Publication result detail

Calculation of k-factor and t-stress for cracks in anisotropic bimaterials

PROFANT, T.; ŠEVEČEK, O.; KOTOUL, M.

Original Title

Calculation of k-factor and t-stress for cracks in anisotropic bimaterials

English Title

Calculation of k-factor and t-stress for cracks in anisotropic bimaterials

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The problem of a crack in a thin layer terminating perpendicular to a layer/substrate interface is analyzed for a general case of elastic anisotropy. The crack is modelled by means of continuous distribution of dislocations, which is assumed to be singular at the crack tip. A system of simultaneous functional equations is obtained that enables to find the singularity exponent . The reciprocal theorem is used to compute the generalized stress intensity factor (GSIF) through the remote stress and displacement field for a particular specimen geometry and boundary conditions using FEM. The results obtained are compared with the evaluation of GSIF based upon the dislocation arrays technique. Existing semi-analytical solution for singularities in anisotropic trimaterials is applied and its validity for the specimen investigated is checked by FEM. The evaluation of T-stress using the dislocation arrays technique is performed.

English abstract

The problem of a crack in a thin layer terminating perpendicular to a layer/substrate interface is analyzed for a general case of elastic anisotropy. The crack is modelled by means of continuous distribution of dislocations, which is assumed to be singular at the crack tip. A system of simultaneous functional equations is obtained that enables to find the singularity exponent . The reciprocal theorem is used to compute the generalized stress intensity factor (GSIF) through the remote stress and displacement field for a particular specimen geometry and boundary conditions using FEM. The results obtained are compared with the evaluation of GSIF based upon the dislocation arrays technique. Existing semi-analytical solution for singularities in anisotropic trimaterials is applied and its validity for the specimen investigated is checked by FEM. The evaluation of T-stress using the dislocation arrays technique is performed.

Keywords

anisotropic bimaterials; generalized stress intensity factor; T-stress; FEM; reciprocal theorem; distributed dislocations technique.

Key words in English

anisotropic bimaterials; generalized stress intensity factor; T-stress; FEM; reciprocal theorem; distributed dislocations technique.

Authors

PROFANT, T.; ŠEVEČEK, O.; KOTOUL, M.

Released

11.10.2007

ISBN

0013-7944

Periodical

ENGINEERING FRACTURE MECHANICS

Volume

75

Number

11

State

United Kingdom of Great Britain and Northern Ireland

Pages from

3707

Pages to

3726

Pages count

20

BibTex

@article{BUT44276,
  author="Tomáš {Profant} and Oldřich {Ševeček} and Michal {Kotoul}",
  title="Calculation of k-factor and t-stress for cracks in anisotropic bimaterials",
  journal="ENGINEERING FRACTURE MECHANICS",
  year="2007",
  volume="75",
  number="11",
  pages="3707--3726",
  issn="0013-7944"
}