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Codrignani A, Peeters S, Holey H, Stief F, Savio D, Pastewka L, Moras G, Falk K, Moseler M. Toward a continuum description of lubrication in highly pressurized nanometer-wide constrictions: The importance of accurate slip laws. SCIENCE ADVANCES 2023; 9:eadi2649. [PMID: 38039366 PMCID: PMC10691767 DOI: 10.1126/sciadv.adi2649] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/14/2023] [Accepted: 11/01/2023] [Indexed: 12/03/2023]
Abstract
The Reynolds lubrication equation (RLE) is widely used to design sliding contacts in mechanical machinery. While providing an excellent description of hydrodynamic lubrication, friction in boundary lubrication regions is usually considered by empirical laws, because continuum theories are expected to fail for lubricant film heights h0 ≪ 10 nm, especially in highly loaded tribosystems with normal pressures pn ≫ 0.1 GPa. Here, the performance of RLEs is validated by molecular dynamics simulations of pressurized (with pn = 0.2 to 1 GPa) hexadecane in a gold converging-diverging channel with minimum gap heights h0 = 1.4 to 9.7 nm. For pn ≤ 0.4 GPa and h0 ≥ 5 nm, agreement with the RLE requires accurate constitutive laws for pressure-dependent density and viscosity. An additional nonlinear wall slip law relating wall slip velocities to local shear stresses extends the RLE's validity to even the most severe loading condition pn = 1 GPa and h0 = 1.4 nm. Our results demonstrate an innovative route for continuum modeling of highly loaded tribological contacts under boundary lubrication.
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Affiliation(s)
- Andrea Codrignani
- Microtribology Center μTC, Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany
- Freiburg Materials Research Center, University of Freiburg, Stefan-Meier-Straße 21, 79104 Freiburg, Germany
| | - Stefan Peeters
- Microtribology Center μTC, Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany
| | - Hannes Holey
- Microtribology Center μTC, Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany
- Freiburg Materials Research Center, University of Freiburg, Stefan-Meier-Straße 21, 79104 Freiburg, Germany
| | - Franziska Stief
- Microtribology Center μTC, Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany
- Institute of Physics, University of Freiburg, Hermann-Herder-Straße 3a, 79104 Freiburg, Germany
| | - Daniele Savio
- Microtribology Center μTC, Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany
- Freudenberg Technology Innovation SE & Co. KG, Höhnerweg 2-4, 69469 Weinheim, Germany
| | - Lars Pastewka
- Department of Microsystems Engineering, University of Freiburg, Georges-Köhler-Allee 103, 79110 Freiburg, Germany
| | - Gianpietro Moras
- Microtribology Center μTC, Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany
| | - Kerstin Falk
- Microtribology Center μTC, Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany
| | - Michael Moseler
- Microtribology Center μTC, Fraunhofer Institute for Mechanics of Materials IWM, Wöhlerstraße 11, 79108 Freiburg, Germany
- Freiburg Materials Research Center, University of Freiburg, Stefan-Meier-Straße 21, 79104 Freiburg, Germany
- Institute of Physics, University of Freiburg, Hermann-Herder-Straße 3a, 79104 Freiburg, Germany
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Yasuda I, Kobayashi Y, Endo K, Hayakawa Y, Fujiwara K, Yajima K, Arai N, Yasuoka K. Combining Molecular Dynamics and Machine Learning to Analyze Shear Thinning for Alkane and Globular Lubricants in the Low Shear Regime. ACS APPLIED MATERIALS & INTERFACES 2023; 15:8567-8578. [PMID: 36715349 DOI: 10.1021/acsami.2c16366] [Citation(s) in RCA: 5] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/18/2023]
Abstract
Lubricants with desirable frictional properties are important in achieving an energy-saving society. Lubricants at the interfaces of mechanical components are confined under high shear rates and pressures and behave quite differently from the bulk material. Computational approaches such as nonequilibrium molecular dynamics (NEMD) simulations have been performed to probe the molecular behavior of lubricants. However, the low-shear-velocity regions of the materials have rarely been simulated owing to the expensive calculations necessary to do so, and the molecular dynamics under shear velocities comparable with that in the experiments are not clearly understood. In this study, we performed NEMD simulations of extremely confined lubricants, i.e., two molecular layers for four types of lubricants confined in mica walls, under shear velocities from 0.001 to 1 m/s. While we confirmed shear thinning, the velocity profiles could not show the flow behavior when the shear velocity was much slower than thermal fluctuations. Therefore, we used an unsupervised machine learning approach to detect molecular movements that contribute to shear thinning. First, we extracted the simple features of molecular movements from large amounts of MD data, which were found to correlate with the effective viscosity. Subsequently, the extracted features were interpreted by examining the trajectories contributing to these features. The magnitude of diffusion corresponded to the viscosity, and the location of slips that varied depending on the spherical and chain lubricants was irrelevant. Finally, we attempted to apply a modified Stokes-Einstein relation at equilibrium to the nonequilibrium and confined systems. While systems with low shear rates obeyed the relation sufficiently, large deviations were observed under large shear rates.
