Séminaire Orléans

Asymptotic comparison of the strain-gradient and micromorphic models when loading forces are widely spread

by Lukas Jakabcin

Salle de Séminaires (Orléans)

Salle de Séminaires



In this talk we reconciliate different homogenization results which describe the effective behavior of a heterogeneous material either by a strain-gradient model either by a micromorphic one. Indeed we prove that the solutions of both models are asymptotically very close when considering a loading with increasing wavelength. This result is obtained using the Fourier analysis on the tensor spaces and applies to a large class of micromorphic models. However, we provide an example of a micromorphic model that does not belong to this class and thus cannot be approximated by a strain-gradient model. This is a joint work with Pierre Seppecher.