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Contribution à la modélisation mécanique et numérique des problèmes de contact-impact.

Abstract : This work deals with the mechanical and numerical modelling of contact-impact problems between deformable solids in a large transformation framework. It includes three parts. In the first one, we develop an original lagrangian formulation (we call stabilized) for contact problems. It permits to i) generalize both classical and augmented lagrangian formulations, ii) clarify the interest of the so called augmented parameter and iii) unify numerical implementations. The second part focuses on impact problems. We propose a continuous hybrid weak-strong formulation derived from a new writing of the Signorini-Moreau model in terms of equations through the use of two unknown level-set fields. This formulation is extended to frictional contact-impact problems. The discretisations of the continuous formulation is done by the use of a Θ-time scheme and both finite element and collocation methods for space discretisation. The last part is devoted to some multi-scale aspects of contact-impact problems. Particularly, we propose a new multi-level interface model that permits to take into account both local and global behaviours of contact interfaces. Besides, we use the Arlequin framework to compute multi-scale contact-impact problems. This method offers the possibility to zoom impacted zones with a great flexibility and to mix different models and schemes in the same impacted structures. The potential of the proposed ideas are illustrated by numerical results developed in Code_Aster.
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Contributor : Chokri Zammali <>
Submitted on : Friday, November 9, 2007 - 5:32:37 PM
Last modification on : Wednesday, July 8, 2020 - 11:10:20 AM
Long-term archiving on: : Monday, April 12, 2010 - 1:46:27 AM


  • HAL Id : tel-00186569, version 1



Chokri Zammali. Contribution à la modélisation mécanique et numérique des problèmes de contact-impact.. Mécanique []. Ecole Centrale Paris, 2005. Français. ⟨tel-00186569⟩



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