|Reference : Multi-scale computational homogenization analysis of foams with micro-buckling|
|Scientific congresses and symposiums : Unpublished conference|
|Engineering, computing & technology : Aerospace & aeronautics engineering|
Engineering, computing & technology : Mechanical engineering
Engineering, computing & technology : Materials science & engineering
|Multi-scale computational homogenization analysis of foams with micro-buckling|
|Nguyen, Van Dung [Université de Liège - ULg > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]|
|Noels, Ludovic [Université de Liège - ULg > Département d'aérospatiale et mécanique > Computational & Multiscale Mechanics of Materials (CM3) >]|
|10th World Congress on Computational Mechanics (WCCM 2012)|
|from 8 July 2012 to 13 July 2012|
|University of Sao Paulo|
|[en] Second order multiscale computational ; Buckling ; Discontinuous Galerkin method|
|[en] When studying the behavior of foams by multi-scale computational homogenization procedure,
the micro-buckling may occur at the cell walls and edges and reduces the effective stiffness of the
structures at macro-scale. This instability can be enhanced by plastic deformation at micro-scale.
At sufficiently large value of macro-strain, even if the micro-tangent moduli of micro-material is
still elliptic, the homogenized tangent moduli at macro-scale can lose its ellipticity that implies
the localization occurs at macro-scale. When localization occurs, the characteristic size of macro-
scopic deformation is the same order of the microscopic size. The assumption of material action in
standard multi-scale computational homogenization approach where the stress only depends on the
strain at this point is no-longer suitable. And the material behavior at given point depends also on
the neighborhood of this point. To cover this problem, the second-order multi-scale computational
homogenization is suitably used. At macroscopic problem, the high-order stress and the high-order
strain are enhanced to the standard formulation by using the Discontinuous-Galerkin formulation
while at the micro-scale, the standard continuum formulation is still used. By this procedure, the
influence of micro-buckling of foams on structural behaviour is studied.
|Computational & Multiscale Mechanics of Materials|
|Les recherches ont été financ´ees grâce `a la subvention ”Actions de recherche concertées ARC 09/14-02 BRIDGING - From imaging to geometrical modelling of complex micro structured materials: Bridging computational engineering and material science” de la Direction générale de l’Enseignement non obligatoire de la Recherche scientifique, Direction de la Recherche scientifique, Communauté française de Belgique, et octroyées par l’Académie Universitaire Wallonie-Europe|
|Actions de recherche concertes ARC 09/14-02 BRIDGING - From imaging to geometrical modelling of complex micro structured materials: Bridging computational engineering and material science|
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