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Développement d'algorithmes et d'un code de calcul pour l'étude des problèmes de l'impact et du choc

Abstract : In many problems of solid mechanics, taking into account the frictional contact plays an important role. Good prediction of the results of contact with friction becomes then a prevailing element for the industry. However, few problems can be solved analytically. It is then necessary to develop numerical methods adapted to such issues. In this work, an extension of the bi-potential method, proposed by de Saxcé & Feng, is presented for the modeling of impact problems involving several deformable bodies within large deformations framework.To this purpose, we choose a first order time integrator instead of classical second order integrators (Newmark, HHT, . . .). This choice avoids to take account for the acceleration which is undefined at the impact instant. The model so developed combines the bi-potential method to solve contact problems and a first order scheme for the time integration. This work leads to develop the finite element code FER/Impact. Different numerical applications illustrate clearly the validity and efficiency of the method. A special attention is paid to the quantification of dissipated energy by friction.
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https://tel.archives-ouvertes.fr/tel-00369905
Contributor : Benoit Magnain <>
Submitted on : Monday, March 23, 2009 - 9:32:23 AM
Last modification on : Thursday, July 9, 2020 - 3:10:19 PM
Long-term archiving on: : Friday, October 12, 2012 - 2:06:15 PM

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  • HAL Id : tel-00369905, version 1

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Benoit Magnain. Développement d'algorithmes et d'un code de calcul pour l'étude des problèmes de l'impact et du choc. Mécanique [physics.med-ph]. Université d'Evry-Val d'Essonne, 2006. Français. ⟨tel-00369905⟩

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