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Rayleigh lamb waves in micropolar isotropic elastic plate

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Abstract

The propagation of waves in a homogeneous isotropic micropolar elastic cylindrical plate subjected to stress free conditions is investigated. The secular equations for symmetric and skew symmetric wave mode propagation are derived. At short wave limit, the secular equations for symmetric and skew symmetric waves in a stress free circular plate reduces to Rayleigh surface wave frequency equation. Thin plate results are also obtained. The amplitudes of displacements and microrotation components are obtained and depicted graphically. Some special cases are also deduced from the present investigations. The secular equations for symmetric and skew symmetric modes are also presented graphically.

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Correspondence to Rajneesh Kumar.

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Communicated by DAI Tian-min, Original Member of Editorial Committee, AMM

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Kumar, R., Partap, G. Rayleigh lamb waves in micropolar isotropic elastic plate. Appl Math Mech 27, 1049–1059 (2006). https://doi.org/10.1007/s10483-006-0805-z

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  • DOI: https://doi.org/10.1007/s10483-006-0805-z

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