Detail publikace
Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity
KOTOUL, M. PROFANT, T.
Anglický název
Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
An asymptotic solution for interface crack between mismatched materials that obey a special form of linear isotropic strain gradient elasticity under conditions of plane strain is developed. It is shown that the asymptotic solution depends in a complicated manner both on a mismatch of elastic properties and a mismatch of the internal length scale parameter. Numerical analysis shows that the mismatch of elastic moduli and the gradient coefficient respectively lift the degeneracy of the exponent p that is characteristic for a crack in homogeneous material. The total energy release rate Gint due to a crack extension along the interface is derived generalizing the classical virtual crack closure method. The reciprocal work contour integral method for the evaluation of amplitude factors in the asymptotic expansion is extended to interface crack in the linear isotropic strain gradient elasticity.
Anglický abstrakt
An asymptotic solution for interface crack between mismatched materials that obey a special form of linear isotropic strain gradient elasticity under conditions of plane strain is developed. It is shown that the asymptotic solution depends in a complicated manner both on a mismatch of elastic properties and a mismatch of the internal length scale parameter. Numerical analysis shows that the mismatch of elastic moduli and the gradient coefficient respectively lift the degeneracy of the exponent p that is characteristic for a crack in homogeneous material. The total energy release rate Gint due to a crack extension along the interface is derived generalizing the classical virtual crack closure method. The reciprocal work contour integral method for the evaluation of amplitude factors in the asymptotic expansion is extended to interface crack in the linear isotropic strain gradient elasticity.
Klíčová slova anglicky
Dipolar gradient elasticity; interface crack; asymptotics
Vydáno
20.09.2018
Nakladatel
Elsevier
ISSN
0013-7944
Ročník
201
Číslo
1
Strany od–do
80–106
Počet stran
27
BIBTEX
@article{BUT150111,
author="Michal {Kotoul} and Tomáš {Profant},
title="Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity",
year="2018",
volume="201",
number="1",
month="September",
pages="80--106",
publisher="Elsevier",
issn="0013-7944"
}