Characteristics of force chains in frictional interface during abrasive flow machining based on discrete element method

doi:10.1007/s40436-018-0236-7

Abstract

Abstract: Abrading is a very important sub-technology of the surface treatment technology with vast applications in the industry. This study aims at analyzing the inherent laws of friction systems during abrading. In particle flow code modeling, the abrading process can be simplified to the movement of particles in a parallel-plate shear friction system. In this study, the PFC2D software is used to construct the particle flow friction system with the set of parallel plates and the model parameters according to the abrading processing equipment and processing materials, control the simulation of a single variable, and compare the output data to estimate the impact of change of parameters on the force chain. The simulation results show that the shear dilatancy can be divided into three stages:plastic strain, macroscopic failure, and granular recombination stages. The distribution and load rates of the weak force chains depend on the load, velocity, friction coefficient between granules, granular diameter, and number of granular layers. The number of granular layers and the load increase cause the direction of the force chain to be oriented with the vertical direction, and the force chains move toward the horizontal direction as the velocity increases. The increase in load does not cause the shear dilatancy stage to occur; the velocity, friction coefficient between granules, and granular diameter increase cause the shear dilatancy to occur gradually.

The full text can be downloaded at https://link.springer.com/article/10.1007/s40436-018-0236-7

Key words: Abrasion, Force, Machining

Tian-Xun Xiu, Wei Wang, Kun Liu, Zhi-Yong Wang, Dao-Zhu Wei. Characteristics of force chains in frictional interface during abrasive flow machining based on discrete element method[J]. Advances in Manufacturing, 2018, 6(4): 355-375.

