Abstract

The formal solutions to a class of non-axisymmetric problems involving a transversely isotropic elastic plate are derived. The Cagniard-deHoop method of inversion is used to Obtain explicit solutions on the epicentral axis for certain materials, when a point shear load, with a “ramp” time-dependence, is applied to one face of the plate. Also treated is a problem involving plane-strain type motions, namely, the impulsive application of a normal line load to one face of an anisotropic plate, inversion for certain materials again being carried out on the epicentral axis. In both cases a numerical analysis of the solutions is presented.

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