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Thin linearly viscoelastic Kelvin–Voigt plates
Journal article   Open access   Peer reviewed

Thin linearly viscoelastic Kelvin–Voigt plates

Christian Licht
Comptes Rendus. Mécanique, Vol.341(9-10), pp.697 - 700
09/2013

Abstract

Asymptotic modeling Thin viscoelastic plates Kirchhoff–Love kinematics Kelvin–Voigt viscoelasticity Viscoelasticity with fading memory Analyse asymptotique Plaques minces viscoélastiques Déplacements de Kirchhoff–Love Viscoélasticité de Kelvin–Voigt Viscoélasticité à mémoire
A mathematical model for thin viscoelastic Kelvin–Voigt plates is derived through an asymptotic analysis when the thickness goes to zero. The model involves Kirchhoff–Love kinematics, but the mechanical behavior is no longer of Kelvin–Voigt type: an additional term of delayed memory appears like in homogenization.
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