Abstract
The theory of generalized functions is used to obtain dynamic analogues of Somigliana's formula for the unsteady dynamics of linear elastic homogeneous anisotropic media. Regular integral representations of these analogues are constructed for the solutions of boundary-value problems of the theory of elasticity with homogeneous initial data. Analytic formulae are proposed for the kernels of the integral equations in the case of plane strain for orthotropic media.
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