On a Computational Strategy with Time-Space Homogenization for Heterogeneous Materials

Anthony Nouy (1) , Pierre Ladevèze (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 and present some drawbacks. It is an iterative strategy which calls for the resolution of problems on both a micro (fine) scale and a macro (homogenized) scale. Here, we review the bases of this approach and present improved approximation techniques to solve the micro and macro problems.

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

Anthony Nouy, Pierre Ladevèze. On a Computational Strategy with Time-Space Homogenization for Heterogeneous Materials. Journal of the Mechanical Behavior of Materials, 2009, 19 (2-3), pp.115-124. ⟨10.1515/JMBM.2009.19.2-3.151⟩. ⟨hal-02163502⟩