The Fracture Strength under Internal Pressure of the Eggshell of the Domestic Fowl

Measurements are reported of the internal fluid pressure needed to fracture the shell of the egg of the domestic fowl. The average fracture stress, calculated from the measured pressure, for a set of 38 eggs was 15.2 MPa. This is about half of the fracture stress measured by concentric loading tests...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the Royal Society. B, Biological sciences Vol. 263; no. 1369; pp. 433 - 438
Main Authors: Entwistle, K. M., Reddy, T. Y.
Format: Journal Article
Language:English
Published: London The Royal Society 22-04-1996
Subjects:
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract Measurements are reported of the internal fluid pressure needed to fracture the shell of the egg of the domestic fowl. The average fracture stress, calculated from the measured pressure, for a set of 38 eggs was 15.2 MPa. This is about half of the fracture stress measured by concentric loading tests previously reported (Entwistle et al. 1995). This difference can be reconciled by taking account of differences in the effective area, AE, of the stressed surfaces. Using the statistical conclusion σ̄ mf AE is a constant, where σ̄f is the average fracture stress and m is the Weibull index, it is predicted from the results of one of the concentric loading tests that the average fracture stress under internal pressure should be 12.6 MPa. This issufficiently close to the measured value, 15.2 MPa, to confirm that the greater part of the difference in measured strength is accounted for by difference of stressed area. Powerful evidence of the effect of stressed area on shell behaviour was the observation that an 0.8 mm diameter hole drilled near the equator of the egg had no effect on the fracture pressure. The small effective stressed area round the hole raised the fracture strength by a factor greater than the stress concentration factor, so fracture occurred at a site away from the hole.
AbstractList Measurements are reported of the internal fluid pressure needed to fracture the shell of the egg of the domestic fowl. The average fracture stress, calculated from the measured pressure, for a set of 38 eggs was 15.2 MPa. This is about half of the fracture stress measured by concentric loading tests previously reported (Entwistle et al. 1995). This difference can be reconciled by taking account of differences in the effective area, AE, of the stressed surfaces. Using the statistical conclusion σ̄ mf AE is a constant, where σ̄f is the average fracture stress and m is the Weibull index, it is predicted from the results of one of the concentric loading tests that the average fracture stress under internal pressure should be 12.6 MPa. This issufficiently close to the measured value, 15.2 MPa, to confirm that the greater part of the difference in measured strength is accounted for by difference of stressed area. Powerful evidence of the effect of stressed area on shell behaviour was the observation that an 0.8 mm diameter hole drilled near the equator of the egg had no effect on the fracture pressure. The small effective stressed area round the hole raised the fracture strength by a factor greater than the stress concentration factor, so fracture occurred at a site away from the hole.
Measurements are reported of the internal fluid pressure needed to fracture the shell of the egg of the domestic fowl. The average fracture stress, calculated from the measured pressure, for a set of 38 eggs was 15.2 MPa. This is about half of the fracture stress measured by concentric loading tests previously reported (Entwistle et al. 1995). This difference can be reconciled by taking account of differences in the effective area, AE, of the stressed surfaces. Using the statistical conclusion $\overline{\sigma}_{\text{f}}{}^{m}$ AE is a constant, where $\overline{\sigma}_{\text{f}}$ is the average fracture stress and m is the Weibull index, it is predicted from the results of one of the concentric loading tests that the average fracture stress under internal pressure should be 12.6 MPa. This is sufficiently close to the measured value, 15.2 MPa, to confirm that the greater part of the difference in measured strength is accounted for by difference of stressed area. Powerful evidence of the effect of stressed area on shell behaviour was the observation that an 0.8 mm diameter hole drilled near the equator of the egg had no effect on the fracture pressure. The small effective stressed area round the hole raised the fracture strength by a factor greater than the stress concentration factor, so fracture occurred at a site away from the hole.
Measurements are reported of the internal fluid pressure needed to fracture the shell of the egg of the domestic fowl. The average fracture stress, calculated from the measured pressure, for a set of 38 eggs was 15.2 MPa. This is about half of the fracture stress measured by concentric loading tests previously reported (Entwistle et al. 1995). This difference can be reconciled by taking account of differences in the effective area, A$_{E}$, of the stressed surfaces. Using the statistical conclusion $\overline{\sigma}_{\text{f}}{}^{m}$ A$_{E}$ is a constant, where $\overline{\sigma}_{\text{f}}$ is the average fracture stress and m is the Weibull index, it is predicted from the results of one of the concentric loading tests that the average fracture stress under internal pressure should be 12.6 MPa. This is sufficiently close to the measured value, 15.2 MPa, to confirm that the greater part of the difference in measured strength is accounted for by difference of stressed area. Powerful evidence of the effect of stressed area on shell behaviour was the observation that an 0.8 mm diameter hole drilled near the equator of the egg had no effect on the fracture pressure. The small effective stressed area round the hole raised the fracture strength by a factor greater than the stress concentration factor, so fracture occurred at a site away from the hole.
