The work aims to comprehensively reveal the adhesion-rebound dynamic behavior and the underlying fundamental physical mechanisms during the high-speed collision between nanoparticles and a solid surface. To achieve this goal, molecular dynamics (MD) simulations were systematically employed to accurately simulate the entire dynamic process of monodisperse SiO2 nanoparticles vertically impacting a polished 316L stainless steel surface. The individual and coupled effects of three key controlling parameters, namely impact velocity (ranging from 100 to 1 000 m/s), system temperature (varying from 300 to 1 200 K), and nanoparticle size (ranging from 5 to 15 nm in diameter), on the impact outcomes and interfacial interactions were quantitatively and systematically investigated. The simulation results revealed that SiO2 nanoparticles presented two distinct dynamic responses upon impact: stable adhesion and rebound. The entire collision process could be broadly categorized into five phases: 1) free approach, 2) acceleration, 3) deceleration and reverse acceleration, 4) post-rebound deceleration, and 5) equilibrium or final rebound. The transition between the two behavioral regimes was mainly governed by the critical impact velocity. Moreover, before being completely and stably adhered to the substrate surface, the nanoparticles commonly underwent a short period of sustained oscillatory motion, which vividly reflected the dynamic competition and energy balance between kinetic energy dissipation and interfacial surface attraction forces. When the impact velocity exceeded a critical rebound threshold, the coefficient of restitution showed a pronounced non-monotonic trend, increasing rapidly within the low-velocity range and then decreasing slowly at higher velocities. This non-monotonic variation clearly indicated a critical transition from elastic-dominated deformation to plastic-dominated deformation regimes. It was also directly observed that after high-velocity impacts, the nanoparticles underwent severe and permanent plastic deformation, which was convincingly evidenced by the irreversible shape change captured in the MD snapshots. However, the metal wall exhibited no noticeable deformation. An increase in system temperature effectively suppressed the rebound tendency of nanoparticles and promoted adhesion, which was attributed to enhanced atomic thermal vibrations and material thermal softening effects, both of which accelerated kinetic energy dissipation during the collision. As the nanoparticle size increased, the coefficient of restitution increased monotonically while the critical rebound velocity decreased correspondingly, demonstrating a significant and inherent size effect. This size-dependent behavior suggested that larger nanoparticles were more prone to rebound due to their lower surface-to-volume ratio and the relatively weakened effect of surface adhesion forces. Furthermore, the qualitative evolutionary trend described by the classical plastic impact model was in excellent quantitative agreement with the MD simulation results, confirming that this theoretical model could be reliably used to explain the dynamic impact behavior of nanoparticles on solid surfaces. Compared with microparticles, the impact dynamics of nanoparticles shared similarities in macroscopic trends, such as the existence of a rebound critical velocity and non-monotonic restitution coefficient. However, due to the prominent size effects, the force mechanisms and microscopic energy dissipation pathways were fundamentally different. This work not only elucidates the key state transitions and energy dissipation mechanisms during nanoparticle impacts but also provides a solid theoretical basis for optimizing micro-nano surface modification and nanocoating preparation processes in advanced industrial applications.
Key words
nanoparticles /
molecular dynamics /
particle impact /
coefficient of restitution /
critical rebound velocity /
surface modification
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References
[1] SUN P X, WANG C L, ZHANG M, et al.Ash Problems and Prevention Measures in Power Plants Burning High Alkali Fuel: Brief Review and Future Perspectives[J]. Science of the Total Environment, 2023, 901: 165985.
[2] SHARMA R, SETIA G.Mechanical Dry Particle Coating on Cohesive Pharmaceutical Powders for Improving Flowability- a Review[J]. Powder Technology, 2019, 356: 458-479.
[3] ZHU X L, ZHANG Q, HUANG C, et al.Validation of Surface Coating with Nanoparticles to Improve the Flowability of Fine Cohesive Powders[J]. Particuology, 2017, 30: 53-61.
