Agenda de l’IDP

Séminaire Orléans

Asymptotic comparison of the strain-gradient and micromorphic models when loading forces are widely spread
Lukas Jakabcin
Thursday 29 June 2023 14:00 -  Orléans -  Salle de Séminaires

Résumé :

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.

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