Periodic homogenization for Kelvin-Voigt viscoelastic media with a Kelvin-Voigt viscoelastic interphase

Loïc Daridon (1, 2, 3) , Christian Licht (1, 2, 4) , Somsak Orankitjaroen (4) , Stéphane Pagano (1, 2, 3)

1 LMGC - Laboratoire de Mécanique et Génie Civil
2 M3 - Mathématiques et Modélisations en Mécanique
3 MIST - Laboratoire de micromécanique et intégrité des structures
4 Department of Mathematics

We studied the effective behavior of a composite made of a periodic distribution of inclusions linked to a matrix by a very thin layer, with the three components being of linear Kelvin-Voigt viscoelastic type. The effective behavior, derived by a rigorous mathematical homogenization method, is not of Kelvin-Voigt type but instead involves an additional fading memory term. The influence of various parameters of the composite were numerically analyzed through a finite elements method.

Mots clés: Kelvin-Voigt viscoelasticity; Viscoelastic interface; Homogenization

Domaines: Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]

Loïc Daridon, Christian Licht, Somsak Orankitjaroen, Stéphane Pagano. Periodic homogenization for Kelvin-Voigt viscoelastic media with a Kelvin-Voigt viscoelastic interphase. European Journal of Mechanics - A/Solids, 2016, 58, pp.163-171. ⟨10.1016/j.euromechsol.2015.12.007⟩. ⟨hal-01282112⟩