Vol. 3, No. 10, 2008

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ISSN: 1559-3959
Wave propagation in a prestressed compressible elastic layer with constrained boundaries

Anil C. Wijeyewickrema, Yosuke Ushida and Priza Kayestha

Vol. 3 (2008), No. 10, 1963–1976
Abstract

The dynamic motion of a prestressed compressible elastic layer having constrained boundaries is considered. The dispersion relations which relate wave speed and wave number are obtained for both symmetric and antisymmetric motions. Both motions can be considered by formulating the incremental boundary-value problem based on the theory of incremental elastic deformations, and using the propagator matrix technique. The limiting phase speed at the low wave number limit of symmetric and antisymmetric waves is obtained. At the low wave number limit, depending on the prestress, for symmetric motion with slipping boundaries and for antisymmetric motion with vertically unconstrained boundaries, a finite phase speed may exist for the fundamental mode. Numerical results are presented for a Blatz–Ko material. The effects of the constrained boundaries are clearly seen in the dispersion curves.

Keywords
wave propagation, prestress, dispersion curves, nonlinear elasticity
Milestones
Received: 17 July 2008
Accepted: 8 September 2008
Published: 1 December 2008
Authors
Anil C. Wijeyewickrema
Department of Civil Engineering
Tokyo Institute of Technology
M1-19, 2-12-1, O-okayama
Meguro-ku
Tokyo, 152-8552
Japan
http://www.cv.titech.ac.jp/~anil-lab/
Yosuke Ushida
Department of Civil Engineering
Tokyo Institute of Technology
M1-19, 2-12-1, O-okayama
Meguro-ku
Tokyo, 152-8552
Japan
Priza Kayestha
Department of Civil Engineering
Tokyo Institute of Technology
M1-19, 2-12-1, O-okayama
Meguro-ku
Tokyo, 152-8552
Japan