Publication detail

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

PROFANT, T. ŠEVEČEK, O. KOTOUL, M.

English title

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

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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.

Keywords in English

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

Released

2007-10-11

ISSN

0013-7944

Journal

Engineering fracture mechanics

Volume

75

Number

11

Pages from–to

3707–3726

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"
}