An axisymmetric problem for a layer with a system of thin elastic inclusions
type: Item
instance of: scholarly article
title: An axisymmetric problem for a layer with a system of thin elastic inclusions
zbMATH Open document ID: 0584.73017
DOI: 10.1016/0021-8928(84)90066-2
author: V. P. Silovanyuk
author: M. M. Stadnik
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: An approximate method is proposed for determining the stress concentration in an infinite elastic layer near a system of thin elastic inclusions bounded by coaxial smooth surfaces of revolution. The problem is reduced to a system of integral equations of the second kind by a Hankel transformation, which can then be solved by successive approximations or numerically. A numerical computation is performed for the case of two spheroidal inclusions in unbounded space. The results are compared with those known in the literature.
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74E05
zbMATH DE Number: 3936605
zbMATH Keywords: approximate method
zbMATH Keywords: infinite elastic layer
zbMATH Keywords: thin elastic inclusions
zbMATH Keywords: bounded by coaxial smooth surfaces of revolution
zbMATH Keywords: reduced to a system of integral equations of the second kind
zbMATH Keywords: Hankel transformation
zbMATH Keywords: two spheroidal inclusions in unbounded space
MaRDI profile type: Publication
full work available at URL: 0021-8928(84)90066-2
OpenAlex ID: W2093744753
cites work: Inverse problems of the plane theory of elasticity
cites work: Two-Ellipsoidal Inhomogeneities by the Equivalent Inclusion Method
cites work: Q3896577
cites work: Q3038715
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description: scientific article; zbMATH DE number 3936605