Up to now, most of the numerical works dealing with the modelling of the isothermal elastohydrodynamic problem were based on a weak coupling resolution of the Reynolds and elasticity equations (semi-system approach). The latter were solved separately using a Finite Difference discretization. Very few authors attempted to solve the problem in a fully coupled way, thus solving both equations simultaneously (full-system approach). These attempts suffered from a major drawback which is the almost full Jacobian matrix of the non-linear system of equations. This work presents a new approach for solving the fully coupled isothermal elastohydrodynamic problem using a Finite Element discretization of the corresponding equations. The complexity is the same as for classical algorithms, but with an improved convergence rate, a reduced size of the problem and a regular sparse Jacobian matrix. This method is applied to the case of a Generalized Newtonian lubricant using a powerful shear-thinning model. The results are compared with experimental data.
- Tribology Division
A Finite Element Approach of the Fully Coupled Elastohydrodynamic Problem
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Habchi, W, Eyheramendy, D, Bair, S, Vergne, P, & Morales-Espejel, G. "A Finite Element Approach of the Fully Coupled Elastohydrodynamic Problem." Proceedings of the ASME/STLE 2007 International Joint Tribology Conference. ASME/STLE 2007 International Joint Tribology Conference, Parts A and B. San Diego, California, USA. October 22–24, 2007. pp. 1037-1039. ASME. https://doi.org/10.1115/IJTC2007-44200
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