Séminaire de la SFR MODMAD

Grigor NIKA : "Design of multi-layer auxetic microstructures using inverse homogenization and a level set method"

Séminaire de la SFR MODMAD

Le 20 juin 2018

Speaker : Grigor NIKA, Ecole Polytechnique Palaiseau

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

Abstract : 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.