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Systematic derivation of one-dimensional strain-gradient models for non-linear elastic structures

le 28 mars 2019
à 13h30

Basile Audoly, directeur de recherche au laboratoire LMS (École Polytechnique/CNRS/École des Mines), interviendra lors du séminaire.

We present a general method for deriving one-dimensional models for non-linear structures, that capture the strain energy associated not only with the macroscopic strain as in traditional structural models, but also with the strain gradient. The method is based on a two-scale expansion, and is asymptotically exact. It is applied to various types of non-linear structures featuring localization, such as a soft elastic beam that necks in the presence of surface tension, or a tape spring that snaps. In contrast to traditional models, the one-dimensional models obtained in this way can account for significant and non-uniform deformations of the cross-sections, and can therefore capture localization phenomena accurately.

Work in collaboration with Claire Lestringant (ETH, Switzerland).

Type :
Séminaires - conférences
Lieu(x) :
Campus de Cachan
Bâtiment Léonard de Vinci
Amphi E-Media

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