Stress Wave Velocity and Energy in Granular Materials

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