Publication detail
A Stability Criterion of an Orthotropic Bi-Material Notch Based on the Strain Energy Density
HRSTKA, M. PROFANT, T. KLUSÁK, J. ŠEVEČEK, O. KOTOUL, M.
Czech title
Energetické kriterium stability ortotropního bimateriálového vrubu
English title
A Stability Criterion of an Orthotropic Bi-Material Notch Based on the Strain Energy Density
Type
conference paper
Language
en
Original abstract
A bi-material notch or a crack terminating at the bi-material interface composed of two orthotropic materials is considered. The stress and displacement fields are expressed using the Lekhnitskii-Eshelby-Stroh formalism for plane elasticity and as the result of an application of the psi-integral method. Knowledge of the basic stress concentrator characteristics such as stress singularity exponent and corresponding regular and auxiliary eigenvectors allows the psi-integral method allows one to evaluate the generalized stress intensity factor of the studied stress concentrator. The achieved results are used for the next analysis such as assessment of the potential direction of the crack initiation and for notch stability criteria assessment as an extension of standard crack fracture mechanics.
Czech abstract
Uvažujme bimateriálový vrub nebo trhlinu šířící se z bimateriálového rozhraní složeného ze dvou ortotropních materiálů. Pole napětí a přetvoření jsou vyjádřeny pomocí Lechnicky-Eshelby-Strohova formalismu za podmínek rovinné pružnosti a aplikací metody psi-integrálu. Aby bylo možné vyjádřit zobecněný faktor intenzity napětí studovaného bimateriálového vrubu, je důlěžité zjistit základní charakteristiky jako exponent singularity napětí a odpovídající regulární a doplňkové řešení. Získané výsledky jsou použity pro další analýzu jako je stanovení směru iniciace trhliny a kriterium stability jakožto rozšíření standardní lomové mechaniky.
English abstract
A bi-material notch or a crack terminating at the bi-material interface composed of two orthotropic materials is considered. The stress and displacement fields are expressed using the Lekhnitskii-Eshelby-Stroh formalism for plane elasticity and as the result of an application of the psi-integral method. Knowledge of the basic stress concentrator characteristics such as stress singularity exponent and corresponding regular and auxiliary eigenvectors allows the psi-integral method allows one to evaluate the generalized stress intensity factor of the studied stress concentrator. The achieved results are used for the next analysis such as assessment of the potential direction of the crack initiation and for notch stability criteria assessment as an extension of standard crack fracture mechanics.
Keywords in Czech
lomová mechanika, bimateriálový vrub, kriteria stability, singulární koncentrátor napětí, faktor intenzity napětí, psi-integrál
Keywords in English
fracture mechanics, bi-material notch, stability criteria, singular stress concentrator, stress intensity factor, psi-integral
RIV year
2014
Released
12.05.2014
Publisher
BUT
Location
Svratka
ISBN
978-80-214-4871-1
Book
Engineering Mechanics 2014
Edition number
2014
Pages from–to
232–235
Pages count
4
BIBTEX
@inproceedings{BUT109042,
author="Miroslav {Hrstka} and Tomáš {Profant} and Jan {Klusák} and Oldřich {Ševeček} and Michal {Kotoul},
title="A Stability Criterion of an Orthotropic Bi-Material Notch Based on the Strain Energy Density",
booktitle="Engineering Mechanics 2014",
year="2014",
month="May",
pages="232--235",
publisher="BUT",
address="Svratka",
isbn="978-80-214-4871-1"
}