“Metamaterial design: a challenge in mathematical physics and engineering sciences”
Tuesday, November 12, 2019, 11:30 - Room 2AB45 - Francesco Dell'Isola (Roma Sapienza)
Abstract
The novel demands from the science of materials require the conception of materials showing exotic behaviour. In the theory of metamaterials one specifies the mechanical properties of a given material or structure by assigning the action functional which governs it and then he looks for the specific mechanical system whose behaviour is exactly the desired one. We talk about the “synthesis” of a specific metamaterial. In some situations homogenisation techniques are needed and the required material is synthesised at a certain length scale by using some smaller scale microstructures. In this context the theory of higher gradient continua needs to be introduced. In this presentation we refer some results recently obtained in the problem of synthesis of second gradient materials, of extremely extensible microstructures and of structures being damage resistant. The synthesis problem is solved by introducing so called “pantographic” structures.
