Computational homogenization of structures and materials

Marc Geers (1) , Varvara Kouznetsova (1, 2) , Thierry Massart (3) , Izzet Özdemir (1) , Erica Coenen (1, 2) , Marcel Brekelmans (1) , Ron Peerlings (1)

1 Department of Mechanical Engineering [Eindhoven]
2 Materials Innovation Institute
3 ULB - Université libre de Bruxelles

This presentation briefly focuses on some recent trends and development in the past years on computational homogenization techniques and its applications. Within this context, several topics are addressed: (1) first-order computational homogenization: historical overview; (2) second-order computational homogenization: how to incorporate the size of the underlying microstructure; (3) continuous-discontinuous multi-scale approach for localization problems; (4) multi-physics and coupled problems: heat conduction & thermo-mechanically coupled problems; (5) thin structures, shells and beams with a complex through-thickness architecture; (6) computational homogenization towards cohesive zones.

Mots clés: homogenization; multi-scale; coarse graining; strain gradients; localization; shells; heat conduction

Domaines: Mécanique [physics.med-ph]

Marc Geers, Varvara Kouznetsova, Thierry Massart, Izzet Özdemir, Erica Coenen, et al.. Computational homogenization of structures and materials. 9e colloque national en calcul des structures, CSMA, May 2009, Giens, France. ⟨hal-01419916⟩