Abstract
The problem of the wave interaction between a linear viscoelastic medium and a thin cylindrical shell imbedded within it is solved for the case of a uniform harmonic stress input applied to the shell. The medium is characterized by the complex modulus representation for the shear modulus and is regarded as being elastic in bulk. The close agreement of this representation with experimental evidence for high polymers renders its use for this class of problems more desirable than the two- or three parameter mechanical models. Exact solutions for the displacement and stress response of the shell and medium are obtained. The results indicate that the nearfield response is approximately inversely proportional to the radial distance and is insensitive to frequency at low frequencies, but increases at high frequencies. The far field amplitude in creases with frequency and, in addition to the inverse-square-root variation with radial distance, characteristic of elastic media, it contains a strong exponential decay.
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