Electrostrictive stresses near crack-like flaws
type: Item
instance of: scholarly article
title: Electrostrictive stresses near crack-like flaws
zbMATH Open document ID: 0685.73050
DOI: 10.1007/BF00945867
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1989-01-01T00:00:00Z
review text: The effect of an elliptical through flaw in an infinite isotropic body is considered. It is found that, in the case of thin ellipses, the near flaw tip mechanical stresses approximate the singular stresses near a slit crack with an equivalent stress intensity factor. In that sense, the flaw may be considered as a slit crack and treated in terms of linear elastic fracture mechanics. However, except for impermeable and conducting flaws, the value of the equivalent stress intensity factor depends on the aspect ratio of the flaw. As the aspect ratio of the flaw diminishes, the magnitude of the equivalent stress intensity factor falls and disappears in the limit of a slit crack. The results are used to show that a flaw- like crack in a material with a very high dielectric constant can be treated by fracture mechanics as an impermeable slit crack when the flaw aspect ratio is an order of magnitude greater than the ratio of dielectric permittivities (flaw value divided by the value for the surrounding material).
Mathematics Subject Classification ID: 74F15
Mathematics Subject Classification ID: 74G70
Mathematics Subject Classification ID: 74R05
zbMATH DE Number: 4123397
zbMATH Keywords: elliptical through flaw
zbMATH Keywords: infinite isotropic body
zbMATH Keywords: thin ellipses
zbMATH Keywords: near flaw tip mechanical stresses
zbMATH Keywords: singular stresses
zbMATH Keywords: slit crack
zbMATH Keywords: equivalent stress intensity factor
zbMATH Keywords: flaw-like crack
zbMATH Keywords: material with a very high dielectric constant
zbMATH Keywords: impermeable slit crack
author: Robert M. McMeeking
MaRDI profile type: Publication
cites work: Q5735118
cites work: Some Problems in Two‐Dimensional Electrostriction
cites work: A J-integral for the analysis of electrically induced mechanical stress at cracks in elastic dielectrics
cites work: Crack Extension Force in a Piezoelectric Material
cites work: Crack extension force in a dielectric medium
cites work: Q3885343
full work available at URL: https://doi.org/10.1007/bf00945867
OpenAlex ID: W2093776774
description: scientific article; zbMATH DE number 4123397