A multi-scale FEM-BEM formulation for contact mechanics between rough surfaces
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A novel multi-scale finite element formulation for contact mechanics between nominally smooth but microscopically rough surfaces is herein proposed. The approach integrates the interface finite element method (FEM) for modelling interface interactions at the macro-scale with a boundary element method (BEM) for the solution of the contact problem at the micro-scale. The BEM is used at each integration point to determine the normal contact traction and the normal contact stiffness, allowing to take into account any desirable kind of rough topology, either real, e.g. obtained from profilometric data, or artificial, evaluated with the most suitable numerical or analytical approach. Different numerical strategies to accelerate coupling between FEM and BEM are discussed in relation to a selected benchmark test.
KeywordsContact mechanics Roughness Finite element method Boundary element method Multi-scale method
The authors would like to acknowledge funding from the MIUR-DAAD Joint Mobility Program 2017 to the project “Multi-scale modelling of friction for large scale engineering problems”. The project has been granted by the Italian Ministry of Education, University and Research (MIUR) and by the Deutscher Akademischer Austausch Dienst (DAAD) through funds of the German Federal Ministry of Education and Research (BMBF).
- 3.Vakis A, Yastrebov V, Scheibert J, Nicola L, Dini D, Minfray C, Almqvist A, Paggi M, Lee S, Limbert G, Molinari J, Anciaux G, Echeverri Restrepo S, Papangelo A, Cammarata A, Nicolini P, Aghababaei R, Putignano C, Stupkiewicz S, Lengiewicz J, Costagliola G, Bosia F, Guarino R, Pugno N, Carbone G, Mueser M, Ciavarella M (2018) Modeling and simulation in tribology across scales: an overview. Tribol Int 125:169–199. https://doi.org/10.1016/j.riboint.2018.02.005 CrossRefGoogle Scholar
- 4.Rabinowicz E (1965) Friction and wear of materials. Wiley, New YorkGoogle Scholar
- 20.Andersson T (1981) The boundary element method applied to two-dimensional contact problems with friction. In: Boundary element methods, Vol 3, pp 239–258Google Scholar
- 21.Man K (1994) Contact mechanics using boundary elements, topics in engineering, vol 22. Southampton, BostonGoogle Scholar
- 27.Paggi M, Reinoso J (2018) A variational approach with embedded roughness for adhesive contact problems. Mech Adv Mater Struct 10(1080/15376494):1525454Google Scholar
- 37.Paggi M, Barber J (2011) Contact conductance of rough surfaces composed of modified rmd patches. Int J Heat Mass Transf 54:4664–4672. https://doi.org/10.1016/j.ijheatmasstransfer.2011.06.011 CrossRefzbMATHGoogle Scholar
- 41.Yovanivich MM, Devaal J, Hegazy AH (1982) A statistical model to predict thermal gap conductance between conforming rough surfaces, In: 3rd joint thermophysics, fluids, plasma and heat transfer conference, American Institute of Aeronautics and Astronautics, Reston, Virigina. https://doi.org/10.2514/6.1982-888
- 42.Yovanivich MM, Hegazy AH, Devaal J (1982) Surface hardness distribution effects upon contact, gap and joint conductances, In: 3rd Joint thermophysics, fluids, plasma and heat transfer conference, American Institute of Aeronautics and Astronautics, Reston, Virigina. https://doi.org/10.2514/6.1982-887