TrendMD

References

1. Taboada A, Chang KJ, Radjaï F et al (2005) Rheology, force transmission, and shear instabilities in frictional granular media from biaxial numerical tests using the contact dynamics method. J Geophys Res Atmos 110:B09202
2. Zou LN, Cheng X, Rivers ML et al (2009) The packing of granular polymer chains. Science 326(5951):408-410
3. Zhou F, Advani SG, Wetzel ED (2007) Simulation of slowly dragging a cylinder through a confined pressurized bed of granular materials using the discrete element method. Phys Fluids 19(1):505-572
4. Blasio FVD, Saeter MB (2009) Rolling friction on a granular medium. Phys Rev E 79(2):022301
5. Sawyer WG, Ziegert JC, Schmitz TL et al (2006) In situ lubrication with boric acid:powder delivery of an environmentally benign solid lubricant. Tribol Trans 49(2):284-290
6. Heshmat H (1991) The rheology and hydrodynamics of dry powder lubrication. Tribol Trans 34(3):433-439
7. Fillot N, Iordanoff I, Berthier Y (2007) Wear modeling and the third body concept. Wear 262(7-8):949-957
8. Wang W, Liu X, Liu K et al (2010) Experimental study on the tribological properties of pure powder lubrication under plane contact. Tribol Trans 53(2):274-279
9. Wang W, Liu X, Xie T et al (2011) Effects of sliding velocity and normal load on tribological characteristics in powder lubrication. Tribol Lett 43(2):213-219
10. Tian Y, Zhang M, Jiang J et al (2010) Reversible shear thickening at low shear rates of electrorheological fluids under electric fields. Phys Rev E 83(1):011401
11. Bouchaud JP, Cates ME, Claudin P (1995) Stress distribution in granular media and nonlinear wave equation. J Phys I 5(6):639-656
12. Hill JM, Selvadurai APS (2005) Mathematics and mechanics of granular materials. J Eng Math 52(1):1-9
13. Walker DM, Tordesillas A, Kuhn MR (2016) Spatial connectivity of force chains in a simple shear 3D simulation exhibiting shear bands. J Eng Mech 143:C4016009
14. Gendelman O, Pollack YG, Procaccia I et al (2016) What determines the static force chains in stressed granular media? Phys Rev Lett 116(7):078001
15. Bassett DS, Owens ET, Porter MA et al (2015) Extraction of force-chain network architecture in granular materials using community detection. Soft Matter 11(14):2731-2744
16. Zhang L, Nguyen NGH, Lambert S, et al (2016) The role of force chains in granular materials:from statics to dynamics. Eur J Environ Civil Eng 1-22
17. Mort P, Michaels JN, Behringer RP et al (2015) Dense granular flow-a collaborative study. Powder Technol 284:571-584
18. Guo Y, Curtis JS (2015) Discrete element method simulations for complex granular flows. Annu Rev Fluid Mech 47:21-46
19. Azéma E, Radjai F (2014) Internal structure of inertial granular flows. Phys Rev Lett 112(7):078001
20. Booth AM, Hurley R, Lamb MP et al (2014) Force chains as the link between particle and bulk friction angles in granular material. Geophys Res Lett 41(24):8862-8869
21. Marteau E, Andrade J (2017) Measuring force-chains in opaque granular matter under shear. In:International workshop on bifurcation and degradation in geomaterials, Springer, Berlin, pp 441-444
22. Nicot F, Xiong H, Wautier A et al (2017) Force chain collapse as grain column buckling in granular materials. Granular Matter 19(2):1-12
23. Wang M, Wang J-A, Pang W et al (2017) Photoelastic experiments on force chain evolution in granular materials under bilateral flowing conditions. In:Proceedings of the 7th international conference on discrete element methods 2017, Springer, Berlin, pp 1411-1417
24. Han X, Wang JA, Pang W et al (2017) Macro and micro structural characteristics of force chains in overlaying strata above top caving mining face. In:Proceedings of the 7th international conference on discrete element methods, 2017, Springer, Berlin, pp 1085-1091
25. Tordesillas A, Steer CAH, Walker DM (2014) Force chain and contact cycle evolution in a dense granular material under shallow penetration. Nonlinear Process Geophys 21(2):505-519
26. Tordesillas A (2007) Force chain buckling, unjamming transitions and shear banding in dense granular assemblies. Philos Mag 87(32):4987-5016
27. Meng F, Liu K, Wang W (2015) The force chains and dynamic states of granular flow lubrication. Tribol Trans 58(1):70-78
28. Sun QC, Wang GQ (2008) Force distribution in static granular matter in two dimensions. Acta Phys Sin 57(8):4667-4674
29. Wang ZY, Wang W, Liu K (2013) Pattern and load carrying behavior of force chains involving the typical shearing dilatancy process in frictional third-body interface. Eng Mech 30(8):258-265
30. Wang W, Liu X, Liu K (2012) Experimental research on force transmission of dense granular assembly under shearing in taylorcouette geometry. Tribol Lett 48(2):229-236
31. Bai L, Zheng Q, Yu A (2017) FEM simulation of particle flow and convective mixing in a cylindrical bladed mixer. Powder Technol 313:175-183
32. Meng FJ, Liu K (2014) Velocity fluctuation and self diffusion character in a dense granular sheared flow studied by discrete element method. Acta Phys Sin 63(13):134502
33. Cai QD, Chen SY, Sheng XW (2011) Numerical simulation of two-dimensional granular shearing flows and the friction force of a moving slab on the granular media. Chin Phys B 20(2):024502
34. Wang W, Gu W, Liu K et al (2014) Dem simulation on the startup dynamic process of a plain journal bearing lubricated by granular media. Tribol Trans 57(2):198-205
35. Chang JJ, Wang W, Zhao M et al (2017) Experimental study and simulation analysis on friction behavior of a mechanical surface sliding on hard particles. Proc Inst Mech Eng Part J 231(10):1371-1379
36. Wang W, Liu Y, Zhu GQ et al (2014) Using FEM-DEM coupling method to study three-body friction behavior. Wear 318(1-2):114-123
37. Wang W, Gu W, Liu K (2015) Force chain evolution and force characteristics of shearing granular media in taylor-couette geometry by DEM. Tribol Trans 58(2):197-206
38. Meng FJ, Liu K, Tang ZQ (2014) Multiscale mechanical research in a dense granular system between sheared parallel plates. Phys Scr 89(10):105702
39. Elkholy KN, Khonsari MM (2007) Granular collision lubricationexperimental investigation and comparison to theory. J Tribol 129(10):923-932
40. Zhang BP (2011) The phenomenon of shear dilitancy and its formation mechanism in particle flow lubrication. Dissertation. Hefei University of Technology, Hefei
41. Cundall PA, Strack ODL (1979) Discrete numerical model for granular assemblies. Geotechnique 29(1):47-65
42. Abbas A, Masad E, Papagiannakis T et al (2007) Micromechanical modeling of the viscoelastic behavior of asphalt mixtures using the discrete-element method. Int J Geomech 7(2):131-139

