On the singularity of the stresses near the face of a thin elastic inclusion in a piecewise homogeneous plane
type: Item
instance of: scholarly article
title: On the singularity of the stresses near the face of a thin elastic inclusion in a piecewise homogeneous plane
zbMATH Open document ID: 0614.73011
DOI: 10.1016/0021-8928(85)90089-9
author: A. A. Evtushenko
author: Yu. I. Sorokatyj
author: D. V. Grilits'kij
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The asymptotic behaviour of normal stresses near the tip of a thin elastic inclusion situated near a line weld joining two dissimilar elastic half-planes, is studied. It is established that apart from the well-known root-type singularity two additional terms of the asymptotic expression exist which must not be neglected. One of them is of the order of unity, and the other contains an ''imaginary singularity'' and makes a significant contribution to the state of stress when the distance between the face of the inclusion and the line separating the materials are small.
Mathematics Subject Classification ID: 74E05
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 45E05
zbMATH DE Number: 3995139
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: normal stresses
zbMATH Keywords: thin elastic inclusion
zbMATH Keywords: line weld
zbMATH Keywords: joining two dissimilar elastic half-planes
zbMATH Keywords: order of unity
zbMATH Keywords: imaginary singularity
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90089-9
OpenAlex ID: W2034866554
cites work: State of stress of a strip (beam) with a rectilinear thin-walled inclusion
cites work: Elastic equilibrium of a composite plane containing an arbitrarily oriented thin elastic inclusion
description: scientific article; zbMATH DE number 3995139