%0 Journal Article %T Phase Velocities of Three-Dimensional and Axis-Symmetrical Elastic Waves in Isotropic Cylindrical Shell %J International Journal of Theoretical and Mathematical Physics %@ 2167-6852 %D 2012 %I %R 10.5923/j.ijtmp.20120206.04 %X Based on use of Debye¡¯s potentials one can find the direct solution of the problem of definition of the characteristic equations for wave numbers of three-dimensional and axis-symmetrical (flexural and longitudinal) elastic waves in steel and aluminium cylindrical shells of various thickness. %K Phase Velocity %K Debye¡¯s Potential %K Flexural Wave %K Longitudinal Wave %K Three-Dimensional Problem %K Axis-Symmetrical Problem %U http://article.sapub.org/10.5923.j.ijtmp.20120206.04.html