Numerical modelling of contact heat transfer problem with work hardened rough surfaces

Abstract A numerical model of heat conduction in vacuum through contact between two rough bodies made of commercial-purity AD1 aluminium is developed. To this end, the elastic–plastic contact deformation problem is solved accounting strain hardening. A method for consideration of surface initial cold work hardening and indentation size effect (ISE) is provided. Plastic characteristics of surface micro-volumes of material were taken from indentation results. Numerical realisation of the model in ANSYS finite element software is considered. Fractal surface models of two levels of roughness were used. Introduction of the second level roughness (microroughness) to the model was found to have considerable effect on the real contact area only when ISE is taken into account. An attempt to compare simulation results with data obtained with Shlykov’s semi-empirical model was made.

[1]  Leon M. Keer,et al.  Scale Effects of Elastic-Plastic Behavior of Microscopic Asperity Contacts , 1995 .

[2]  T. Barratt Thermal and Electrical Conductivities of Some of the Rarer Metals and Alloys , 1913 .

[3]  K. Komvopoulos,et al.  Elastic–plastic spherical indentation: Deformation regimes, evolution of plasticity, and hardening effect , 2013 .

[4]  Thomas Barratt The Magnitude of the Thermal Resistance introduced at the Slightly Conical Junction of Two Solids, and its Variation with the Nature of the Surfaces in Contact , 1915 .

[5]  B. Bhushan,et al.  Fractal Model of Elastic-Plastic Contact Between Rough Surfaces , 1991 .

[6]  Z. Liu,et al.  Influence of Different External Pressure on the Thermo-Mechanical Coupling of the Rough Surface during Sliding Contact , 2009 .

[7]  J. Krim,et al.  Surface roughness, asperity contact and gold RF MEMS switch behavior , 2007 .

[8]  Itzhak Green,et al.  A statistical model of elasto-plastic asperity contact between rough surfaces , 2006 .

[9]  W. E. Wilson,et al.  The pressure to cause complete contact between elastic—plastic sinusoidal surfaces , 2008 .

[10]  M. Ciavarella,et al.  On the elastic contact of rough surfaces : Numerical experiments and comparisons with recent theories , 2006 .

[11]  Paul Ludwik,et al.  Elemente der technologischen Mechanik , 1909 .

[12]  P. Sahoo Adhesive friction for elastic–plastic contacting rough surfaces considering asperity interaction , 2006 .

[13]  AnLiang Wang,et al.  Review of prediction for thermal contact resistance , 2010 .

[14]  Mary Kathryn Thompson,et al.  Considerations for the incorporation of measured surfaces in finite element models. , 2010, Scanning.

[15]  M. Cooper,et al.  Thermal contact conductance , 1969 .

[16]  Yong Hoon Jang,et al.  Linear elastic contact of the Weierstrass profile† , 2000, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[17]  A. Hegazy Thermal Joint Conductance of Conforming Rough Surfaces: Effect of Surface MIcro-Hardness Variation , 2016 .

[18]  Irina Goryacheva,et al.  Contact Mechanics in Tribology , 1998 .

[19]  Mark O. Robbins,et al.  Finite element modeling of elasto-plastic contact between rough surfaces , 2005 .

[20]  Jun Zhang,et al.  Analysis and modeling for flexible joint interfaces under micro and macro scale , 2013 .

[21]  Z. M. Ripin,et al.  Modeling of Microindentation with Consideration of the Surface Roughness , 2013, Metallurgical and Materials Transactions A.

[22]  Michele Ciavarella,et al.  Elastic Multiscale Contact of Rough Surfaces: Archard’s Model Revisited and Comparisons With Modern Fractal Models , 2001 .

[23]  A. Bower,et al.  ROUGH SURFACE PLASTICITY AND ADHESION ACROSS LENGTH SCALES , 2006 .

[24]  M. Yovanovich,et al.  Four decades of research on thermal contact, gap, and joint resistance in microelectronics , 2005, IEEE Transactions on Components and Packaging Technologies.

[25]  Prasanta Sahoo,et al.  Finite element contact analysis of fractal surfaces , 2007 .

[26]  B. B. Mikic,et al.  Thermal contact resistance , 1966 .

[27]  Michele Ciavarella,et al.  Inclusion of “interaction” in the Greenwood and Williamson contact theory , 2008 .

