On a Multiscale Computational Strategy with Time and Space Homogenization for Structural Mechanics

Pierre Ladevèze (1) , Anthony Nouy (1)

1 LMT - Laboratoire de Mécanique et Technologie

A new multiscale computational strategy was recently proposed for the analysis of structures described both on a fine space scale and a fine time scale. This strategy, which involves homogenization in space as well as in time, could replace in several domains of application the standard homogenization techniques, which are generally limited to the space domain. It is an iterative strategy which calls for the resolution of problems on both a micro (fine) scale and a macro (homogenized) scale. In this paper, we review the bases of this approach and present improved approximation techniques to solve the micro and macro problems.

Mots clés: Homogenization; Multiscale; Domain decomposition

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

Pierre Ladevèze, Anthony Nouy. On a Multiscale Computational Strategy with Time and Space Homogenization for Structural Mechanics. Computer Methods in Applied Mechanics and Engineering, 2003, 192 (28-30), pp.3061-3087. ⟨10.1016/S0045-7825(03)00341-4⟩. ⟨hal-00366648⟩