Publication detail
The influence of the first non-singular stress terms on crack initiation direction in an orthotropic bi-material plate
KLUSÁK, J. HRSTKA, M. PROFANT, T. KREPL, O. ŠEVEČEK, O. KOTOUL, M.
Czech title
The influence of the first non-singular stress terms on crack initiation direction in an orthotropic bi-material plate
English title
The influence of the first non-singular stress terms on crack initiation direction in an orthotropic bi-material plate
Type
journal article in Web of Science
Language
en
Original abstract
A bi-material plate composed of two orthotropic parts leads to free edge stress singularity. This is considered as a bi-material notch with w1=w2=90degree under general loading. Besides the singular term the first non-singular term is also included in the stress distribution at the notch tip. The Stroh–Eshelby–Lekhnitskii formalism for plane elasticity is used to express stress and displacement fields and the strain energy density factor. The exponents of the singular and non-singular stress terms and corresponding eigenvectors are the solution of the eigenvalue problem resulting from the prescribed boundary and compatibility conditions at the notch tip. The potential direction of crack initiation is determined from the local minimum of the mean value of the strain energy density factor in both materials. The necessary knowledge of the generalized stress intensity factor and generalized T-stress is realized by means of the employment of the two state conservation integrals. Following the assumption of the same mechanism of rupture in the case of a crack and a notch, an expression for the critical values of the generalized stress intensity factor is obtained.
Czech abstract
A bi-material plate composed of two orthotropic parts leads to free edge stress singularity. This is considered as a bi-material notch with w1=w2=90 degree under general loading. Besides the singular term the first non-singular term is also included in the stress distribution at the notch tip. The Stroh–Eshelby–Lekhnitskii formalism for plane elasticity is used to express stress and displacement fields and the strain energy density factor. The exponents of the singular and non-singular stress terms and corresponding eigenvectors are the solution of the eigenvalue problem resulting from the prescribed boundary and compatibility conditions at the notch tip. The potential direction of crack initiation is determined from the local minimum of the mean value of the strain energy density factor in both materials. The necessary knowledge of the generalized stress intensity factor and generalized T-stress is realized by means of the employment of the two state conservation integrals. Following the assumption of the same mechanism of rupture in the case of a crack and a notch, an expression for the critical values of the generalized stress intensity factor is obtained.
English abstract
A bi-material plate composed of two orthotropic parts leads to free edge stress singularity. This is considered as a bi-material notch with w1=w2=90degree under general loading. Besides the singular term the first non-singular term is also included in the stress distribution at the notch tip. The Stroh–Eshelby–Lekhnitskii formalism for plane elasticity is used to express stress and displacement fields and the strain energy density factor. The exponents of the singular and non-singular stress terms and corresponding eigenvectors are the solution of the eigenvalue problem resulting from the prescribed boundary and compatibility conditions at the notch tip. The potential direction of crack initiation is determined from the local minimum of the mean value of the strain energy density factor in both materials. The necessary knowledge of the generalized stress intensity factor and generalized T-stress is realized by means of the employment of the two state conservation integrals. Following the assumption of the same mechanism of rupture in the case of a crack and a notch, an expression for the critical values of the generalized stress intensity factor is obtained.
Keywords in Czech
Bi-material notch, Crack initiation direction, Non-singular stress term, Generalized fracture mechanics, Path-independent integral
Keywords in English
Bi-material notch, Crack initiation direction, Non-singular stress term, Generalized fracture mechanics, Path-independent integral
RIV year
2014
Released
01.06.2014
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Location
England, Oxford
ISSN
0167-8442
Volume
71
Number
2014
Pages from–to
67–75
Pages count
9
BIBTEX
@article{BUT109036,
author="Jan {Klusák} and Miroslav {Hrstka} and Tomáš {Profant} and Ondřej {Krepl} and Oldřich {Ševeček} and Michal {Kotoul},
title="The influence of the first non-singular stress terms on crack initiation direction in an orthotropic bi-material plate",
year="2014",
volume="71",
number="2014",
month="June",
pages="67--75",
publisher="PERGAMON-ELSEVIER SCIENCE LTD",
address="England, Oxford",
issn="0167-8442"
}