title: Extensional edge modes in elastic plates and shells.
abstract: The recently discovered undamped localized mode at the end of an elastic strip is demonstrated to be particularly relevant in the plane stress setting, where it exists for the Poisson ratio 0.29. This paper also emphasizes the difference between low-frequency edge modes, typically characterized by low variation across the plate (or shell) thickness, and high-frequency edge modes, whose natural frequencies are of the order of thickness resonance frequencies.
authors.affiliation: Department of Mathematical Sciences, Brunel University, Uxbridge, United Kingdom. julius.kaplunov@brunel.ac.uk
authors.forename: J
authors.initials: J
authors.lastname: Kaplunov
authors.forename: A V
authors.initials: AV
authors.lastname: Pichugin
authors.forename: V
authors.initials: V
authors.lastname: Zernov
mesh_terms: D004548:Elasticity; D004867:Equipment Design; D008422:Materials Testing / Q000295:instrumentation / Q000379:methods*; D008962:Models, Theoretical; D016012:Poisson Distribution; D014732:Vibration