Modelling three-dimensional soft elastohydrodynamic lubrication contact of heterogeneous materials

Abstract This paper presents an approach for modelling three-dimensional soft elastohydrodynamic lubrication (EHL) contact of heterogeneous materials. In this approach, a hydrodynamic interface element is developed to achieve the coupling of elastic deformation of heterogeneous contacting bodies and the steady-state hydrodynamic lubrication at the contact interface. The deformation behaviors are simulated by the finite element method, while the hydrodynamic lubrication is dealt with by solving the Reynolds equation. This approach can enable the simulation of soft EHL contact between bodies with heterogeneous materials and complicated geometric configurations. Predicted lubrication performances of soft EHL contacts show good agreement with the experimental measurements reported in literature. Analysis and discussion are also conducted on various cases of soft EHL contact between an elastic ball and a coating-substrate system with or without inhomogeneities.

[1]  Jun He,et al.  Experimental and Numerical Analysis of Soft Elastohydrodynamic Lubrication in Line Contact , 2017, Tribology Letters.

[2]  Yuan-zhong Hu,et al.  Stress Analysis on Layered Materials in Point Elastohydrodynamic-Lubricated Contacts , 2009 .

[3]  Dirk Bartel,et al.  An axisymmetric hydrodynamic interface element for finite-element computations of mixed lubrication in rubber seals , 2008 .

[4]  V. Zoelen Thin layer flow in rolling element bearings , 2009 .

[5]  Roberto F. Ausas,et al.  The Impact of the Cavitation Model in the Analysis of Microtextured Lubricated Journal Bearings , 2007 .

[6]  D. Eyheramendy,et al.  A Full-System Approach of the Elastohydrodynamic Line/Point Contact Problem , 2008 .

[7]  Baoren Li,et al.  A Strongly Coupled Fluid Structure Interaction Solution for Transient Soft Elastohydrodynamic Lubrication Problems in Reciprocating Rod Seals Based on a Combined Moving Mesh Method , 2015 .

[8]  D. McElwain,et al.  Elastohydrodynamics of the Eyelid Wiper , 2008, Bulletin of mathematical biology.

[9]  Aurelian Fatu,et al.  Numerical modelling of hydraulic seals by inverse lubrication theory , 2011 .

[10]  Richard F. Salant,et al.  Elastohydrodynamic Analysis of an Elastomeric Hydraulic Rod Seal During Fully Transient Operation , 2009 .

[11]  Jakub Lengiewicz,et al.  Mixed formulation and finite element treatment of the mass-conserving cavitation model , 2014 .

[12]  Stanisław Stupkiewicz,et al.  Elastohydrodynamic lubrication and finite configuration changes in reciprocating elastomeric seals , 2009 .

[13]  George K. Nikas,et al.  Nonlinear elasticity of rectangular elastomeric seals and its effect on elastohydrodynamic numerical analysis , 2004 .

[14]  Richard F. Salant,et al.  Numerical Model of a Tandem Reciprocating Hydraulic Rod Seal , 2008 .

[15]  J. Greenwood,et al.  Contact of nominally flat surfaces , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  K. Zhou,et al.  Numerical modeling of elastohydrodynamic lubrication in point or line contact for heterogeneous elasto-plastic materials , 2017 .

[17]  An Elastohydrodynamic Lubrication Model for Coated Surfaces in Point Contacts , 2007 .

[18]  B. Schweizer Numerical Approach for Solving Reynolds Equation With JFO Boundary Conditions Incorporating ALE Techniques , 2009 .

[19]  A. Kashani,et al.  Additive manufacturing (3D printing): A review of materials, methods, applications and challenges , 2018, Composites Part B: Engineering.

[20]  Gustavo C. Buscaglia,et al.  Mass-conserving cavitation model for dynamical lubrication problems. Part II: Numerical analysis , 2015, Math. Comput. Simul..

[21]  Jason R. Stokes,et al.  Soft-tribology : Lubrication in a compliant PDMS-PDMS contact , 2007 .

[22]  R. D. Gibson,et al.  The elastic contact of a rough surface , 1975 .

[23]  Analysis of fluid pressure, interface stresses and stress intensity factors for layered materials with cracks and inhomogeneities under elastohydrodynamic lubrication contact , 2015 .

