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Wave Propagation in a Transversely Isotropic Thermoelastic Solid Cylinder of Arbitrary Cross-Section

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Abstract

The wave propagation in an infinite, homogeneous, transversely isotropic solid cylinder of arbitrary cross-section is studied using Fourier expansion collocation method, within the frame work of linearized, three-dimensional theory of thermoelasticity. Three displacement potential functions are introduced, to uncouple the equations of motion and the heat conduction. The frequency equations are obtained for longitudinal and flexural (symmetric and antisymmetric) modes of vibration and are studied numerically for elliptic and parabolic cross-sectional zinc cylinders. The computed non-dimensional wave numbers are presented in the form of dispersion curves.

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Authors and Affiliations

  1. Department of Mathematics, Govt. Arts College (Autonomous), 641 018, Coimbatore, Tamil Nadu, India

    P. Ponnusamy & M. Rajagopal

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  1. P. Ponnusamy
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  2. M. Rajagopal
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Correspondence to P. Ponnusamy.

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Ponnusamy, P., Rajagopal, M. Wave Propagation in a Transversely Isotropic Thermoelastic Solid Cylinder of Arbitrary Cross-Section. Acta Mech. Solida Sin. 24, 527–538 (2011). https://doi.org/10.1016/S0894-9166(11)60053-0

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  • DOI: https://doi.org/10.1016/S0894-9166(11)60053-0

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