Publication detail

Effect of higher order asymptotic terms on the competition between crack penetration and debond at a bimaterial interface between aligned orthotropic materials

ŠEVEČEK, O. KOTOUL, M. PROFANT, T.

Czech title

Efekt vyšších členů asymptotického rozvoje na penetraci trhliny resp. dekohezi bimateriálového rozhraní mezi dvěma ortotropními materiály se souhlasně orientovanými osami symetrie

English title

Effect of higher order asymptotic terms on the competition between crack penetration and debond at a bimaterial interface between aligned orthotropic materials

Type

journal article in Web of Science

Language

en

Original abstract

Crack perpendicularly impinging the bimaterial interface and a crack arbitrary inclined to the interface are considered for a wide range of elastically mismatched materials. In the former case, the effect of the T-stress is investigated, in the latter case the combined effect of a weaker singularity and stronger singularity is examined for a range of crack/interface configurations. For the crack arbitrary inclined to the interface, FE solution of near-crack stress–displacement field obtained using a very fine mesh is compared with analytical singular field considering two leading terms of asymptotic expansion. As a side result it is found that the domain of singular field dominance for an arbitrary inclined crack increases with decreasing angle between the crack and the interface.

Czech abstract

crack perpendicularly impinging the bimaterial interface and a crack arbitrary inclined to the interface are considered for a wide range of elastically mismatched materials. In the former case, the effect of the T-stress is investigated, in the latter case the combined effect of a weaker singularity and stronger singularity is examined for a range of crack/interface configurations. For the crack arbitrary inclined to the interface, FE solution of near-crack stress–displacement field obtained using a very fine mesh is compared with analytical singular field considering two leading terms of asymptotic expansion. As a side result it is found that the domain of singular field dominance for an arbitrary inclined crack increases with decreasing angle between the crack and the interface.

English abstract

Crack perpendicularly impinging the bimaterial interface and a crack arbitrary inclined to the interface are considered for a wide range of elastically mismatched materials. In the former case, the effect of the T-stress is investigated, in the latter case the combined effect of a weaker singularity and stronger singularity is examined for a range of crack/interface configurations. For the crack arbitrary inclined to the interface, FE solution of near-crack stress–displacement field obtained using a very fine mesh is compared with analytical singular field considering two leading terms of asymptotic expansion. As a side result it is found that the domain of singular field dominance for an arbitrary inclined crack increases with decreasing angle between the crack and the interface.

Keywords in Czech

Bimaterial interface; Crack penetration and debond; Split singularities; T-stress; Matched asymptotic expansion; Finite fracture mechanics.

Keywords in English

Bimaterial interface; Crack penetration and debond; Split singularities; T-stress; Matched asymptotic expansion; Finite fracture mechanics.

RIV year

2012

Released

17.01.2012

ISSN

0013-7944

Volume

80

Number

1

Pages from–to

28–51

Pages count

24

BIBTEX


@article{BUT90932,
  author="Oldřich {Ševeček} and Michal {Kotoul} and Tomáš {Profant},
  title="Effect of higher order asymptotic terms on the competition between crack penetration and debond at a bimaterial interface between aligned orthotropic materials",
  year="2012",
  volume="80",
  number="1",
  month="January",
  pages="28--51",
  issn="0013-7944"
}