Publication detail

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

KOTOUL, M. PROFANT, T.

English title

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

Type

WoS Article

Language

en

Original abstract

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.

Keywords in English

Dipolar gradient elasticity; interface crack; asymptotics

Released

2018-09-20

Publisher

Elsevier

ISSN

0013-7944

Journal

Engineering fracture mechanics

Volume

201

Number

1

Pages from–to

80–106

Pages count

27

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"
}