Abstract
A wave function expansion method has been used to solve the problem of reflection of time-harmonic plane strain waves normally incident upon the free edge of a semi-infinite, laminated ortholropic plate of linearly elastic materials. Both symmetric and antisymmeric incident waves have been considered. The exact dispersion relation of the laminated infinite plate is solved numerically by using Muller's method, with initial guesses obtained through an approximate technique. Propagator matrices arc employed to obtain wave functions. It is illustrated that the leastsquares method yields anomalous results. Numerical results using the variational method are presented for a single-layered graphite/epoxy (transversely isotropic) plate and for a 35-layer crossply (90°/0°/…/90°/0°/90°/…/0°/90°). laminated composite graphite/epoxy plate. In each case, the division of energy among various reflected modes is determined. The end resonance for the single layer graphite/epoxy plate is also reported.
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