A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media. (5th July 2010)

• Record Type: Journal Article
• Authors: Schöpfer, F.; Binder, F.; Wöstehoff, A.; Schuster, T.
• Other Names: Gonçalves Paulo Batista Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2010(2010)
• Publication Date: 2010-07-05
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2010/924504
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.