Abstract

An N-dimensional anisotropic elastic body without the interior gravity is, under some conditions concerning the Nth dimension, equivalent to an (N−1)-dimensional isotropic elastic body under the influence of the interior gravity. According to this theorem, our method of solving the equation of free motion of anisotropic elastic bodies includes Bromwich’s method of solving the equation of motion of incompressible isotropic elastic bodies under the influence of the interior gravity.

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