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Affiliation(s)
- Ikki Yasuda
- Department of Mechanical Engineering, Keio University, Yokohama, Kanagawa223-8522, Japan
| | - Yusei Kobayashi
- Department of Mechanical Engineering, Keio University, Yokohama, Kanagawa223-8522, Japan
| | - Katsuhiro Endo
- Department of Mechanical Engineering, Keio University, Yokohama, Kanagawa223-8522, Japan
| | - Yoshihiro Hayakawa
- Department of General Engineering, National Institute of Technology, Sendai College, Sendai, Miyagi989-3128, Japan
| | - Kazuhiko Fujiwara
- Department of General Engineering, National Institute of Technology, Sendai College, Sendai, Miyagi989-3128, Japan
| | - Kuniaki Yajima
- Department of General Engineering, National Institute of Technology, Sendai College, Sendai, Miyagi989-3128, Japan
| | - Noriyoshi Arai
- Department of Mechanical Engineering, Keio University, Yokohama, Kanagawa223-8522, Japan
| | - Kenji Yasuoka
- Department of Mechanical Engineering, Keio University, Yokohama, Kanagawa223-8522, Japan
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Liu D, Li H, Huo L, Wang K, Sun K, Wei J, Chen F. Molecular dynamics simulation of the lubricant conformation changes and energy transfer of the confined thin lubricant film. Chem Eng Sci 2023. [DOI: 10.1016/j.ces.2023.118541] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/10/2023]
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4
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Temperature Rise Inside Shear Bands in a Simple Model Glass. Int J Mol Sci 2022; 23:ijms232012159. [PMID: 36293022 PMCID: PMC9602912 DOI: 10.3390/ijms232012159] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/01/2022] [Revised: 10/05/2022] [Accepted: 10/07/2022] [Indexed: 11/16/2022] Open
Abstract
One of the key factors, which hampers the application of metallic glasses as structural components, is the localization of deformation in narrow bands of a few tens up to one hundred nanometers thickness, the so-called shear bands. Processes, which occur inside shear bands are of central importance for the question whether a catastrophic failure of the material is unavoidable or can be circumvented or, at least, delayed. Via molecular dynamics simulations, this study addresses one of these processes, namely the local temperature rise due to viscous heat generation. The major contribution to energy dissipation is traced back to the plastic work performed by shear stress during steady deformation. Zones of largest strain contribute the most to this process and coincide with high-temperature domains (hottest spots) inside the sample. Magnitude of temperature rise can reach a few percent of the sample’s glass transition temperature. Consequences of these observations are discussed in the context of the current research in the field.
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5
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Traction behavior and mechanism of molecular level with effects of molecular structure and sliding velocity in boundary lubrication regime: A molecular dynamics study. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.118844] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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Sugimura N, Khajeh K, Washizu H. Solid Lubricants of Combined Graphene and Iron Nanoparticles for Study of Friction and Stability. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2022; 38:1860-1868. [PMID: 35073102 DOI: 10.1021/acs.langmuir.1c03075] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
This study focuses on designing solid lubricant particles by combining graphene and iron nanoparticles (namely, graphene-iron (GI) particles) and carrying out studies for behaviors of their lubrication for the iron contact by molecular dynamics simulations. By the annealing process of melting and cooling iron, we can create the lubricant particle, where the iron nanoparticle tightly holds the graphene sheet. In the sliding friction investigations, it is found that the influences of orientation of the graphene sheets inside the contact, size and configuration of the GI particles, and lubrication with the bare iron nanoparticles on friction are strong at low pressure and very slight at high pressure. The GI particles provide stability of the friction coefficient over a wide range of pressure; however, it strongly increases with pressure in the lubrication behaviors by the bare iron particles due to the deformation of the particles. The iron contact in the presence of the GI particles can achieve the ultralow values of the friction coefficient from 0.009 to 0.042. The contact surfaces are not nearly damaged (slightly elastic deformation) with the pressure up to 2.0 GPa. From the comparisons between the results in this study and previous reports, the GI particles have better lubrication than graphene coated on a surface and well stabilize under pressure compared to the different lubricant nanoparticles. The main reason for this is due to the contributions of graphene, besides reduction of the contact area resulted from the configuration of the nanoparticle, which promotes sliding and sharing of the pressure, preventing collision between the lubricant particles.
