Uniqueness of the surface-wave speed: A proof that is independent of the Stroh formalism  

Oleh:

Mielke, Alexander ; Yibin, B. Fu

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Mathematics and Mechanics of Solids vol. 9 no. 1 (Feb. 2004), page 5-15.
Topik: Stroh formalism; surface waves; elastic half-space; surface impedance matrix
Fulltext: 5MMS91.pdf (950.1KB)

Isi artikel

It is well-known in surface-wave theory that the secular equation for the surface-wave speed v can be written as det M = 0 in terms of the surface impedance matrix M. It has recently been shown by the present authors that M satisfies a simple algebraic Riccati equation. It is shown in the present paper that a purely matrix algebraic analysis of this equation suffices to prove that whenever a surface wave exists it is unique.

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