Detail publikačního výsledku

Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity

KOTOUL, M.; PROFANT, T.

Originální název

Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity

Anglický název

Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity

Druh

Článek WoS

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

Dipolar gradient elasticity; interface crack; asymptotics

Klíčová slova v angličtině

Dipolar gradient elasticity; interface crack; asymptotics

Autoři

KOTOUL, M.; PROFANT, T.

Rok RIV

2019

Vydáno

20.09.2018

Nakladatel

Elsevier

ISSN

0013-7944

Periodikum

ENGINEERING FRACTURE MECHANICS

Svazek

201

Číslo

1

Stát

Spojené království Velké Británie a Severního Irska

Strany od

80

Strany do

106

Strany počet

27

URL

https://www.sciencedirect.com/science/article/pii/S0013794417312389

BibTex

@article{BUT150111,
  author="Michal {Kotoul} and Tomáš {Profant}",
  title="Asymptotic solution for interface crack between two materials governed by dipolar gradient elasticity",
  journal="ENGINEERING FRACTURE MECHANICS",
  year="2018",
  volume="201",
  number="1",
  pages="80--106",
  doi="10.1016/j.engfracmech.2018.05.002",
  issn="0013-7944",
  url="https://www.sciencedirect.com/science/article/pii/S0013794417312389"
}