[4] 姚国鑫, 王彩丽, 王斌, 等. 粉煤灰表面无机改性及填充尼龙6性能[J]. 矿产综合利用, 2025, 46(3): 26-32.
YAO G X, WANG C L, WANG B, et al.Surface Inorganic Modification of Fly Ash and Its Properties in Filling Nylon 6[J]. Multipurpose Utilization of Mineral Resources, 2025, 46(3): 26-32.
[5] LI J W, WANG G B, ZHANG X R.Molecular Dynamics Study on the Mechanism of Nanoparticle Phase Change Caused by Collision with Wall Surface[J]. Journal of Thermal Science, 2022, 31(4): 1145-1154.
[6] TUCKER W C, DOVE A R, SCHELLING P K.Dissipation and Plastic Deformation in Collisions between Metallic Nanoparticles[J]. Computational Materials Science, 2019, 161: 215-222.
[7] CAI M Y, CHEN S, CHENG Y, et al.Collisional Model of Nanoparticles Molten at High Temperature[J]. Powder Technology, 2025, 452: 120575.
[8] CHEN C K, CHANG S C.An Investigation of the Internal Temperature Dependence of Pd-Pt Cluster Beam Deposition: A Molecular Dynamics Study[J]. Applied Surface Science, 2010, 256(9): 2890-2897.
[9] KHODABAKHSHI M, WEN J Z, TAN Z C.Coefficient of Restitution of Sub-10nm Silver Nanoparticles on an Adhesive Surface under Repulsive and Sticky Conditions[J]. The European Physical Journal D, 2022, 76(9): 156.
[10] YOSHIDA Y, KOKUBO E, TANAKA H.Molecular Dynamics Simulations of Head-on Low-Velocity Collisions between Particles[J]. Physical Review E, 2024, 110: 015001.
[11] PLIMPTON S.Fast Parallel Algorithms for Short-Range Molecular Dynamics[J]. Journal of Computational Physics, 1995, 117(1): 1-19.
[12] STUKOWSKI A.Visualization and Analysis of Atomistic Simulation Data with OVITO-The Open Visualization Tool[J]. Modelling and Simulation in Materials Science and Engineering, 2010, 18(1): 015012.
[13] XIE L, KANG J H, FU X F, et al.Study of Tensile Fracture and Interfacial Strength of 316L/Q345R Stainless Steel Composite Plate Based on Molecular Dynamics[J]. Metals, 2025, 15(5): 502.
[14] MUNETOH S, MOTOOKA T, MORIGUCHI K, et al.Interatomic Potential for Si-O Systems Using Tersoff Parameterization[J]. Computational Materials Science, 2007, 39(2): 334-339.
[15] BONNY G, CASTIN N, TERENTYEV D.Interatomic Potential for Studying Ageing under Irradiation in Stainless Steels: The FeNiCr Model Alloy[J]. Modelling and Simulation in Materials Science and Engineering, 2013, 21(8): 085004.
[16] HALICIOǦLU T, POUND G M. Calculation of Potential Energy Parameters Form Crystalline State Properties[J]. Physica Status Solidi (a), 1975, 30(2): 619-623.
[17] YANG L, SUN L, DENG W Q.Combination Rules for Morse-Based van Der Waals Force Fields[J]. The Journal of Physical Chemistry A, 2018, 122(6): 1672-1677.
[18] RAPPE A K, CASEWIT C J, COLWELL K S, et al.UFF, a Full Periodic Table Force Field for Molecular Mechanics and Molecular Dynamics Simulations[J]. Journal of the American Chemical Society, 1992, 114(25): 10024-10035.
[19] LORENTZ H A. Ueber Die Anwendung des Satzes Vom Virial in Der Kinetischen Theorie Der Gase[J]. Annalen der Physik, 1881, 248(1): 127-136.
