Titre :

Two dimensional modeling of elastic wave propagation in solids containing cracks with rough surfaces and friction – Part I: Theoretical background

Auteur(s) :

Aleshin, Vladislav [Auteur]
Laboratoire d'Acoustique de l'Université du Mans [LAUM]
Delrue, Steven [Auteur]
Trifonov, Andrey [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Bou Matar, Olivier [Auteur]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Van Den Abeele, Koen [Auteur]

Titre de la revue :

Ultrasonics

Pagination :

11-18

Éditeur :

Elsevier

Date de publication :

2018-01

ISSN :

0041-624X

Mot(s)-clé(s) en anglais :

Nonlinear acoustics
Internal contacts
Friction
Method of memory diagrams

Discipline(s) HAL :

Physique [physics]/Mécanique [physics]
Physique [physics]/Mécanique [physics]/Acoustique [physics.class-ph]
Physique [physics]/Mécanique [physics]/Mécanique des solides [physics.class-ph]

Résumé en anglais : [en]

AbstractOur study aims at the creation of a numerical toolbox that describes wave propagation in samples containing internal contacts (e.g. cracks, delaminations, debondings, imperfect intergranular joints) ofknown geometry ...
Lire la suite >AbstractOur study aims at the creation of a numerical toolbox that describes wave propagation in samples containing internal contacts (e.g. cracks, delaminations, debondings, imperfect intergranular joints) ofknown geometry with postulated contact interaction laws including friction. The code consists of twoentities: the contact model and the solid mechanics module. Part I of the paper concerns the modelingof internal contacts (called cracks for brevity), while part II is related to the integration of the developedcontact model into a solid mechanics module that allows the description of wave propagation processes.The contact model is used to produce normal and tangential load-displacement relationships, which inturn are used by the solid mechanics module as boundary conditions at the internal contacts. Due to friction, the tangential reaction curve is hysteretic and memory-dependent. In addition, it depends on thenormal reaction curve. An essential feature of the proposed contact model is that it takes into accountthe roughness of the contact faces. On one hand, accounting for roughness makes the contact model morecomplicated since it gives rise to a partial slip regime when some parts on the contact area experience slipand some do not. On the other hand, as we will show, the concept of contact surfaces covered by asperities receding under load makes it possible to formulate a consistent contact model that provides nonlinear load-displacement relationships for any value of the drive displacements and their histories. This is astrong advantage, since this way, the displacement-driven model allows for a simple explicit procedure ofdata exchange with the solid mechanics module, while more traditional flat-surface contacts driven byloads generate a complex iterative procedure. More specifically, the proposed contact model is basedon the previously developed method of memory diagrams that allows one to automatically obtainmemory-dependent solutions to frictional contact problems in the particular case of partial slip. Herewe extend the solution onto cases of total sliding and contact loss which is possible while using thedisplacement-driven formulation. The method requires the knowledge of the normal contact responseobtained in our case as a result of statistical consideration of roughness of contact faces.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Projet Européen :

A Life-cycle Autonomous Modular System for Aircraft Material State Evaluation and Restoring System

Collections :

• Institut d'Électronique, de Microélectronique et de Nanotechnologie (IEMN) - UMR 8520
• Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697

Date de dépôt :

2020-05-15T13:01:10Z