Optimal design of functionally graded plates with thermo-elastic plastic behaviour

Ludmila Parashkevova; Jordanka Ivanova; Nikolina Bontcheva

doi:10.1016/j.crme.2004.02.025

Optimal design of functionally graded plates with thermo-elastic plastic behaviour

Presented by: Évariste Sanchez-Palencia

Ludmila Parashkevova ¹; Jordanka Ivanova ¹; Nikolina Bontcheva ¹

¹ Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bontchev St., Bl. 4, 1113 Sofia, Bulgaria

Comptes Rendus. Mécanique, Volume 332 (2004) no. 7, pp. 493-498.

Abstract
Résumé

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.

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.

Received: 2003-12-16
Accepted: 2004-02-25
Published online: 2004-04-30

DOI: 10.1016/j.crme.2004.02.025

Keywords: Computational solid mechanics, Functionally graded materials, Thermal loading, Optimal design
Mots-clés : Mécanique des solides numérique, Matériaux fonctionnellement gradués, Charge thermique, Configuration optimale

Author's affiliations:

Ludmila Parashkevova ¹; Jordanka Ivanova ¹; Nikolina Bontcheva ¹

¹ Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bontchev St., Bl. 4, 1113 Sofia, Bulgaria

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     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},
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     year = {2004},
     doi = {10.1016/j.crme.2004.02.025},
     language = {en},
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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/

References
Cited by

[1] J.N. Reddy A simple heigher order theory for laminated composite plates, J. Appl. Mech. (1984) no. 51, pp. 745-752

[2] N. Noda Thermal stresses in functionally graded materials, Int. J. Soc. Mater. Engrg. Res., Volume 3 (1995) no. 1, pp. 95-114

[3] D.R.J. Owen; Z.H. Li A refined analysis of laminated plate by FE displacement method, Comput. & Structures (1987) no. 26, pp. 907-914

[4] Y. Obata; N. Noda Steady thermal stresses in a hollow circular cylinder and a hollow sphere of functionally gradient material, J. Thermal Stresses, Volume 17 (1994) no. 3, pp. 471-487

[5] G.N. Praveen; J.N. Reddy Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, Int. J. Solids Structures, Volume 35 (1998) no. 33, pp. 4457-4478

[6] J. Aboudi; M.-J. Pindera; S. Arnold Thermo-elastic response of functionally graded composites, Int. J. Solids Srtuctures, Volume 32 (1995), pp. 1675-1710

[7] Srtength of Materials (A.F. Smirnov, ed.), Vysshaia Shkola, Moskva, 1975

[8] R.E. Rowlands Strength theories and their experimental correlation (G.C. Sih; A.M. Skudra, eds.), Failure Mechanics of Composites, Handbook of Composites, vol. 3, Elsevier, 1985 (Chapter 2)

[9] A.A. Ashrabov; Y.V. Zaitzev Fracture Mechanics of Concretes, Ukituvchi, Tbilissi, 1981 (in Russian)

[10] Y. Otao; Y. Tanigawa; O. Ishimaru Optimization of material composition of functionally graded plate for thermal stress relaxation using a genetic algorithm, J. Thermal Stresses, Volume 23 (2000), pp. 257-271

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