2014
DOI: 10.1016/j.cma.2014.08.026
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An adaptive finite element procedure for fully-coupled point contact elastohydrodynamic lubrication problems

Abstract: This paper presents an automatic locally adaptive finite element solver for the fullycoupled EHL point contact problems. The proposed algorithm uses a posteriori error estimation in the stress in order to control adaptivity in both the elasticity and the lubrication domains. The implementation is based on the fact that the solution of the linear elasticity equation exhibits large variations close to the the fluid domain on which the Reynolds equation is solved. Thus the local refinement in such region not only… Show more

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Cited by 14 publications
(9 citation statements)
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“…This results have a good agreement with that results presented by Ranger A.P, et al [17]. This represents the characteristic feature for the isoviscous elasto-hydrodynamic regime [18,19].…”
Section: Resultssupporting
confidence: 92%
“…This results have a good agreement with that results presented by Ranger A.P, et al [17]. This represents the characteristic feature for the isoviscous elasto-hydrodynamic regime [18,19].…”
Section: Resultssupporting
confidence: 92%
“…The first class are algorithms conceived to efficiently solve the details of the problem, including the small-scale behavior. Examples of these methods applied to solve tribological problems are the multi-grid [208][209][210][211][212][213] and adaptive mesh refinements [214][215][216][217][218] methods. In fact, these are linear scaling algorithms, which implies that their computational complexity scales linearly with the number of degrees of freedom necessary to represent the detailed micro-scale solution.…”
Section: Numerical Multi-scale Modelingmentioning
confidence: 99%
“…Three values of the load capacity W L = 100, 125, 150 kN/m were selected to demonstrate the response over a range of conditions, these loads represent a lightly loaded contact in which good convergence was achieved. For high loads a more stable solution procedure than that used here would be suitable, such Habchi et al [40] or Ahmed et al [41], these methods would need to be combined with flow factors introduced here in order to incorporate micro-EHL effects.…”
Section: Geometry and Operating Conditions 331 Macro-scale Conditionsmentioning
confidence: 99%
“…Habchi et al [40] or Ahmed et al [41], the HMM method will also be furthered to include out-of-plane lubricant flow in the macro-scale and to model the interaction of two rough deformable surfaces in contact. …”
mentioning
confidence: 99%