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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
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- Kvasha, O. V. (author)
- Kuban State University
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- Boström, Anders E, 1951 (author)
- Chalmers tekniska högskola,Chalmers University of Technology
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- Glushkova, N. V. (author)
- Kuban State University
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- (creator_code:org_t)
- Informa UK Limited, 2011
- 2011
- English.
- In: Waves in Random and Complex Media. - : Informa UK Limited. - 1745-5030 .- 1745-5049. ; 21:3, s. 515-528
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- array
- reflection
- solids
- anisotropic plate
- transmission
Publication and Content Type
- art (subject category)
- ref (subject category)
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