Dynamics of elastic bodies connected by a thin soft inelastic layer

Christian Licht (1) , Somsak Orankitjaroen (2)

1 M3 - Modélisation Mathématique en Mécanique
2 Department of Mathematics

We extend the study [1] devoted to the dynamic response of a structure made of two linearly elastic bodies connected by a thin soft adhesive layer made of a Kelvin Voigt type nonlinear viscoelastic material to the case of a Generalized Standard Material with a positive definite quadratic density of free energy. A concise formulation in terms of an evolution equation in a Hilbert space of possible states with finite energy makes it possible to identify the asymptotic behavior, when some geometrical and mechanical parameters tend to their natural limits, like the response of the two bodies connected by a mechanical constraint. Its law has the same structure as that of the adhesive but with coefficients accounting for the relative behavior of the parameters.

Mots clés: Bonding problem; Generalized Standard Material; Dynamics; Maximal Monotone Operators

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

Christian Licht, Somsak Orankitjaroen. Dynamics of elastic bodies connected by a thin soft inelastic layer. Comptes Rendus Mécanique, 2013, 337, pp.166-172. ⟨10.1016/j.crme.2013.01.001⟩. ⟨hal-00799630⟩