Publication detail
An energetic criterion for a micro-crack of finite length initiated in orthotropic bi-material notches
PROFANT, T. KLUSÁK, J. ŠEVEČEK, O. HRSTKA, M. KOTOUL, M.
Czech title
Energetické kriterium pro mikrotrhlinu kritické délky iniciovanou z ortotropního bimateriálového vrubu
English title
An energetic criterion for a micro-crack of finite length initiated in orthotropic bi-material notches
Type
journal article - other
Language
en
Original abstract
The singular stress field at the tip of a bi-material orthotropic notch may cause the initiation of micro-cracks into one of its material part. Assuming the plane elasticity of the anisotropic media, the Lekhnitskii–Eshelby–Stroh formalism is used to express the characteristics of the singular stress field at the notch tip, the auxiliary solution necessary for the calculation of the contour-independent integrals and consequently generalized stress intensity factors. The matched asymptotic expansion analysis is used to evaluate the fracture energy release rate which allows one to assess the potential direction of a crack and establish the fracture criterion based on the theory of the finite fracture mechanics.
Czech abstract
Singulární napěťové pole u kořene bimateriálového vrubu může způsobit iniciaci mikrotrhlin do jedné z jeho materiálových složek. Za předpokladu rovinné anizotropní pružnosti lze pro vyjádření charakteru singulárního pole napětí v okolí kořene vrubu, pomocného řešení nezbytného pro výpočet integrálů nezávislých na integrační cestě a následně zobecněných faktorů intenzity napětí použít Lechnicky-Eshelby-Struhův formalismus.
English abstract
The singular stress field at the tip of a bi-material orthotropic notch may cause the initiation of micro-cracks into one of its material part. Assuming the plane elasticity of the anisotropic media, the Lekhnitskii–Eshelby–Stroh formalism is used to express the characteristics of the singular stress field at the notch tip, the auxiliary solution necessary for the calculation of the contour-independent integrals and consequently generalized stress intensity factors. The matched asymptotic expansion analysis is used to evaluate the fracture energy release rate which allows one to assess the potential direction of a crack and establish the fracture criterion based on the theory of the finite fracture mechanics.
Keywords in Czech
Bimateriálový vrub; ortotropie; dvoustavový intergrál; konečný asymptotický rozvoj; komplexní potenciály; LES formalismus; konečný přírůstek trhliny
Keywords in English
Bi-material notch; Orthotropy; Two-state integral; Matched asymptotic expansion; Complex potentials; LES formalism; Finite crack increment
RIV year
2013
Released
04.09.2013
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Location
England, Oxford
ISSN
0013-7944
Volume
110
Number
2013
Pages from–to
396–409
Pages count
14
BIBTEX
@article{BUT102836,
author="Tomáš {Profant} and Jan {Klusák} and Oldřich {Ševeček} and Miroslav {Hrstka} and Michal {Kotoul},
title="An energetic criterion for a micro-crack of finite length initiated in orthotropic bi-material notches",
year="2013",
volume="110",
number="2013",
month="September",
pages="396--409",
publisher="PERGAMON-ELSEVIER SCIENCE LTD",
address="England, Oxford",
issn="0013-7944"
}