Transient response of elastic bodies connected by a thin stiff viscoelastic layer with evanescent mass

Abstract : We extend the study [1] devoted to the dynamic response of a structure made up of two linearly elastic bodies connected by a thin soft adhesive layer made of a Kelvin–Voigt-type nonlinear viscoelastic material to the cases of stiff and very stiff adhesives whose mass vanishes. We use a nonlinear extension of Trotter’s theory of convergence of semi-groups of operators acting on variable spaces to identify the asymptotic behavior of the mechan-ical state of the system, when some geometrical and mechanical parameters tend to their natural limits. The models we obtain describe the behavior of a structure consisting of two linearly elastic adherents perfectly bonded to a material deformable flat surface whose behavior is of the same kind as that of the genuine adhesive.
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Submitted on : Tuesday, September 20, 2016 - 10:18:00 AM
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Christian Licht, Somsak Orankitjaroen, Ahmed Ould Khaoua, Thibaut Weller. Transient response of elastic bodies connected by a thin stiff viscoelastic layer with evanescent mass . Comptes Rendus Mécanique, Elsevier Masson, 2016, 344 (10), pp. 736-743. ⟨10.1016/j.crme.2016.07.001 ⟩. ⟨hal-01368829⟩

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