Abstract
An approximate first order theory for elastic wave propagation in unidirectional, filamentary composite materials is developed. Included are stress equations of motion, boundary conditions and constitutive relations. For waves propagating parallel to the fiber orientation in an extended medium, the motion separates into three distinct types: longitudinal, flexural and torsional. All motions are dispersive and sensitive to changes in relative material stiffnesses and geometry. For propagation perpendicular to the fiber orientation, the motion is dispersive and the frequency spectra show stopping bands typical of periodic media.
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