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

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  • F. Schöpfer
  • F. Binder
  • A. Wöstehoff
  • T. Schuster

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.

Suggested Citation

  • F. Schöpfer & F. Binder & A. Wöstehoff & T. Schuster, 2010. "A Mathematical Analysis of the Strip-Element Method for the Computation of Dispersion Curves of Guided Waves in Anisotropic Layered Media," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-17, July.
    • Handle: RePEc:hin:jnlmpe:924504
    DOI: 10.1155/2010/924504
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