Detail publikace
Calculation of k-factor and t-stress for cracks in anisotropic bimaterials
PROFANT, T. ŠEVEČEK, O. KOTOUL, M.
Český název
Calculation of k-factor and t-stress for cracks in anisotropic bimaterials
Anglický název
Calculation of k-factor and t-stress for cracks in anisotropic bimaterials
Typ
článek v časopise - ostatní, Jost
Jazyk
en
Originální abstrakt
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.
Český abstrakt
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.
Anglický abstrakt
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.
Klíčová slova česky
anisotropic bimaterials; generalized stress intensity factor; T-stress; FEM; reciprocal theorem; distributed dislocations technique.
Klíčová slova anglicky
anisotropic bimaterials; generalized stress intensity factor; T-stress; FEM; reciprocal theorem; distributed dislocations technique.
Rok RIV
2007
Vydáno
11.10.2007
ISSN
0013-7944
Časopis
Engineering Fracture Mechanics
Ročník
75
Číslo
11
Strany od–do
3707–3726
Počet stran
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",
month="October",
pages="3707--3726",
issn="0013-7944"
}