[24]  Gerhard Poll,et al.  A transient 2D-finite-element approach for the simulation of mixed lubrication effects of reciprocating hydraulic rod seals , 2010 .

[25]  Wang-Long Li,et al.  Soft EHL for transversely isotropic materials , 2013 .

[26]  J. Vicente,et al.  Soft lubrication of model hydrocolloids , 2006 .

[27]  Scott Bair,et al.  High Pressure Rheology for Quantitative Elastohydrodynamics , 2007 .

[28]  J. Bongaerts,et al.  In situ confocal Raman spectroscopy of lubricants in a soft elastohydrodynamic tribological contact , 2008 .

[29]  Henry Peredur Evans,et al.  Micro-elastohydrodynamic lubrication of coated cylinders using coupled differential deflection method , 2006 .

[30]  A Three-Dimensional Model of Line-Contact Elastohydrodynamic Lubrication for Heterogeneous Materials with Inclusions , 2016 .

[31]  Hugh Spikes,et al.  The Frictional Properties of Newtonian Fluids in Rolling–Sliding soft-EHL Contact , 2005 .

[32]  P. Sainsot,et al.  An Efficient 3D Model of Heterogeneous Materials for Elastic Contact Applications Using Multigrid Methods , 2012 .

[33]  Lars Bobach,et al.  Multibody dynamics of pivot slipper pad thrust bearing in axial piston machines incorporating thermal elastohydrodynamics and mixed lubrication model , 2016 .

[34]  H. Spikes,et al.  Influence of load and elastic properties on the rolling and sliding friction of lubricated compliant contacts , 2010 .

[35]  K. Zhou,et al.  Heterogeneous structures with inhomogeneous inclusions under elastohydrodynamic lubrication contact with consideration of surface roughness , 2016 .

[36]  Wing Kam Liu,et al.  Nonlinear Finite Elements for Continua and Structures , 2000 .

[37]  Duncan Dowson,et al.  Elastohydrodynamic and micro-elastohydrodynamic lubrication , 1995 .

[38]  S. Stupkiewicz,et al.  Finite deformation effects in soft elastohydrodynamic lubrication problems , 2016 .

[39]  Roberto F. Ausas,et al.  A Mass-Conserving Algorithm for Dynamical Lubrication Problems With Cavitation , 2009 .

[40]  Dong Zhu,et al.  Effect of Stiff Coatings on EHL Film Thickness in Point Contacts , 2008 .

[41]  J. Vicente,et al.  Viscosity Ratio Effect in the Emulsion Lubrication of Soft EHL Contact , 2006 .

[43]  Gustavo C. Buscaglia,et al.  Mass-conserving cavitation model for dynamical lubrication problems. Part I: Mathematical analysis , 2015, Math. Comput. Simul..

[44]  Elastohydrodynamic lubrication modeling for materials with multiple cracks , 2014 .

[45]  Kun Zhou,et al.  Multiple Inhomogeneous Inclusions and Cracks in a Half Space Under Elastohydrodynamic Lubrication Contact , 2015 .

[46]  Hugh Spikes,et al.  Elastohydrodynamic film thickness of soft EHL contacts using optical interferometry , 2016 .

[47]  J. Greenwood,et al.  The Contact of Two Nominally Flat Rough Surfaces , 1970 .

[48]  R K Korhonen,et al.  Effect of bone inhomogeneity on tibiofemoral contact mechanics during physiological loading. , 2016, Journal of biomechanics.

[49]  John I. McCool,et al.  Comparison of models for the contact of rough surfaces , 1986 .

[50]  S. Stupkiewicz Finite element treatment of soft elastohydrodynamic lubrication problems in the finite deformation regime , 2009 .

[51]  Brian J. Briscoe,et al.  Friction and lubrication of human skin , 2007 .

[52]  L. Keer,et al.  Mechanics of Materials and Structures ANALYSIS OF HARD COATINGS ON A SUBSTRATE CONTAINING INHOMOGENEITIES , 2011 .

[53]  Dong Zhu,et al.  Elastohydrodynamic Lubrication of Inhomogeneous Materials Using the Equivalent Inclusion Method , 2014 .