Abstract In the context of “Mechanics of Incremental Deformations”, the circumferential wave characteristics in unidirectional cylindrical curved plates under uniform initial stresses in the radial and axial directions are investigated. The Legendre polynomial series method is used to solve the coupled wave equation. Two different fiber directions, the circumferential direction and the axial direction, are discussed respectively. The effects of the initial stresses on the circumferential Lamb-like waves and on the circumferential SH waves are investigated, respectively. Numerical results show they are quite distinct. Moreover, the effects of the initial stress in the axial direction are very different from those in the radial direction, both on the dispersion curves and on the displacement and stress distributions.
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Received: 12 October 2012
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