The paper studies the well posedness of the initial boundary value problem related to the evolution of an elastic beam interacting with a substrate through an elastic-breakable forcing term. This discontinuous interaction is aimed to model the phenomenon of attachement-detachement of the material during adhesion phenomena. The existence of solutions in energy space and various counterexamples to uniqueness are detailed and suitable numerical simulations are provided.
Waves in flexural beams with nonlinear adhesive interaction / Coclite, G. M.; Devillanova, G.; Maddalena, F.. - In: MILAN JOURNAL OF MATHEMATICS. - ISSN 1424-9286. - STAMPA. - 89:(2021), pp. 329-344. [10.1007/s00032-021-00338-7]
Waves in flexural beams with nonlinear adhesive interaction
G. M. COCLITE
;G. DEVILLANOVA;F. MADDALENA
2021-01-01
Abstract
The paper studies the well posedness of the initial boundary value problem related to the evolution of an elastic beam interacting with a substrate through an elastic-breakable forcing term. This discontinuous interaction is aimed to model the phenomenon of attachement-detachement of the material during adhesion phenomena. The existence of solutions in energy space and various counterexamples to uniqueness are detailed and suitable numerical simulations are provided.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
