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The propagation of in-plane P-SV waves in a layered elastic plate with periodic interface cracks: exact versus spring boundary conditions

O. V. Kvasha ; Anders Boström (Institutionen för tillämpad mekanik, Dynamik) ; N. V. Glushkova ; E. V. Glushkov
Waves in Random and Complex Media (1745-5030). Vol. 21 (2011), 3, p. 515-528.
[Artikel, refereegranskad vetenskaplig]

The propagation of in-plane (P-SV) waves in a symmetrically three-layered thick plate with a periodic array of interface cracks is investigated. The exact dispersion relation is derived based on an integral equation approach and Floquet's theorem. The interface cracks can be a model for interface damage, but a much simpler model is a recently developed spring boundary condition. This boundary condition is used for the thick plate and also in the derivation of plate equations with the help of power series expansions in the thickness coordinate. For low frequencies (cracks small compared to the wavelength) the three approaches give more or less coinciding dispersion curves, and this is a confirmation that the spring boundary condition is a reasonable approximation at low frequencies.

Nyckelord: anisotropic plate, transmission, reflection, solids, array



Denna post skapades 2012-04-11. Senast ändrad 2016-02-08.
CPL Pubid: 156538

 

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Institutioner (Chalmers)

Institutionen för tillämpad mekanik, Dynamik

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Fysik

Chalmers infrastruktur