Viscous second gradient porous materials for bones reconstructed with bio-resorbable grafts

Ivan Giorgio (1, 2) , Ugo Andreaus (2) , Francesco Dell 'Isola (2, 1) , Tomasz Lekszycki (1, 3)

1 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
2 UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]
3 Warsaw University of Technology [Warsaw]

It is well known that size effects play an important role in the mechanical behavior of bone tissues at different scales. In this paper we propose a second gradient model for accounting these effects in a visco-poro-elastic material and present some sample applications where bone is coupled with bioresorbable artificial materials of the kind used in reconstructing surgery.

Mots clés: Metamaterials; second gradient materials; porous media; viscous dissipation; bone remodelling

Domaines: Génie mécanique [physics.class-ph]

Ivan Giorgio, Ugo Andreaus, Francesco Dell 'Isola, Tomasz Lekszycki. Viscous second gradient porous materials for bones reconstructed with bio-resorbable grafts. 2016. ⟨hal-01306433v1⟩