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Affiliation(s)
- Natsuko Sugimura
- Graduate School of Information Science, University of Hyogo, Kobe, Hyogo 650-0047, Japan
- Advanced Research Laboratories, Tokyo City University, 1-28-1 Tamazutsumi, Setagaya, Tokyo 158-8557, Japan
| | - Kosar Khajeh
- Graduate School of Information Science, University of Hyogo, Kobe, Hyogo 650-0047, Japan
| | - Hitoshi Washizu
- Graduate School of Information Science, University of Hyogo, Kobe, Hyogo 650-0047, Japan
- Elements Strategy Initiative for Catalysts and Batteries (ESICB), Kyoto University, 1-30 GoryoOhara, Nishikyo-ku, Kyoto 615-8245, Japan
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History-Dependent Stress Relaxation of Liquids under High-Confinement: A Molecular Dynamics Study. LUBRICANTS 2022. [DOI: 10.3390/lubricants10020015] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
When liquids are confined into a nanometer-scale slit, the induced layering-like film structure allows the liquid to sustain non-isotropic stresses and thus be load-bearing. Such anisotropic characteristics of liquid under confinement arise naturally from the liquids’ wavenumber dependent compressibility, which does not need solidification to take place as a prerequisite. In other words, liquids under confinement can still retain fluidity with molecules being (sub-)diffusive. However, the extensively prolonged structural relaxation times can cause hysteresis of stress relaxation of confined molecules in response to the motions of confining walls and thereby rendering the quasi-static stress tensors history-dependent. In this work, by means of molecular dynamics, stress tensors of a highly confined key base-oil component, i.e., 1-decene trimer, are calculated after its relaxation from being compressed and decompressed. A maximum of 77.1 MPa normal stress discrepancy has been detected within a triple-layer boundary film. Analyses with respect to molecular morphology indicate that among the effects (e.g., confinement, molecular structure, and film density) that can potentially affect confined stresses, the ordering status of the confined molecules plays a predominant role.
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Stephan S, Dyga M, Alabd Alhafez I, Lenhard J, Urbassek HM, Hasse H. Reproducibility of atomistic friction computer experiments: a molecular dynamics simulation study. MOLECULAR SIMULATION 2021. [DOI: 10.1080/08927022.2021.1987430] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
Affiliation(s)
- Simon Stephan
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
| | - Maximilian Dyga
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
| | - Iyad Alabd Alhafez
- Physics Department and Research Center (OPTIMAS), TU Kaiserslautern, Kaiserslautern, Germany
| | - Johannes Lenhard
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
| | - Herbert M. Urbassek
- Physics Department and Research Center (OPTIMAS), TU Kaiserslautern, Kaiserslautern, Germany
| | - Hans Hasse
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
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Kondratyuk N, Lenev D, Pisarev V. Transport coefficients of model lubricants up to 400 MPa from molecular dynamics. J Chem Phys 2020; 152:191104. [PMID: 33687262 DOI: 10.1063/5.0008907] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In this paper, the predictive power of molecular dynamics methods is demonstrated for the cases of model paraffinic and aromatic lubricant liquids at pressures up to 400 MPa. The shear viscosity and self-diffusion coefficients are calculated for 2,2,4-trimethylpentane (C8H18) at 298 K and 1,1-diphenylethane (C14H14) at 333 K. Three force fields with different levels of accuracy are compared by the ability to predict the experimental data. The Stokes-Einstein correlation between viscosity and self-diffusion is demonstrated for both compounds.
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Affiliation(s)
- N Kondratyuk
- Joint Institute for High Temperatures Russian Academy of Sciences, Moscow, Russia
| | - D Lenev
- Joint Institute for High Temperatures Russian Academy of Sciences, Moscow, Russia
| | - V Pisarev
- Joint Institute for High Temperatures Russian Academy of Sciences, Moscow, Russia
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Stephan S, Dyga M, Urbassek HM, Hasse H. The Influence of Lubrication and the Solid-Fluid Interaction on Thermodynamic Properties in a Nanoscopic Scratching Process. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:16948-16960. [PMID: 31815481 DOI: 10.1021/acs.langmuir.9b01033] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Liquid lubricants play an important role in contact processes; for example, they reduce friction and cool the contact zone. To gain better understanding of the influence of lubrication on the nanoscale, both dry and lubricated scratching processes in a model system are compared in the present work using molecular dynamics simulations. The entire range between total dewetting and total wetting is investigated by tuning the solid-fluid interaction energy. The investigated scratching process consists of three sequential movements: A cylindrical indenter penetrates an initially flat substrate, then scratches in the lateral direction, and is finally retracted out of the contact with the substrate. The indenter is fully submersed in the fluid in the lubricated cases. The substrate, the indenter, and the fluid are described by suitably parametrized Lennard-Jones model potentials. The presence of the lubricant is found to have a significant influence on the friction and on the energy balance of the process. The thermodynamic properties of the lubricant are evaluated in detail. A correlation of the simulation results for the profiles of the temperature, density, and pressure of the fluid in the vicinity of the chip is developed. The work done by the indenter is found to mainly dissipate and thereby heat up the substrate and eventually the fluid. Only a minor part of the work causes plastic deformation of the substrate.
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