Publication detail
A study of the stability of sharp notches in the orthotropic heterogeneous media
PROFANT, T. KLUSÁK, J. KOTOUL, M.
Czech title
A study of the stability of sharp notches in the orthotropic heterogeneous media
English title
A study of the stability of sharp notches in the orthotropic heterogeneous media
Type
conference paper
Language
en
Original abstract
The bi-material notch composed of two orthotropic parts is considered. The radial and tangential stresses and strain energy density are expressed using the Stroh-Eshelby-Lekhnitskii formalism for the plane elasticity. The stress singular exponents and corresponding eigenvectors are the solution of the eigenvalue problem leading from the prescribed notch boundary and compatibility conditions. In generally, there is more than one solution of this eigenvalue problem and consequently the generalized stress intensity factors. The potential direction of the crack initiation is determined from the maximum mean value of the tangential stresses and local minimum of the mean value of the generalized strain energy density factor in both materials. Following the assumption of the same mechanism of the rupture in the case of the crack and the notch, an expression can be obtained for the critical values of the generalized stress intensity factor.
Czech abstract
The bi-material notch composed of two orthotropic parts is considered. The radial and tangential stresses and strain energy density are expressed using the Stroh-Eshelby-Lekhnitskii formalism for the plane elasticity. The stress singular exponents and corresponding eigenvectors are the solution of the eigenvalue problem leading from the prescribed notch boundary and compatibility conditions. In generally, there is more than one solution of this eigenvalue problem and consequently the generalized stress intensity factors. The potential direction of the crack initiation is determined from the maximum mean value of the tangential stresses and local minimum of the mean value of the generalized strain energy density factor in both materials. Following the assumption of the same mechanism of the rupture in the case of the crack and the notch, an expression can be obtained for the critical values of the generalized stress intensity factor.
English abstract
The bi-material notch composed of two orthotropic parts is considered. The radial and tangential stresses and strain energy density are expressed using the Stroh-Eshelby-Lekhnitskii formalism for the plane elasticity. The stress singular exponents and corresponding eigenvectors are the solution of the eigenvalue problem leading from the prescribed notch boundary and compatibility conditions. In generally, there is more than one solution of this eigenvalue problem and consequently the generalized stress intensity factors. The potential direction of the crack initiation is determined from the maximum mean value of the tangential stresses and local minimum of the mean value of the generalized strain energy density factor in both materials. Following the assumption of the same mechanism of the rupture in the case of the crack and the notch, an expression can be obtained for the critical values of the generalized stress intensity factor.
Keywords in Czech
Stroh-Eshelby-Lekhnitskii formalism, bi-material notch, orthotropic
Keywords in English
Stroh-Eshelby-Lekhnitskii formalism, bi-material notch, orthotropic
RIV year
2010
Released
07.06.2010
ISBN
978-88-95940-31-1
Book
The Ninth International Conference on Multiaxial Fatigue & Fracture (ICMFF9)
Pages from–to
733–740
Pages count
8
BIBTEX
@inproceedings{BUT35321,
author="Tomáš {Profant} and Jan {Klusák} and Michal {Kotoul},
title="A study of the stability of sharp notches in the orthotropic heterogeneous media",
booktitle="The Ninth International Conference on Multiaxial Fatigue & Fracture (ICMFF9)",
year="2010",
month="June",
pages="733--740",
isbn="978-88-95940-31-1"
}