Homogenenized interface model describing defects periodically distributed on a surface

Martin David (1, 2) , Jean-Jacques Marigo (1) , C. Pideri (3)

1 LMS - Laboratoire de mécanique des solides
2 LAMSID - UMR 8193 - Laboratoire de Mécanique des Structures Industrielles Durables
3 ANLA - Laboratoire d'Analyse Non Linéaire Appliquée

We undertake the homogenization of a three-dimensional elastic medium, which contains heterogeneities localized on a surface. These can be either reinforcements, like steel reinforcements in concrete, or defects, like microcracks periodically distributed. We propose a simple model describing the effective behaviour of these heterogeneities. This model, formulated in an energetic framework, com- bines an elastic interface behaviour with that of a membrane. Its interest is discussed through several applications.

See http://hal.archives-ouvertes.fr/docs/00/59/28/84/ANNEX/r_O1H9ABAW.pdf

Mots clés: Homogenization; Separation of scales; Matched asymptotic developments; approches multi-échelles; homogénéisation

Domaines: Mécanique [physics.med-ph]

Martin David, Jean-Jacques Marigo, C. Pideri. Homogenenized interface model describing defects periodically distributed on a surface. 10e colloque national en calcul des structures, May 2011, Giens, France. 8 p. ; Clé USB. ⟨hal-00592884⟩