LMA - Laboratoire de Mécanique et d’Acoustique

G. Nika - Design of multi-layer auxetic microstructures using inverse homogenization and a level set method

Amphithéâtre François Canac, LMA

Le 15 novembre 2018 de 13h30 à 14h30

Grigor Nika,
potentiel candidat CR

We consider the micro-architecture of multi-layer material that globally exhibits desired mechanical properties, for instance a negative apparent Poisson ratio. We use inverse homogenization, the level set method, and the shape derivative in the sense of Hadamard to identify material regions and track boundary changes within the context of the smoothed interface. The level set method and the shape derivative obtained in the smoothed interface context allows us to capture, within the unit cell, the optimal micro-geometry. We compute several multi-layer auxetic micro-structures taking into volume constraints for each layer. The multi-layer approach has the added benefit that contact during movement of adjacent "branches" of the micro-structure can be avoided in order to increase its capacity to withstand larger stresses. This is joint work with Andrei Constantinescu.

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