Spectral decomposition of Green's tensor of the dynamic problem of the theory of elasticity in cylindrical coordinates
Formulae are obtained for Green's function of the dynamic problem of the theory of elasticity in an unbounded isotropic medium describing, in cylindrical coordinates \(R\), \(\varphi\) and \(z\), the Fourier transforms of this function in \(t\), and in coordinates \(\varphi\) and \(z\). A special case of the spectral components of the field of displacement rates of the points of the medium and of the stress field of the system of dislocation loops moving in arbitrary manner, are discussed.
scientific article; zbMATH DE number 500772