Cet article présente une solution alternative aux méthodes classiques (comme la méthode incrémentale) de résolution de problèmes thermomécaniques cycliques non-linéaires. Il s'agit d'une Méthode Cyclique Directe qui consiste à rechercher directement la solution asymptotique d'une structure anélastique soumise à un chargement thermomécanique périodique, sans suivre l'histoire du chargement. Elle est fondée sur le Grand Incrément de Temps et la périodicité de l'état limite et la transformation de Fourier.
A method for the solution of cyclic thermomechanical nonlinear problems is presented: it is a Direct Cyclic Method which is an alternative approach to classical methods. It consists in directly seeking the asymptotic response of an inelastic structure subjected to a periodic thermomechanical loading without following the loading path. It is based on the Large Time Increment Method, the periodicity of the limit state and the Fourier transform.
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Keywords: solids and structures, limit cycle, thermomechanics, numerical method
M.Habibou Maitournam 1 ; Benjamin Pommier 1, 2 ; Jean-Jacques Thomas 2
@article{CRMECA_2002__330_10_703_0,
author = {M.Habibou Maitournam and Benjamin Pommier and Jean-Jacques Thomas},
title = {D\'etermination de la r\'eponse asymptotique d'une structure an\'elastique sous chargement thermom\'ecanique cyclique},
journal = {Comptes Rendus. M\'ecanique},
pages = {703--708},
publisher = {Elsevier},
volume = {330},
number = {10},
year = {2002},
doi = {10.1016/S1631-0721(02)01516-4},
language = {fr},
}
TY - JOUR AU - M.Habibou Maitournam AU - Benjamin Pommier AU - Jean-Jacques Thomas TI - Détermination de la réponse asymptotique d'une structure anélastique sous chargement thermomécanique cyclique JO - Comptes Rendus. Mécanique PY - 2002 SP - 703 EP - 708 VL - 330 IS - 10 PB - Elsevier DO - 10.1016/S1631-0721(02)01516-4 LA - fr ID - CRMECA_2002__330_10_703_0 ER -
%0 Journal Article %A M.Habibou Maitournam %A Benjamin Pommier %A Jean-Jacques Thomas %T Détermination de la réponse asymptotique d'une structure anélastique sous chargement thermomécanique cyclique %J Comptes Rendus. Mécanique %D 2002 %P 703-708 %V 330 %N 10 %I Elsevier %R 10.1016/S1631-0721(02)01516-4 %G fr %F CRMECA_2002__330_10_703_0
M.Habibou Maitournam; Benjamin Pommier; Jean-Jacques Thomas. Détermination de la réponse asymptotique d'une structure anélastique sous chargement thermomécanique cyclique. Comptes Rendus. Mécanique, Volume 330 (2002) no. 10, pp. 703-708. doi : 10.1016/S1631-0721(02)01516-4. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01516-4/
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