Geodesic
Wave propagation in fibre-reinforced cylinders
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 1, pp. 58-62

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Non-stationary wave propagation in cylindrical composite shell is considered. The shell consists of isotropic matrix reinforced by two families of symmetrically wound spiral fibres. These families have the same mechanical properties and the cylinder is considered to be incompressible. Solutions of coupled equations of motion are represented in the form of Frobenius power series. Approximate dispersion relation derived is analyzed numerically for different shell thicknesses and fibre winding angles. 
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     author = {R. R. Mukhomodyarov and Ya. A. Parfenova},
     title = {Wave propagation in fibre-reinforced cylinders},
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R. R. Mukhomodyarov; Ya. A. Parfenova. Wave propagation in fibre-reinforced cylinders. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 1, pp. 58-62. http://geodesic.mathdoc.fr/item/ISU_2010_10_1_a9/