Comptes Rendus
On the stabilized asymptotic response of a system of solids in contact with wear
[Sur la réponse asymptotique stabilisée d'un système de solides en contact avec usure]
Comptes Rendus. Mécanique, Volume 338 (2010) no. 9, pp. 545-552.

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.

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.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2010.07.017
Keywords: Solids and structures, Wear, Contact, Stabilization, Asymptotic response, Modelling
Mot clés : Solides et structures, Usure, Contact, Stabilisation, Réponse asymptotique, Modélisation
Nicolas Antoni 1

1 TEUCHOS, SAFRAN Group, Mechanics of Structures Department, 10 rue du Fort de Saint Cyr, 78180 Montigny-Le-Bretonneux, France
@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},
}
TY  - JOUR
AU  - Nicolas Antoni
TI  - On the stabilized asymptotic response of a system of solids in contact with wear
JO  - Comptes Rendus. Mécanique
PY  - 2010
SP  - 545
EP  - 552
VL  - 338
IS  - 9
PB  - Elsevier
DO  - 10.1016/j.crme.2010.07.017
LA  - en
ID  - CRMECA_2010__338_9_545_0
ER  - 
%0 Journal Article
%A Nicolas Antoni
%T On the stabilized asymptotic response of a system of solids in contact with wear
%J Comptes Rendus. Mécanique
%D 2010
%P 545-552
%V 338
%N 9
%I Elsevier
%R 10.1016/j.crme.2010.07.017
%G en
%F CRMECA_2010__338_9_545_0
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] J.F. Archard Contact and rubbing of flat surfaces, J. Appl. Phys., Volume 24 (1953), pp. 981-988

[2] J.-L. Ligier Avaries en Lubrification : Application aux Paliers, Publ. de l'IFP, Editions Technip, 2004

[3] E. Rabinowicz Friction and Wear of Materials, John Wiley and Sons, 1995

[4] J.M. Georges Frottement, Usure et Lubrification, Editions Eyrolles, 2000

[5] N. Stromberg; L. Johansson; A. Klarbring 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. Zmitrowicz A thermodynamical model of contact, friction and wear: I. Governing equations, Wear, Volume 114 (1987) no. 2, pp. 135-168

[7] H.D. Bui; M. Dragon-Louiset; C. Stolz A thermodynamic analysis of wear, Handbook of Materials Behavior Models, 2001, pp. 768-776

[8] M. Dragon-Louiset 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] M. Godet The third body approach: a mechanical view of wear, Wear, Volume 100 (1984), pp. 437-452

[10] N. Fillot; I. Iordanoff; Y. Berthier Wear modeling and the third body concept, Wear, Volume 262 (2007), pp. 949-957

[11] S. Belghith; S. Mezlini; H. Belhadjsalah; J.-L. Ligier Modeling of contact between rough surfaces using homogenisation technique, C. R. Mecanique, Volume 338 (2010) no. 1, pp. 48-61

[12] N. Kikuchi; J.T. Oden Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods, SIAM, 1988 (pp. 307–329)

[13] M. Peigney; C. Stolz An optimal control approach to the analysis of inelastic structures under cyclic loading, J. Mech. Phys. Solids (2003), pp. 575-605

[14] N. Antoni; Q.-S. Nguyen Shakedown theorems in contact mechanics, C. R. Mecanique, Volume 336 (2008), pp. 341-346

Cité par Sources :

Commentaires - Politique


Ces articles pourraient vous intéresser

Cheek tooth erosion in male babirusa (genus Babyrousa)

Alastair A. Macdonald

C. R. Biol (2019)


Analysis of viscoelastic contact with normal compliance, friction and wear diffusion

Meir Shillor; Mircea Sofonea; J.Joachim Telega

C. R. Méca (2003)


Experimental, numerical and analytical studies of abrasive wear: correlation between wear mechanisms and friction coefficient

Salah Mezlini; M. Zidi; H. Arfa; ...

C. R. Méca (2005)