G. M. Coclite, G. Fanizza, F. Maddalena

Abstract
In this paper we study some key effects of a discontinuous forcing term in a fourth order wave equation on a bounded domain, modeling the adhesion of an elastic beam with a substrate through an elastic-breakable interaction. By using a spectral decomposition method we show that the main effects induced by the nonlinearity at the transition from attached to detached states can be traced in a loss of regularity of the solution and in a migration of the total energy through the scales.

Keywords
Adhesion Elasticity Beam equation Regularity Spectral analysis Scale transition

Applied Mathematics Letters
Volume 115
2021 May

>> DOI