Detail publikace
A study of the stability of sharp notches in the orthotropic heterogeneous media
PROFANT, T. KLUSÁK, J. KOTOUL, M.
Český název
A study of the stability of sharp notches in the orthotropic heterogeneous media
Anglický název
A study of the stability of sharp notches in the orthotropic heterogeneous media
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
en
Originální abstrakt
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.
Český abstrakt
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.
Anglický abstrakt
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.
Klíčová slova česky
Stroh-Eshelby-Lekhnitskii formalism, bi-material notch, orthotropic
Klíčová slova anglicky
Stroh-Eshelby-Lekhnitskii formalism, bi-material notch, orthotropic
Rok RIV
2010
Vydáno
07.06.2010
ISBN
978-88-95940-31-1
Kniha
The Ninth International Conference on Multiaxial Fatigue & Fracture (ICMFF9)
Strany od–do
733–740
Počet stran
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"
}