Investigation of the scattering of Lamb waves from a generalized circular cavity by using Poisson/Mindlin plate theories and numerical simulation

Adel Sedaghati, Farhang Honarvar, Morteza Tabatabaeipour, Anthony N Sinclair

Research output: Contribution to journalArticle

Abstract

A mathematical model for the scattering of a symmetric S0 Lamb wave mode from a circular cavity in an isotropic plate is developed that can handle both symmetric and asymmetric single- and double-sided blind holes. The theoretical formulation is based on Mindlin and Poisson plate theories. A finite element model is also utilized to extract the scattering patterns of Lamb waves from various cases of a generalized circular cavity. Two-dimensional FFT analysis is used to determine the transmitted and reflected Lamb wave modes when the incident wave interacts with either symmetric (through-hole and double-sided blind hole) or asymmetric (blind hole and double-sided blind hole) cavities. Results indicate that the remaining thickness of a cavity zone and the type of a cavity are two key parameters in the scattering pattern. For asymmetric cavities, the shape of the scattering pattern of the mode-converted A0 mode does not vary significantly. However, the amplitude of the scattering pattern shows noticeable changes in the out-of-plane component of the displacement. Results obtained from the proposed theory and finite element model are in good agreement with previously published data.
Original languageEnglish
Pages (from-to)152-170
Number of pages19
JournalProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume234
Issue number1
Early online date28 Aug 2019
DOIs
Publication statusPublished - 1 Jan 2020

Keywords

  • Lamb waves
  • circular cavity
  • finite element model
  • scattering pattern

Fingerprint Dive into the research topics of 'Investigation of the scattering of Lamb waves from a generalized circular cavity by using Poisson/Mindlin plate theories and numerical simulation'. Together they form a unique fingerprint.

Cite this