A rigorous analytical solution for the title problem is presented here using the method of superposition. The derivation of tedious Levy-type solutions, commonly used in such an approach, is obviated by the ingenious use of their infinite series counterparts, which are summed without truncation so as to retain accuracy. The methodology is fast convergent and yields accurate results without excessive computation. Tabulated results are presented for two cross-ply plates for future comparisons.
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