Recent Advances in Material Homogenization

Hajer Lamari (1) , Amine Ammar (2) , Patrice Cartraud (1) , Francisco Chinesta (1) , Frédéric Jacquemin (1) , Grégory Legrain (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 LAMPA - Laboratoire Angevin de Mécanique, Procédés et InnovAtion

Heterogeneous materials involve different length scales in their mechanical properties. Obviously a mechanical description taking into account all the microscopic details is impossible from a computational point of view except for parts of very small dimensions. The main aim of material homogenization is defining macroscopic homogeneous properties able to represent at the macroscopic scale the real material and allowing for ignoring the microscopic scale in the numerical representation.

Mots clés: Homogenization; Model reduction; Separated representations; Proper Generalized Decompositions; Parametric models

Domaines: Mécanique [physics.med-ph]; Matériaux

Hajer Lamari, Amine Ammar, Patrice Cartraud, Francisco Chinesta, Frédéric Jacquemin, et al.. Recent Advances in Material Homogenization. 13th ESAFORM Conference on Material Forming, 2010, Brechia, Italy. ⟨10.1007/s12289-010-0913-y⟩. ⟨hal-01008739⟩