Author
D. Berthe
Bio: D. Berthe is an academic researcher from Institut national des sciences Appliquées de Lyon. The author has contributed to research in topics: Waviness & Reynolds equation. The author has an hindex of 7, co-authored 10 publications receiving 181 citations.
Topics: Waviness, Reynolds equation, Lubrication, Surface finish, Discretization
Papers
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TL;DR: In this paper, the influence de la rugosite and de l'ondulation de surface sur la distribution des pressions normales dans un contact hertzien is investigated.
Abstract: Influence de la rugosite et de l'ondulation de surface sur la distribution des pressions normales dans un contact hertzien
68 citations
TL;DR: In this paper, it is shown that if one of the two moving contact surfaces is either rough or deformed and thus cannot be assimilated to a plane, Reynolds equation takes on a different form which is not equivalent to the classical equation.
40 citations
TL;DR: In this article, a simple static elastic contact model is developed to verify and to extend the generalization proposed in an earlier study, and a direct comparison is also given with a recent mathematical model devised by Kalker: this method is seminumerical and requires discretization of the domain as our problem is solved using an integral formulation of the plane theory of elasticity.
23 citations
TL;DR: In this paper, the authors proposed a numerical solution for the point contact problem in EHD point contact problems and analyzed the influence of longitudinal surface waviness on point contact behavior.
17 citations
TL;DR: In this paper, hydrodynamic effects play an important part in the occurrence of surface damage in Hertzian contacts, and direct microscopic observations show that hydrodynamical oil pressure accelerates crack development.
16 citations
Cited by
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TL;DR: An alternative numerical method for solving contact problems for real rough surfaces using a single-loop iteration scheme based on the conjugate gradient method, which converges for arbitrary rough surfaces.
530 citations
TL;DR: A review of contact modeling with an emphasis on the forces of contact and their relationship to the geometrical, material and mechanical properties of the contacting bodies can be found in this paper.
252 citations
TL;DR: In this article, a method was described to determine contact stresses and deformation using a combination of the finite element method and a surface integral form of the Bousinesq solution.
Abstract: A method is described to determine contact stresses and deformation using a combination of the finite element method and a surface integral form of the Bousinesq solution. Numerical examples of contacting hypoid gears are presented.
249 citations
TL;DR: In this paper, a multilevel solver for the circular contact was extended to elliptical contact problems, and it was demonstrated how and when, for contacts with the entrainment directed perpendicular to the major principal axis of the contact ellipse, the pressure and film thickness on the centre-line of a contact can be predicted accurately from an equivalent line contact analysis.
164 citations
TL;DR: In this article, a spectral analysis is used to find the contact pressure or displacement for the contact of smooth surfaces or the complete contact of rough surfaces, which can be used to classify rough surface contacts.
Abstract: Contact problems can be converted into the spatial frequency domain using Fast Fourier Transform (FFT) techniques. Spectral analysis is used to develop an algebraic relationship between the surface displacement and the contact pressure. This relationship can be used to find the contact pressure or displacement for the contact of smooth surfaces or the complete contact of rough surfaces. In addition to providing rapid, robust solutions to contact problems, the algebraic relationship contains details of the relationship between surface displacement and contact pressure on different length scales. In particular, it is shown that the frequency composition of pressure is similar to that for slope of the surface displacement. Thus, the high frequency content of the surface profile gives rise to high localized contact pressure, in some cases singular pressure for complete contact. However, measurement limitations always lead to the omission of certain high frequency components of the surface profile. Assuming that the high frequency content of the surface profile obeys a power law, spectral analysis is also used to estimate partial contact parameters. This result relates the exponent of the power law to the contact pressure and implied surface integrity. It is concluded that spectral analysis can be combined with the FFT to provide a useful technique for classifying rough surface contacts.
163 citations