[1]	Qi-Sen Chen, Li Dai, Yu Liu, Qiu-Xiang Shi. A cortical bone milling force model based on orthogonal cutting distribution method [J]. Advances in Manufacturing, 2020, 8(2): 204-215.
[2]	Wei Zhao, Asif Iqbal, Ding Fang, Ning He, Qi Yang. Experimental study on the meso-scale milling of tungsten carbide WC-17.5Co with PCD end mills [J]. Advances in Manufacturing, 2020, 8(2): 230-241.
[3]	Annamaria Gisario, Mehrshad Mehrpouya, Atabak Rahimzadeh, Andrea De Bartolomeis, Massimiliano Barletta. Prediction model for determining the optimum operational parameters in laser forming of fiber-reinforced composites [J]. Advances in Manufacturing, 2020, 8(2): 242-251.
[4]	Xiao-Fen Liu, Wen-Hu Wang, Rui-Song Jiang, Yi-Feng Xiong, Kun-Yang Lin. Tool wear mechanisms in axial ultrasonic vibration assisted milling in-situ TiB₂/7050Al metal matrix composites [J]. Advances in Manufacturing, 2020, 8(2): 252-264.
[5]	Xiao-Guang Guo, Ming Li, Zhi-Gang Dong, Rui-Feng Zhai, Zhu-Ji Jin, Ren-Ke Kang. Smooth particle hydrodynamics modeling of cutting force in milling process of TC4 [J]. Advances in Manufacturing, 2019, 7(4): 364-373.
[6]	Sen-Ming Zhong, Gui-Xiong Liu, Jia-Jian Wu, Bo Zeng. Indirect measurement technology of new energy vehicles' braking force under dynamic braking conditions [J]. Advances in Manufacturing, 2019, 7(4): 389-400.
[7]	Xiang Zou, Hon-Yuen Tam, Hai-Yin Xu, Ke Shi. Flat-end tool orientation based on rotation-minimizing frame [J]. Advances in Manufacturing, 2019, 7(3): 257-269.
[8]	Shu-Tao Huang, Chao Li, Li-Fu Xu, Lin Guo, Xiao-Lin Yu. Variation characteristic of drilling force and influence of cutting parameter of SiCp/Al composite thin-walled workpiece [J]. Advances in Manufacturing, 2019, 7(3): 288-302.
[9]	Saroj Kumar Padhi, S. S. Mahapatra, Rosalin Padhi, Harish Chandra Das. Performance analysis of a thick copper-electroplated FDM ABS plastic rapid tool EDM electrode [J]. Advances in Manufacturing, 2018, 6(4): 442-456.
[10]	Mukesh Kumar Sindhu, Debasish Nandi, Indrajit Basak. Electric discharge phenomenon in dielectric and electrolyte medium [J]. Advances in Manufacturing, 2018, 6(4): 457-464.
[11]	Lutfi Taner Tunc, Orkun Ozsahin. Use of inverse stability solutions for identification of uncertainties in the dynamics of machining processes [J]. Advances in Manufacturing, 2018, 6(3): 308-318.
[12]	Ehsan Jafarzadeh, Mohammad R. Movahhedy, Saeed Khodaygan, Mohammad Ghorbani. Prediction of machining chatter in milling based on dynamic FEM simulations of chip formation [J]. Advances in Manufacturing, 2018, 6(3): 334-344.
[13]	Mohammad Lotfi, Saeid Amini, Ihsan Yaseen Al-Awady. 3D numerical analysis of drilling process: heat, wear, and built-up edge [J]. Advances in Manufacturing, 2018, 6(2): 204-214.
[14]	V. G. Ladeesh, R. Manu. Effect of machining parameters on edge-chipping during drilling of glass using grinding-aided electrochemical discharge machining (G-ECDM) [J]. Advances in Manufacturing, 2018, 6(2): 215-224.
[15]	Somvir Singh Nain, Dixit Garg, Sanjeev Kumar. Evaluation and analysis of cutting speed, wire wear ratio, and dimensional deviation of wire electric discharge machining of super alloy Udimet-L605 using support vector machine and grey relational analysis [J]. Advances in Manufacturing, 2018, 6(2): 225-246.