[Configuration optimale des plaques fonctionnellement graduées à plasticité thermo-élastique]
Nous avons étudié le comportement plastique thermo-élastique des plaques fonctionnellement graduées soumises à une charge thermique extrême, avec différentes conditions aux limites. Les plaques étaient contenaient deux parties distinctes : la céramique ZrO2 et un alliage Ti6Al4V, avec une distribution des couches suivant une loi exponentielle. Les propriétés mécaniques et thermiques de ces deux matériaux dépendent fortement de la température. Le comportement tension–élongation est étudié avec la méthode d'éléments finis (MEF). Pour trouver les états stables ou instables de la structure en question, on applique quelques critères d'échec. Deux fonctions sont introduites pour optimiser la configuration de la plaque. Les résultats principaux sont discutés et illustrés par les graphiques.
The thermo-elastic plastic behaviour of functionally graded plates under extremal thermal loading at different boundary conditions is considered. The plates consist of two phases – ZrO2 ceramics and Ti6Al4V alloy. The layers are distributed exponentially through the thickness. The mechanical and thermal properties of both materials strongly depend on temperature. The stress–strain behaviour is investigated by the FEM. To predict the stable state of the structures of interest, several failure criteria are applied. Two cost functions are introduced to optimize the design of the plate. The main results are discussed and graphically illustrated.
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Mots-clés : Mécanique des solides numérique, Matériaux fonctionnellement gradués, Charge thermique, Configuration optimale
Ludmila Parashkevova 1 ; Jordanka Ivanova 1 ; Nikolina Bontcheva 1
@article{CRMECA_2004__332_7_493_0, author = {Ludmila Parashkevova and Jordanka Ivanova and Nikolina Bontcheva}, title = {Optimal design of functionally graded plates with thermo-elastic plastic behaviour}, journal = {Comptes Rendus. M\'ecanique}, pages = {493--498}, publisher = {Elsevier}, volume = {332}, number = {7}, year = {2004}, doi = {10.1016/j.crme.2004.02.025}, language = {en}, }
TY - JOUR AU - Ludmila Parashkevova AU - Jordanka Ivanova AU - Nikolina Bontcheva TI - Optimal design of functionally graded plates with thermo-elastic plastic behaviour JO - Comptes Rendus. Mécanique PY - 2004 SP - 493 EP - 498 VL - 332 IS - 7 PB - Elsevier DO - 10.1016/j.crme.2004.02.025 LA - en ID - CRMECA_2004__332_7_493_0 ER -
%0 Journal Article %A Ludmila Parashkevova %A Jordanka Ivanova %A Nikolina Bontcheva %T Optimal design of functionally graded plates with thermo-elastic plastic behaviour %J Comptes Rendus. Mécanique %D 2004 %P 493-498 %V 332 %N 7 %I Elsevier %R 10.1016/j.crme.2004.02.025 %G en %F CRMECA_2004__332_7_493_0
Ludmila Parashkevova; Jordanka Ivanova; Nikolina Bontcheva. Optimal design of functionally graded plates with thermo-elastic plastic behaviour. Comptes Rendus. Mécanique, Volume 332 (2004) no. 7, pp. 493-498. doi : 10.1016/j.crme.2004.02.025. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.02.025/
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