The influence of boundary conditions on dispersion in an elastic plate

DOI10.1016/J.MECHRESCOM.2009.11.008zbMath1272.74327OpenAlexW1969107505MaRDI QIDQ366443

Michael Lutianov, Graham A. Rogerson

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641309001645

zbMATH Keywords

dispersionplatewave

Mathematics Subject Classification ID

Plates (74K20) Linear waves in solid mechanics (74J05)

Related Items (2)

Mechanical analysis on extensional and flexural deformations of a thermo-piezoelectric crystal beam with rectangular cross section ⋮ Long wave motion in layered elastic media

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shear horizontal waves in transversely inhomogeneous plates
• Plane vibrations and radiation of an elastic layer lying on a liquid half-space
• Some asymptotic expansions of the dispersion relation for an incompressible elastic plate
• Some dynamic properties of a pre-stressed, nearly incompressible (rubber-like) elastic layer
• Dispersion of small amplitude waves in a pre-stressed, compressible elastic plate
• Some properties of surface acoustic waves in anisotropic-coated solids, studied by the impedance method
• Long wave asymptotic integration of the governing equations for a pre-stressed incompressible elastic layer with fixed faces
• Elastic waves in anisotropic plates: short-wavelength asymptotics of the dispersion branches \(v_n(k)\)
• General formalism for plane guided waves in transversely inhomogeneous anisotropic plates
• Long-Wave Vibrations of a Nearly Incompressible Isotropic Plate with Fixed Faces
• Extensional Vibrations and Waves in a Circular Disk and a Semi-Infinite Plate
• An asymptotic membrane-like theory for long-wave motion in a pre-stressed elastic plate

This page was built for publication: The influence of boundary conditions on dispersion in an elastic plate