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Theses

Méthode éléments finis étendus en espace et en temps : application à la propagation dynamique des fissures

Abstract : Computational methods have been extensively used in various engineering applications and finite element methods have continued their evolution beyond the linear theory. Nevertheless challenges remain, for example, problems where moving discontinuities are involved remain difficult to solve. In this case, one can use re-meshing techniques to take into account geometrical The aim of the thesis is to discuss the application of the extended finite element method for dynamic propagation of arbitrary cracks. The starting point is the extended finite element method for linear quasi-static crack propagation.changes.Basically, the thesis consists of four parts. The first part is about
estimating the stress intensity factors from discrete mechanical fields. The second part discusses the dynamic analysis with evolving discretisation and the third proposes an application of the partition of the unity concept to the problem in time for an accurate integration of time discontinuities. The fourth part is dedicated to an experimental derivation of the interaction integral method. Stress intensity factors are estimated from displacement field measurements by digital image correlation using the interaction integral during quasi-static experiments.
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https://tel.archives-ouvertes.fr/tel-00121172
Contributor : Julien Réthoré <>
Submitted on : Tuesday, December 19, 2006 - 4:06:24 PM
Last modification on : Wednesday, July 8, 2020 - 12:42:25 PM
Long-term archiving on: : Wednesday, April 7, 2010 - 1:01:37 AM

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  • HAL Id : tel-00121172, version 1

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Julien Réthoré. Méthode éléments finis étendus en espace et en temps : application à la propagation dynamique des fissures. Mécanique [physics.med-ph]. INSA de Lyon, 2005. Français. ⟨tel-00121172⟩

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