Geometric localization of waves on thin elastic structures

Date(s)
Thursday 27th February 2025 (15:00-16:00)
Contact
Event Convenor Contact: Martin.Richter@nottingham.ac.uk
Description
Speaker's Name: Manu Mannattil
Speaker's Affiliation: Tel Aviv University
Speaker's Research Theme(s): Applied Mathematics,Wave modelling
Abstract:
We consider the localization of elastic waves in thin elastic structures with spatially varying curvature profiles, using a curved rod and a singly curved shell as concrete examples. Previous studies on related problems have broadly focused on the localization of flexural waves on such structures. Here, using the semiclassical WKB approximation for multicomponent waves, we show that in addition to flexural waves, extensional and shear waves also form localized, bound states around points where the absolute curvature of the structure has a minimum. We also see excellent agreement between our numerical experiments and the semiclassical results, which hinges on the vanishing of two extra phases that arise in the semiclassical quantization rule. Our findings open up novel ways to fine-tune the acoustic and vibrational properties of thin elastic structures and raise the possibility of introducing new phenomena not easily captured by effective models of flexural waves alone. Reference: https://doi.org/10.1103/PhysRevE.109.035001

Venue: online (Teams)
Online Conference Link: https://teams.microsoft.com/l/meetup-join/19%3ameeting_ZjY5NjlmMzYtMDc3OC00ODJkLWJkNTAtMTE2MGQ0YzI3MGE0%40thread.v2/0?context=%7b%22Tid%22%3a%2267bda7ee-fd80-41ef-ac91-358418290a1e%22%2c%22Oid%22%3a%22ac9aefe7-3e46-4f97-97c8-d17f8aef5d78%22%7d

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