[28]  Christian Mitterer,et al.  3D versus 2D finite element simulation of the effect of surface roughness on nanoindentation of hard coatings , 2009 .

[29]  K. Komvopoulos,et al.  Contact analysis of elastic-plastic fractal surfaces , 1998 .

[30]  A. Majumdar,et al.  Nanoscale thermal transport , 2003, Journal of Applied Physics.

[31]  Elastic and Plastic Mechanical Properties Determined by Nanoindentation and Numerical Simulation at Mesoscale , 2006 .

[32]  J. Molinari,et al.  Finite-element analysis of contact between elastic self-affine surfaces. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Marco Paggi,et al.  Contact conductance of rough surfaces composed of modified RMD patches , 2011 .

[34]  Robert L. Jackson,et al.  Surface separation and contact resistance considering sinusoidal elastic–plastic multi-scale rough surface contact , 2010 .

[35]  Marco Paggi,et al.  On the reliability of microscopical contact models , 2004 .

[36]  F. Boeschoten,et al.  The thermal conductance of contacts between aluminium and other metals , 1957 .

[37]  J. Greenwood,et al.  Surface Roughness and Contact: An Apology , 2001 .

[38]  Effects of nanosized contact spots on thermal contact resistance , 2008 .

[39]  Liming Chang,et al.  A model of asperity interactions in elastic-plastic contact of rough surfaces , 2001 .

[40]  D. Cahill,et al.  Thermal Conductance of metal-metal interfaces , 2005 .

[41]  M. Yovanovich,et al.  Influence of surface roughness and waviness upon thermal contact resistance , 1967 .

[42]  Leroy S. Fletcher,et al.  Contact heat transfer: the last decade , 1986 .

[43]  P. Sahoo,et al.  Asperity interaction in elastic–plastic contact of rough surfaces in presence of adhesion , 2005 .

[44]  M. Ciavarella,et al.  The coefficient of proportionality κ between real contact area and load, with new asperity models , 2010 .

[45]  A Finite Element Method for the Determination of Optimal Viscoelastic Material Properties from Indentation Tests of Polymer Film and Wire with Polymer Insulation , 2008 .

[46]  G. Vorlaufer,et al.  Combined finite element-boundary element method modelling of elastic multi-asperity contacts , 2009 .

[47]  A. K. Varshneya,et al.  Finite element simulation of microindentation on aluminum , 2001 .

[48]  I. Hutchings,et al.  PLASTIC COMPRESSION OF SPHERES , 1984 .

[49]  Gerry E. Schneider,et al.  Thermal Contact Resistance of Nonconforming Rough Surfaces, Part 2: Thermal Model , 2003 .

[50]  Robert L. Jackson,et al.  The Effect of Scale-Dependent Hardness on Elasto-Plastic Asperity Contact between Rough Surfaces , 2006 .

[51]  A. Slocum,et al.  Precision Machine Design , 1992 .

[52]  P. Sahoo,et al.  Asperity interaction in adhesive contact of metallic rough surfaces , 2005 .

[53]  Mary Kathryn Thompson,et al.  A multi-scale iterative approach for finite element modeling of thermal contact resistance , 2007 .

[54]  M. Murashov,et al.  Elastoplastic deformation of a roughness element , 2014 .

[55]  F. P. Bowden,et al.  The Friction and Lubrication of Solids , 1964 .

[56]  S. Harris,et al.  Effects of Contact on the Abrasiveness of a Thin Boron Carbide Coating , 2005 .

[57]  I. Green,et al.  A Finite Element Study of Elasto-Plastic Hemispherical Contact Against a Rigid Flat , 2005 .

[58]  P. Sahoo,et al.  Finite Element based Parametric Study of Elastic-plastic Contact of Fractal Surfaces☆ , 2013 .

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

[60]  P. Wriggers,et al.  A Study on 3D Contact of Rough Surfaces Considering Finite Elastoplasticity , 2007 .

[61]  Jung‐il Song,et al.  Finite element and experimental analysis of Vickers indentation testing on Al2O3 with diamond-like carbon coating , 2012, Journal of Central South University.

[62]  R. Salganik,et al.  Contact interaction of rough elasic solids in the presence of two highly different scales of roughness extent , 2008 .