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Explicit transfer matrix for an incompressible orthotropic elastic layer and applications - MaRDI portal

Explicit transfer matrix for an incompressible orthotropic elastic layer and applications (Q2044726)

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scientific article; zbMATH DE number 7380395
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Explicit transfer matrix for an incompressible orthotropic elastic layer and applications
scientific article; zbMATH DE number 7380395

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    Explicit transfer matrix for an incompressible orthotropic elastic layer and applications (English)
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    10 August 2021
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    In this paper an explicit transfer matrix for an incompressible orthotropic elastic layer is derived. As an application the authors obtain explicit formulas for the reflection coefficients of SV-waves from an incompressible orthotropic elastic layer. The dispersion equation of Lamb waves propagating in a two-layered incompressible orthotropic plate is studied as well. Necessary and sufficient conditions for the existence of one or two reflected waves are proved. Numerical examples and simulations are presented at the end of the paper.
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    transfer matrix
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    two-layered orthotropic elastic layer
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    SV-wave reflection
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    Lamb wave
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    dispersion equation
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