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Wave propagation in an asymmetric fibre-reinforced laminated plate. II - MaRDI portal

Wave propagation in an asymmetric fibre-reinforced laminated plate. II (Q1095704)

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scientific article; zbMATH DE number 4029004
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English
Wave propagation in an asymmetric fibre-reinforced laminated plate. II
scientific article; zbMATH DE number 4029004

    Statements

    Wave propagation in an asymmetric fibre-reinforced laminated plate. II (English)
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    1988
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    [For part I see the author, ibid. 64, 187-206 (1986; Zbl 0608.73033).] The propagation of waves in a two-ply laminated plate is examined. Each lamina is composed of the same transversely isotropic, homogeneous, elastic material with the direction of transverse isotropy lying in the plane of the lamina. The two laminae are perfectly bonded to each other in such a way that their respective axes of transverse isotropy are orthogonal. The dispersion equation is derived for waves propagating at an arbitrary angle in the plane of the plate. The long and short wavelength behaviour is examined analytically and subsequently the equation is solved numerically. Results are plotted for the fundamental mode and first two harmonics. In order to gain further understanding of these dispersion curves in certain regions, the stress variation through the plate is examined. The corresponding dispersion curves are obtained for the ideal material which is assumed to be inextensible in the direction of transverse isotropy.
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    uniform finite thickness
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    infinite lateral extent
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    harmonic waves
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    two- ply laminated plate
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    transversely isotropic, homogeneous, elastic material
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    perfectly bonded
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    dispersion equation
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    long and short wavelength behaviour
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    fundamental mode
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    first two harmonics
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    stress variation
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