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Journal of Composite Materials
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Variant Finite Element Applications to Axisymmetric Wave Dispersion Analysis of Cylinders

T. Mazoch

Institute of Materials and Machine Mechanics, Slovak Academy of Sciences, Department of FEM, Branch Martin, Severna 14, SK-03680 Martin, Slovakia

The dispersion of the axisymmetric stress waves propagated in the infinite cylindrical bar and hollow cylinder is studied. A modification for this special case of the author's general semianalytical FE approach, and other-alternative FE approach (for the hollow cylinder only) are suggested. Both approaches are applicable to arbitrary cases of anisotropy. The comparisons of the semianalytical approach with regard to exact solutions in solving the dispersion of torsionless waves propagated in the isotropic bar and the isotropic hollow cylinder show excellent agreements. The approach is demonstrated on the case of the anisotropic material-unidirectional composite boron-epoxy. Due to fiber orientations an orthotropic case and a monoclinic symmetry of the material are considered. Results are demonstrated by first 20 dispersion curves and shapes of the waves for the chosen wave-length. The possibilities (or the properties) of both approaches are demonstrated by the tables and the figures presented.

Key Words: axisymmetric stress waves • dispersion curves • linearly elastic continuum • infinite cylindrical rods and shells • semianalytical and alternative FE approaches • composite boron-epoxy

Journal of Composite Materials, Vol. 33, No. 15, 1390-1409 (1999)
DOI: 10.1177/002199839903301502
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