[20] 赫文豪, 刘利, 张润青, 等. 高温作用下石英力学性质响应特征的分子模拟[J]. 中国石油大学学报(自然科学版), 2025, 49(3): 116-124.
HE W H, LIU L, ZHANG R Q, et al.Molecular Simulation on Mechanical Response Characteristics of Quartz under High Temperature Conditions[J]. Journal of China University of Petroleum (Edition of Natural Science), 2025, 49(3): 116-124.
[21] HUSAIN A, LA P Q, YUE H Z, et al.Influence of Temperature on Mechanical Properties of Nanocrystalline 316L Stainless Steel Investigated via Molecular Dynamics Simulations[J]. Materials, 2020, 13(12): 2803.
[22] 蓝海鑫, 陈仕奇, 高智, 等. Fe@SiO2软磁复合材料的电子结构和磁性能[J]. 中南大学学报(自然科学版), 2023, 54(4): 1272-1280.
LAN H X, CHEN S Q, GAO Z, et al.Electronic Structure and Magnetic Properties of Fe@SiO2 Soft Magnetic Composites[J]. Journal of Central South University (Science and Technology), 2023, 54(4): 1272-1280.
[23] LI S F, XIE J, DONG M, et al.Rebound Characteristics for the Impact of SiO2 Particle Onto a Flat Surface at Different Temperatures[J]. Powder Technology, 2015, 284: 418-428.
[24] BRILLIANTOV N V, ALBERS N, SPAHN F, et al.Collision Dynamics of Granular Particles with Adhesion[J]. Physical Review E, 2007, 76: 051302
[25] 李新霞, 唐翌. 阻尼作用下一维体系热传导性质的研究[J]. 物理学报, 2006, 55(12): 6556-6561.
LI X X, TANG Y.Heat Conduction in One-Dimensional Systems with Damping[J]. Acta Physica Sinica, 2006, 55(12): 6556-6561.
[26] 谢俊. 微尺度颗粒撞击平板表面的动力学特性研究[D]. 大连: 大连理工大学, 2017.
XIE J.Studies of Dynamic Characteristics for Micro- Particle Impact on a Flat Surface[D]. Dalian: Dalian University of Technology, 2017.
[27] DOMINIK C, TIELENS A G G M. The Physics of Dust Coagulation and the Structure of Dust Aggregates in Space[J]. The Astrophysical Journal, 1997, 480(2): 647-673.
[28] BINGGELI N, CHELIKOWSKY J R.Structural Transformation of Quartz at High Pressures[J]. Nature, 1991, 353(6342): 344-346.
[29] JOHNSON K L, KENDALL K, ROBERTS A D.Surface Energy and the Contact of Elastic Solids[J]. Proceedings of the Royal Society of London A Mathematical and Physical Sciences, 1971, 324(1558): 301-313.
[30] HOGAN J D, SPRAY J G, ROGERS R J, et al.Micro- Scale Energy Dissipation Mechanisms during Dynamic Fracture in Natural Polyphase Ceramic Blocks[J]. International Journal of Impact Engineering, 2011, 38(12): 931-939.
[31] 黄再兴, 郑泉水. 表面能对纳米颗粒的晶格收缩和固有频率的影响[J]. 力学学报, 1998(2): 247-251.
HUANG Z X, ZHENG Q S.Effects of the Surface Energy on the Lattice Contraction and Eigenfrequency of a Nano Grain[J]. Chinese Journal of Theoretical and Applied Mechanics, 1998(2): 247-251.
[32] ROGERS L N, REED J.The Adhesion of Particles Undergoing an Elastic-Plastic Impact with a Surface[J]. Journal of Physics D: Applied Physics, 1984, 17(4): 677-689.
[33] THORNTON C, NING Z M.A Theoretical Model for the Stick/Bounce Behaviour of Adhesive, Elastic-Plastic Spheres[J]. Powder Technology, 1998, 99(2): 154-162.
Funding
National Natural Science Foundation of China (52176148)