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Mathematical Problems in Engineering
Volume 2010, Article ID 924504, 17 pages
Research Article

A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media

Fakultät für Maschinenbau, Helmut-Schmidt-Universität, Holstenhofweg 85, 22043 Hamburg, Germany

Received 24 February 2010; Accepted 4 June 2010

Academic Editor: Paulo Batista Gonçalves

Copyright © 2010 F. Schöpfer et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Dispersion curves of elastic guided waves in plates can be efficiently computed by the Strip-Element Method. This method is based on a finite-element discretization in the thickness direction of the plate and leads to an eigenvalue problem relating frequencies to wavenumbers of the wave modes. In this paper we present a rigorous mathematical background of the Strip-Element Method for anisotropic media including a thorough analysis of the corresponding infinite-dimensional eigenvalue problem as well as a proof of the existence of eigenvalues.