Spectral decomposition of Green's tensor of the dynamic problem of the theory of elasticity in cylindrical coordinates
type: Item
instance of: scholarly article
title: Spectral decomposition of Green's tensor of the dynamic problem of the theory of elasticity in cylindrical coordinates
zbMATH Open document ID: 0787.73011
DOI: 10.1016/0021-8928(91)90037-U
author: K. A. Chishko
published in: Journal of Applied Mathematics and Mechanics
publication date: 1994-03-07T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 53A45
zbMATH DE Number: 500772
zbMATH Keywords: unbounded isotropic medium
zbMATH Keywords: Fourier transforms
zbMATH Keywords: field of displacement rates
zbMATH Keywords: stress field
zbMATH Keywords: dislocation loops
MaRDI profile type: Publication
cites work: Q5644721
cites work: On foundations of the theory of elastic media with microstructure
cites work: Q5612408
cites work: Q5569399
full work available at URL: 0021-8928(91)90037-u
OpenAlex ID: W2060104121
description: scientific article; zbMATH DE number 500772