Publication detail
THE ANALYSIS OF THE CRACK INITIATED FROM THE ORTHOTROPIC BI-MATERIAL SHARP NOTCH
PROFANT, T. KLUSÁK, J. KOTOUL, M.
Czech title
THE ANALYSIS OF THE CRACK INITIATED FROM THE ORTHOTROPIC BI-MATERIAL SHARP NOTCH
English title
THE ANALYSIS OF THE CRACK INITIATED FROM THE ORTHOTROPIC BI-MATERIAL SHARP NOTCH
Type
conference paper
Language
en
Original abstract
Under the consideration of the bi-material notch composed of two orthotropic materials the potential direction of the crack initiated from the notch tip 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 for the critical values of the generalized stress intensity factor can be obtained. The radial and tangential stresses and strain energy density are expressed using the Lekhnitskii-Eshelby-Stroh (LES) 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.
Czech abstract
Under the consideration of the bi-material notch composed of two orthotropic materials the potential direction of the crack initiated from the notch tip 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 for the critical values of the generalized stress intensity factor can be obtained. The radial and tangential stresses and strain energy density are expressed using the Lekhnitskii-Eshelby-Stroh (LES) 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.
English abstract
Under the consideration of the bi-material notch composed of two orthotropic materials the potential direction of the crack initiated from the notch tip 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 for the critical values of the generalized stress intensity factor can be obtained. The radial and tangential stresses and strain energy density are expressed using the Lekhnitskii-Eshelby-Stroh (LES) 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.
Keywords in Czech
Orthotropic, bi-material, sharp notch, LES formalism, psi-integral, MTS theory
Keywords in English
Orthotropic, bi-material, sharp notch, LES formalism, psi-integral, MTS theory
RIV year
2011
Released
09.05.2011
Publisher
Institute of Thermomechanics - Academy of Sciences of the Czech Republic - Prague
Location
Prague
ISBN
978-80-87012-33-8
Book
ENGINEERING MECHANICS
Edition number
1
Pages from–to
103–107
Pages count
4
BIBTEX
@inproceedings{BUT90683,
author="Tomáš {Profant} and Jan {Klusák} and Michal {Kotoul},
title="THE ANALYSIS OF THE CRACK INITIATED FROM THE ORTHOTROPIC BI-MATERIAL SHARP NOTCH",
booktitle="ENGINEERING MECHANICS",
year="2011",
month="May",
pages="103--107",
publisher="Institute of Thermomechanics - Academy of Sciences of the Czech Republic - Prague",
address="Prague",
isbn="978-80-87012-33-8"
}