A Hill-based computational homogenization approach for effective elastic properties of Kelvin open-cell foams

Wenqi Zhu (1) , Nawfal Blal (1) , Salvatore Cunsolo (1) , Dominique Baillis (1) , Paul-Marie Michaud (2)

1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
2 EC2MS - EC2-Modelisation

he aim of this study is to investigate the influences of morphological parameters on the effective elastic properties of Kelvin open-cell foam. To obtain realistic cell structure, a method based on Voronoi partition combined with Surface Evolver is developed with high control of a number of morphological parameters. The periodic computational homogenization approach is used to predict the elastic effective properties. Finally, new generic laws are proposed to approximate the effective elastic properties of Kelvin open-cell foam.

Mots clés: Kelvin open-cell foam; morphology; homogenization; Hill’s lemma; elasticity; generic laws

Domaines: Mécanique des structures [physics.class-ph]

Wenqi Zhu, Nawfal Blal, Salvatore Cunsolo, Dominique Baillis, Paul-Marie Michaud. A Hill-based computational homogenization approach for effective elastic properties of Kelvin open-cell foams. 13e colloque national en calcul des structures, Université Paris-Saclay, May 2017, Giens, Var, France. ⟨hal-01926875⟩