This Note deals with the modelling of the response in wear of a system of two solids maintained in contact and subject to mechanical cyclic loading. The aim is to reproduce wear contact mechanisms commonly observed under cyclic loading, numerically and experimentally, for bearing journals. The present analysis is devoted to the determination of the system behaviour, the stabilization of its response and more particularly to the asymptotic state in wear under cyclic loading. On the one hand, the proposed modelling also enables to give useful analytical expressions inherent to the asymptotic response, such as the cumulated wear per cycle. On the other hand, it offers the possibility to perform direct sensitivity analyses, for instance to the wear coefficient effect, as studied in the last part of this paper.
On s'intéresse dans cette Note à la modélisation de la réponse en usure d'un système de solides en contact sous cycles de chargement afin de reproduire certains mécanismes de contact avec usure communément observés numériquement et expérimentalement dans les paliers à arbre tournant. L'analyse porte sur la détermination du comportement du système, sur la stabilisation de la réponse de celui-ci et plus particulièrement sur l'état asymptotique en usure sous chargement cyclique. La modélisation proposée permet aussi, d'une part, de donner des expressions analytiques utiles de grandeurs caractéristiques de la réponse asymptotique, telles que l'usure cumulée par cycle et offre, d'autre part, la possibilité d'effectuer des analyses paramétriques rapides, par exemple au coefficient d'usure, comme étudié en dernière partie.
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Mots-clés : Solides et structures, Usure, Contact, Stabilisation, Réponse asymptotique, Modélisation
Nicolas Antoni 1
@article{CRMECA_2010__338_9_545_0, author = {Nicolas Antoni}, title = {On the stabilized asymptotic response of a system of solids in contact with wear}, journal = {Comptes Rendus. M\'ecanique}, pages = {545--552}, publisher = {Elsevier}, volume = {338}, number = {9}, year = {2010}, doi = {10.1016/j.crme.2010.07.017}, language = {en}, }
Nicolas Antoni. On the stabilized asymptotic response of a system of solids in contact with wear. Comptes Rendus. Mécanique, Volume 338 (2010) no. 9, pp. 545-552. doi : 10.1016/j.crme.2010.07.017. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2010.07.017/
[1] Contact and rubbing of flat surfaces, J. Appl. Phys., Volume 24 (1953), pp. 981-988
[2] Avaries en Lubrification : Application aux Paliers, Publ. de l'IFP, Editions Technip, 2004
[3] Friction and Wear of Materials, John Wiley and Sons, 1995
[4] Frottement, Usure et Lubrification, Editions Eyrolles, 2000
[5] Derivation and analysis of a generalized standard model for contact, friction and wear, Internat. J. Solids Structures, Volume 33 (1996) no. 13, pp. 1817-1836
[6] A thermodynamical model of contact, friction and wear: I. Governing equations, Wear, Volume 114 (1987) no. 2, pp. 135-168
[7] A thermodynamic analysis of wear, Handbook of Materials Behavior Models, 2001, pp. 768-776
[8] On a predictive macroscopic contact-sliding wear model based on micromechanical considerations, Internat. J. Solids Structures, Volume 38 (2001) no. 9, pp. 1625-1639
[9] The third body approach: a mechanical view of wear, Wear, Volume 100 (1984), pp. 437-452
[10] Wear modeling and the third body concept, Wear, Volume 262 (2007), pp. 949-957
[11] Modeling of contact between rough surfaces using homogenisation technique, C. R. Mecanique, Volume 338 (2010) no. 1, pp. 48-61
[12] Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, SIAM, 1988 (pp. 307–329)
[13] An optimal control approach to the analysis of inelastic structures under cyclic loading, J. Mech. Phys. Solids (2003), pp. 575-605
[14] Shakedown theorems in contact mechanics, C. R. Mecanique, Volume 336 (2008), pp. 341-346
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