4.7 Article

A robust method for surface wave dispersion in anisotropic semi-infinite periodically layered structures with coating layers

Journal

COMPUTATIONAL MECHANICS
Volume 67, Issue 5, Pages 1409-1430

Publisher

SPRINGER
DOI: 10.1007/s00466-021-01995-6

Keywords

Surface waves; Dispersion curves; Semi-infinite periodically layered structure; Coating layers; Wittrick-Williams algorithm

Funding

  1. Natural Science Foundation of China [11972107, 91748203]
  2. Fundamental Research Funds for the Central Universities [DUT2019TD37]

Ask authors/readers for more resources

This study introduces a robust method for accurately computing dispersion curves of surface waves in an anisotropic semi-infinite periodically layered structure, utilizing properties of the symplectic transfer matrix, Wittrick-Williams algorithm, and precise integration method. The approach is efficient, accurate, and numerically stable, applicable to a wide range of surface wave problems with various anisotropic materials and layer configurations.
This study presents a robust method towards the computation of dispersion curves of surface waves in an anisotropic semi-infinite periodically layered structure (PLS) coated by a stack of layers. Using the properties of the symplectic transfer matrix to analyze the relationship between the eigenequations of surface waves in a semi-infinite PLS and of its corresponding finite PLS, the eigenfrequencies within the stopbands for surface waves in a semi-infinite PLS are solved by a finite PLS consisting of a sufficient number of unit cells. The eigenvalues of a finite PLS are calculated by combining the precise integration method with the Wittrick-Williams (W-W) algorithm, which makes the present method accurate, efficient and numerically stable. On this basis, using the concept of the eigenvalue count in the W-W algorithm, the eigenfrequencies of surface waves in a semi-infinite PLS coated by a stack of layers are accurately computed for any given wavenumber. Unlike most existing approaches that determine dispersion curves by directly seeking roots from the transcendental eigenequation, the present method takes full advantages of the eigenvalue count to find all eigenfrequencies without the possibility of any being missed. The method can be applicable for surface wave problems in an arbitrarily anisotropic semi-infinite PLS and does not restrict layer number, layer thickness and material properties.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available