Composite wave models for elastic plates
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, vol.474, no.2214, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 474 Issue: 2214
- Publication Date: 2018
- Doi Number: 10.1098/rspa.2018.0103
- Journal Name: PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: elastic plate, composite, asymptotic, Rayleigh wave, hyperbolic equation, HALF-SPACE, PROPAGATION, SURFACE, MEDIA
- Open Archive Collection: AVESIS Open Access Collection
- Anadolu University Affiliated: Yes
Abstract
The long-term challenge of formulating an asymptotically motivated wave theory for elastic plates is addressed. Composite two-dimensional models merging the leading or higher-order parabolic equations for plate bending and the hyperbolic equation for the Rayleigh surface wave are constructed. Analysis of numerical examples shows that the proposed approach is robust not only at low- and high-frequency limits but also over the intermediate frequency range