Micro-roughness effects in (elasto)hydrodynamic lubrication including a mass-flow preserving cavitation model

Bayada, Guy; Martin, Sébastien; Vázquez, Carlos

doi:10.1016/j.triboint.2006.03.003

Cited by 28 publications

(15 citation statements)

References 14 publications

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“…The friction computation is based on the film and pressure distributions that are derived from Eqs. (23)(24)(25)(26)(27)(28). Newtonian fluid model or non-Newtonian fluid model can be used as the rheological model for different lubrication and operating conditions.…”

Section: Mixed Ehl Model In Spiral Bevel Gearsmentioning

confidence: 99%

“…Scholars have made great efforts to develop the mixed elasto-hydrodynamic lubrication (EHL) model with the consideration of roughness. Representative achievements were made by Xu and Sadeghi [18], Zhu and Ai [19], Jiang et al [20], Sicuteri and Salant [21], Hu and Zhu [22], Holmes et al [23], Bayada et al [24], Zhu et al [25,26], et al The developed mixed EHL model has been implemented in the subsurface stress-based fatigue-life model proposed by Zaretsky [12] as an effective approach for pitting fatigue analysis, as reported by Ai [15], Epstein et al [16], Zhu et al [17], Greco et al [27], and Pu et al [7]. Similar combinations of fatigue model and mixed EHL were also applied by Li and Kahraman [28], Li and Anisetti [29], et al Modifications to the mixed EHL model have been attempted in Refs.…”

Section: Introductionmentioning

confidence: 98%

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Microstress cycle and contact fatigue of spiral bevel gears by rolling-sliding of asperity contact

Cao

Ren

et al. 2020

Friction

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The rolling contact fatigue (RCF) model is commonly used to predict the contact fatigue life when the sliding is insignificant in contact surfaces. However, many studies reveal that the sliding, compared to the rolling state, can lead to a considerable reduction of the fatigue life and an excessive increase of the pitting area, which result from the microscopic stress cycle growth caused by the sliding of the asperity contact. This suggests that fatigue life in the rolling-sliding condition can be overestimated based only on the RCF model. The rubbing surfaces of spiral bevel gears are subject to typical rolling-sliding motion. This paper aims to study the mechanism of the micro stress cycle along the meshing path and provide a reasonable method for predicting the fatigue life in spiral bevel gears. The microscopic stress cycle equation is derived with the consideration of gear meshing parameters. The combination of the RCF model and asperity stress cycle is developed to calculate the fatigue life in spiral bevel gears. We find that the contact fatigue life decreases significantly compared with that obtained from the RCF model. There is strong evidence that the microscopic stress cycle is remarkably increased by the rolling-sliding motion of the asperity contact, which is consistent with the experimental data in previous literature. In addition, the fatigue life under different assembling misalignments are investigated and the results demonstrate the important role of misalignments on fatigue life.

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Section: Mixed Ehl Model In Spiral Bevel Gearsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Microstress cycle and contact fatigue of spiral bevel gears by rolling-sliding of asperity contact

Cao

Ren

et al. 2020

Friction

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“…The stationary case with different types of non-Newtonian fluids was analyzed by multiple scale expansions in [26]. Roughness effects in stationary Newtonian lubrication taking cavitation into account by the Elrod-Adams model in [19] were studied by two-scale convergence in [10,33] and by asymptotic expansions in [11,12]. In addition to cavitation, several local scales are taken into account in [33] and elsto hydrodynamic phenomenon in [12].…”

Section: Theorem 51mentioning

confidence: 99%

“…Roughness effects in stationary Newtonian lubrication taking cavitation into account by the Elrod-Adams model in [19] were studied by two-scale convergence in [10,33] and by asymptotic expansions in [11,12]. In addition to cavitation, several local scales are taken into account in [33] and elsto hydrodynamic phenomenon in [12]. Cavitation in the unstationary case with Newtonian fluid was modeled by variational inequalities in [8], and the effects of surface roughness were analyzed by two-scale convergence.…”

Section: Theorem 51mentioning

confidence: 99%

Homogenization of a class of nonlinear variational inequalities with applications in fluid film flow

Lukkassen¹,

Meidell²,

Wall

2011

Chin. Ann. Math. Ser. B

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The authors consider the homogenization of a class of nonlinear variational inequalities, which include rapid oscillations with respect to a parameter. The homogenization of the corresponding class of differential equations is also studied. The results are applied to some models for the pressure in a thin fluid film fluid between two surfaces which are in relative motion. This is an important problem in the lubrication theory. In particular, the analysis includes the effects of surface roughness on both faces and the phenomenon of cavitation. Moreover, the fluid can be modeled as Newtonian or non-Newtonian by using a Rabinowitsch fluid model.

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“…Elrod's approach assumed an incompressible fluid and no solid deformation, with the bulk modulus of the lubricant used to couple density in the liquid and vapour phases [14]. Bayada et al [16][17][18] developed the method for including elastohydrodynamic effects and the influence of homogenised surface roughness, and subsequently Sahlin et al [19] generalised the method for arbitrary pressure-density relationships.…”

Section: Introductionmentioning

confidence: 99%

An Arbitrary Lagrangian–Eulerian Formulation for Modelling Cavitation in the Elastohydrodynamic Lubrication of Line Contacts

Boer

Dowson

2018

Lubricants

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Abstract:In this article an arbitrary Lagrangian-Eulerian (ALE) formulation for modelling cavitation in elastohydrodynamic lubrication (EHL) is derived and applied to line contact geometry. The method is developed in order to locate the position of cavitation onset along the length of the contacting region which gives the transition from liquid to vapour in the fluid. The ALE is implemented by introducing a spatial frame of reference in which the solution is required and a material frame of reference in which the governing equations are solved. The spatial frame is moved from the material frame according to the error in the Neumann pressure gradient constraint required at the cavitation location when Dirichlet constraints are imposed for pressure in the liquid phase. Results are calculated under both steady-state and transient operating conditions using a multigrid solver. The solutions obtained are compared to established literature and conventional approaches to modelling cavitation which show that the ALE formulation is an alternative, straightforward and accurate means of implementing such conditions in EHL. This is achieved without the penalties associated with the numerical modelling of Heaviside functions or free boundaries.

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Micro-roughness effects in (elasto)hydrodynamic lubrication including a mass-flow preserving cavitation model

Cited by 28 publications

References 14 publications

Microstress cycle and contact fatigue of spiral bevel gears by rolling-sliding of asperity contact

Microstress cycle and contact fatigue of spiral bevel gears by rolling-sliding of asperity contact

Homogenization of a class of nonlinear variational inequalities with applications in fluid film flow

An Arbitrary Lagrangian–Eulerian Formulation for Modelling Cavitation in the Elastohydrodynamic Lubrication of Line Contacts

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