Plastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach
At crack tip the stress distribution has singularities (i.e the stress intensity is infinite) which is physically impossible. Irwin realised that the stresses at crack tip are finite and subsequently introduced the Stress Intensify Factor(SIF). This factor is used to determine this plastic zone size...
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EDP Sciences
2021
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oai:doaj.org-article:72b1a1f26462497ab437335fbd84ed602021-12-02T17:13:38ZPlastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach2261-236X10.1051/matecconf/202134801007https://doaj.org/article/72b1a1f26462497ab437335fbd84ed602021-01-01T00:00:00Zhttps://www.matec-conferences.org/articles/matecconf/pdf/2021/17/matecconf_inbes2021_01007.pdfhttps://doaj.org/toc/2261-236XAt crack tip the stress distribution has singularities (i.e the stress intensity is infinite) which is physically impossible. Irwin realised that the stresses at crack tip are finite and subsequently introduced the Stress Intensify Factor(SIF). This factor is used to determine this plastic zone size. The crack is a special case of the notch. Around the notch, the fracture needs a volume to develop according to the volumetric approach. This volume is characterised by the distance effective Xeff, the stress effective σeff and the stress intensity factor KρI $K_\rho^{I}$ KρI . In This paper a new proposed formula called “Modified Irwin’s Model” based on Irwin’s model can be used to determine the plastic zone size. This new formula will be verified using numerical finite element simulation and validated using the Von-Mises and Tresca Criteria. The Modified Irwin’s Model can be an alternative way to estimate the fracture elaboration zone from the plastic zone.Fakir MounaEl Minor HassanEl Minor HananeEDP Sciencesarticlenotchvolumetric approachirwin’s modeleffective distanceplastic zonemode i fractureEngineering (General). Civil engineering (General)TA1-2040ENFRMATEC Web of Conferences, Vol 348, p 01007 (2021) |
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notch volumetric approach irwin’s model effective distance plastic zone mode i fracture Engineering (General). Civil engineering (General) TA1-2040 |
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notch volumetric approach irwin’s model effective distance plastic zone mode i fracture Engineering (General). Civil engineering (General) TA1-2040 Fakir Mouna El Minor Hassan El Minor Hanane Plastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach |
| description |
At crack tip the stress distribution has singularities (i.e the stress intensity is infinite) which is physically impossible. Irwin realised that the stresses at crack tip are finite and subsequently introduced the Stress Intensify Factor(SIF). This factor is used to determine this plastic zone size. The crack is a special case of the notch. Around the notch, the fracture needs a volume to develop according to the volumetric approach. This volume is characterised by the distance effective Xeff, the stress effective σeff and the stress intensity factor
KρI
$K_\rho^{I}$
KρI
. In This paper a new proposed formula called “Modified Irwin’s Model” based on Irwin’s model can be used to determine the plastic zone size. This new formula will be verified using numerical finite element simulation and validated using the Von-Mises and Tresca Criteria. The Modified Irwin’s Model can be an alternative way to estimate the fracture elaboration zone from the plastic zone. |
| format |
article |
| author |
Fakir Mouna El Minor Hassan El Minor Hanane |
| author_facet |
Fakir Mouna El Minor Hassan El Minor Hanane |
| author_sort |
Fakir Mouna |
| title |
Plastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach |
| title_short |
Plastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach |
| title_full |
Plastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach |
| title_fullStr |
Plastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach |
| title_full_unstemmed |
Plastic zone size at notch tip in mode I fracture using the modified Irwin’s model and volumetric approach |
| title_sort |
plastic zone size at notch tip in mode i fracture using the modified irwin’s model and volumetric approach |
| publisher |
EDP Sciences |
| publishDate |
2021 |
| url |
https://doaj.org/article/72b1a1f26462497ab437335fbd84ed60 |
| work_keys_str_mv |
AT fakirmouna plasticzonesizeatnotchtipinmodeifractureusingthemodifiedirwinsmodelandvolumetricapproach AT elminorhassan plasticzonesizeatnotchtipinmodeifractureusingthemodifiedirwinsmodelandvolumetricapproach AT elminorhanane plasticzonesizeatnotchtipinmodeifractureusingthemodifiedirwinsmodelandvolumetricapproach |
| _version_ |
1718381324315656192 |