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2D mechanical metamaterials synthesized by topology optimization in the different symmetry classes

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to recourse to topology optimization method to synthesize mechanical matematerials, based on the topologial derivative. Material symmetries play a major role in the very definition and expression of the homogenized properties; the search of optimal microstructures is done in given symmetry classes characterized by invariants of the homogenized moduli. We synthesize thanks to this methodology periodic microstructures prone to auxetic and anti-auxetic behaviors, or with a very large or small bulk to shear modulus ratio.
Rocznik
Strony
109--140
Opis fizyczny
Bibliogr. 51 poz., rys.
Twórcy
autor
  • LEM3, Université de Lorraine, CNRS. Arts et Métiers Paris Tech. 7, rue Félix Savart, 57073, Metz, France
  • Institute of Mathematics of the Czech Academy of Sciences Žitná 25, 115 67 Praha 1, Czech Republic
  • LEM3, Université de Lorraine, CNRS. Arts et Métiers Paris Tech. 7, rue Félix Savart, 57073, Metz, France
Bibliografia
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  • Calisti, V. (2021) Synthése de microstructures par optimisation topologique, et optimisation de forme dún problème d’interaction fluide-structure. PhD thesis, Université de Lorraine.
  • Calisti, V., Lebée, A., Novotny, A.A. and Sokolowski, J. (2023) Emergence of elastostatic strainradient effects from topological optimization. European Journal of Mechanics-A/Solids, 100 104979.
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  • Ganghoffer, J.F., Goda, I., Novotny, A.A., Rahouadj, R. and Sokolowski, J. (2018) Homogenized couple stress model of optimal auxetic microstructures computed by topology optimization. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 98(5) 696–717.
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  • Giusti, S.M., Novotny, A.A., de Souza Neto, E.A. and Feijóo, R.A. (2009) Sensitivity of the macroscopic elasticity tensor to topological microstructural changes. Journal of the Mechanics and Physics of Solids, 57(3) 555–570.
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Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-b58942da-b68f-4d05-985b-2dcb8bb26fbe
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