Comparison of crack propagation criteria in linear elastic fracture mechanics

Mikeš, Karel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics AS CR(Prague), page 142-149

Abstract

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In linear fracture mechanics, it is common to use the local Irwin criterion or the equivalent global Griffith criterion for decision whether the crack is propagating or not. In both cases, a quantity called the stress intensity factor can be used. In this paper, four methods are compared to calculate the stress intensity factor numerically; namely by using the stress values, the shape of a crack, nodal reactions and the global energetic method. The most accurate global energetic method is used to simulate the crack propagation in opening mode. In mixed mode, this method is compared with the frequently used maximum circumferential stress criterion.

How to cite

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Mikeš, Karel. "Comparison of crack propagation criteria in linear elastic fracture mechanics." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 142-149. <http://eudml.org/doc/269917>.

@inProceedings{Mikeš2015,
abstract = {In linear fracture mechanics, it is common to use the local Irwin criterion or the equivalent global Griffith criterion for decision whether the crack is propagating or not. In both cases, a quantity called the stress intensity factor can be used. In this paper, four methods are compared to calculate the stress intensity factor numerically; namely by using the stress values, the shape of a crack, nodal reactions and the global energetic method. The most accurate global energetic method is used to simulate the crack propagation in opening mode. In mixed mode, this method is compared with the frequently used maximum circumferential stress criterion.},
author = {Mikeš, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {crack propagation; linear elastic fracture mechanics},
location = {Prague},
pages = {142-149},
publisher = {Institute of Mathematics AS CR},
title = {Comparison of crack propagation criteria in linear elastic fracture mechanics},
url = {http://eudml.org/doc/269917},
year = {2015},
}

TY - CLSWK
AU - Mikeš, Karel
TI - Comparison of crack propagation criteria in linear elastic fracture mechanics
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 142
EP - 149
AB - In linear fracture mechanics, it is common to use the local Irwin criterion or the equivalent global Griffith criterion for decision whether the crack is propagating or not. In both cases, a quantity called the stress intensity factor can be used. In this paper, four methods are compared to calculate the stress intensity factor numerically; namely by using the stress values, the shape of a crack, nodal reactions and the global energetic method. The most accurate global energetic method is used to simulate the crack propagation in opening mode. In mixed mode, this method is compared with the frequently used maximum circumferential stress criterion.
KW - crack propagation; linear elastic fracture mechanics
UR - http://eudml.org/doc/269917
ER -

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