General solutions to the mechanical contact ...
Document type :
Communication dans un congrès avec actes
DOI :
Title :
General solutions to the mechanical contact problem
Author(s) :
Aleshin, Vladislav [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
van den Abeele, Koen [Auteur]
Bou Matar Lacaze, Olivier [Auteur]

Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
van den Abeele, Koen [Auteur]
Bou Matar Lacaze, Olivier [Auteur]

Conference title :
XVII International Conference on Nonlinear Elasticity in Materials, ICNEM 2012
City :
Cefalu, Sicily
Country :
Italie
Start date of the conference :
2012-07-01
Book title :
Proceedings of Meetings on Acoustics, 16
Publication date :
2012
HAL domain(s) :
Sciences de l'ingénieur [physics]
English abstract : [en]
A theory for mechanical contact of solids with friction is developed for a wide range of contacting profiles and loadinghistories. The starting point of the approach is the normal load-displacement dependency that can be ...
Show more >A theory for mechanical contact of solids with friction is developed for a wide range of contacting profiles and loadinghistories. The starting point of the approach is the normal load-displacement dependency that can be obtained via analytical solutions for regular e.g. axisymmetric profiles and via modeling for random surface topologies. Then, the Jaegerelastic principle based on similarity of equations for normal and tangential deformation allows us to obtain the tangentialload-displacement relation for simple loading, i.e. for constant normal and tangential actions, and, moreover, to replacerough profiles by equivalent axisymmetric ones. Since in the presence of tangential action a zone of stick and a zone ofslip appear in the contact area, the problem becomes memory dependent. An original general scheme of memory organization called memory diagram is presented. Evolutions of memory diagrams are governed by a special set of rules; thesolution for a given memory diagram is purely analytical, although sometimes implicit. The range of applications cancover the contact acoustical nonlinearity, solids with cracks and geomaterials, vibrations of objects with partial contact,etcShow less >
Show more >A theory for mechanical contact of solids with friction is developed for a wide range of contacting profiles and loadinghistories. The starting point of the approach is the normal load-displacement dependency that can be obtained via analytical solutions for regular e.g. axisymmetric profiles and via modeling for random surface topologies. Then, the Jaegerelastic principle based on similarity of equations for normal and tangential deformation allows us to obtain the tangentialload-displacement relation for simple loading, i.e. for constant normal and tangential actions, and, moreover, to replacerough profiles by equivalent axisymmetric ones. Since in the presence of tangential action a zone of stick and a zone ofslip appear in the contact area, the problem becomes memory dependent. An original general scheme of memory organization called memory diagram is presented. Evolutions of memory diagrams are governed by a special set of rules; thesolution for a given memory diagram is purely analytical, although sometimes implicit. The range of applications cancover the contact acoustical nonlinearity, solids with cracks and geomaterials, vibrations of objects with partial contact,etcShow less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Non spécifiée
Popular science :
Non
Source :
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