Author Reddy, T. Y.
Entwistle, K. M.
Author_xml – sequence: 1
  givenname: K. M.
  surname: Entwistle
  fullname: Entwistle, K. M.
  organization: Manchester Materials Science Centre, University of Manchester/UMIST, Grosvenor Street, Manchester M1 7HS, U. K
– sequence: 2
  givenname: T. Y.
  surname: Reddy
  fullname: Reddy, T. Y.
  organization: Department of Mechanical Engineering, UMIST, PO Box 88, Sackville street, Manchester M60 1QD, U. K
BookMark eNp9Uk1v1DAUtFCR2BauHDjlD2Sx4_jrhGDbpUUVrNrSHp-cxNlkSePI9lK2vx5nA5VWiJ6sp5l5b2bkY3TU294g9JbgOcFKvnd-KOZEKT7HmLMXaEZyQdJMsfwIzbDiWSpzlr1Cx95vMMaKSTZDVzeNSZZOl2HrTHIdnOnXoUm2fWVcctEH43rdJStnvB8Jtk5CFJyt174xXfd3PrX3xoe2TJb2oXuNXta68-bNn_cEfV-e3SzO08tvny8WHy_TkuV5SHUhFS2LmnMsNRE1FrysZJEVmuZCkEqICGdVrY0w0uiC5IZVFStkqYhgsqInaD7tLZ313pkaBtfea7cDgmFsBMZGYGwExkaiwE8CZ3fRmC1bE3awsdsxo4er69WnSMY_M05bQrkCLCnBnEiq4LEd9utGAkQCtLEQA3va4Zl_r9Lnrv7X67tJtfHBuqdkDItsBNMJbH0wv55A7X4AF1QwuJU53H29_YLvTlewiHwy8Zt23Ty0zsCBlzgMzhf7WPtAOaVR8-FZzWi3tPGD9OFACPW262CoavobuwXOYw
CitedBy_id crossref_primary_10_1016_j_tws_2024_112192
crossref_primary_10_1515_ijfe_2015_0220
crossref_primary_10_1016_j_actbio_2016_04_028
crossref_primary_10_1016_j_injury_2014_12_019
crossref_primary_10_1007_s00170_022_10395_w
crossref_primary_10_1016_j_polymer_2014_10_060
crossref_primary_10_1098_rsif_2016_0804
crossref_primary_10_1007_s10704_006_9018_5
crossref_primary_10_1016_j_apor_2021_102890
crossref_primary_10_11118_actaun200755010129
crossref_primary_10_1666_0094_8373_2005_031_0315_MRPOSI_2_0_CO_2
crossref_primary_10_1007_s11837_021_04690_2
crossref_primary_10_1093_ps_85_11_2001
Cites_doi 10.1098/rspb.1995.0192
10.1098/rspb.1986.0025
ContentType Journal Article
Copyright Copyright 1996 The Royal Society
Scanned images copyright © 2017, Royal Society
Copyright_xml – notice: Copyright 1996 The Royal Society
– notice: Scanned images copyright © 2017, Royal Society
DBID BSCLL
AAYXX
CITATION
DOI 10.1098/rspb.1996.0065
DatabaseName Istex
CrossRef
DatabaseTitle CrossRef
DatabaseTitleList



DeliveryMethod fulltext_linktorsrc
Discipline Sciences (General)
Biology
EISSN 1471-2954
EndPage 438
ExternalDocumentID 10_1098_rspb_1996_0065
50725
ark_67375_V84_WNVJ0WDP_C
royprsb_263_1369_433
GroupedDBID -
02
08R
0R
0VX
36Y
3O-
4.4
53G
55
5RE
85S
8WZ
A6W
ABBHK
ABFLS
ABPTK
ACIWK
ACMKX
ACNCT
ACPRK
ADBBV
ADBIT
ADULT
ADZLD
AEUPB
AFRAH
ALMA_UNASSIGNED_HOLDINGS
AS
BGBPD
COF
CS3
DCCCD
DIK
DNJUQ
DOOOF
DWIUU
EBS
EJD
F5P
FRP
GJ
H13
HGD
HQ3
HTVGU
HZ
JLS
JPM
JSG
JSODD
JST
K-O
KQ8
MVM
O9-
OP1
RHF
RPM
RRY
SA0
V1E
X
X7M
ZXP
---
-~X
.55
.GJ
0R~
AACGO
AANCE
AANZV
ABIEJ
ABPLY
ABTLG
ABXSQ
ACQIA
ADACV
ADIYS
AEXZC
AJZGM
ALMYZ
AQVQM
AS~
BSCLL
BTFSW
HZ~
IPSME
JAAYA
JBMMH
JENOY
JHFFW
JKQEH
JLXEF
MRS
OK1
~02
AEQTP
AAYXX
CITATION
ID FETCH-LOGICAL-c544t-ab893cbf6608a17f076cd8b2ba34771d7793c2dfae7e8eab14e5dd5b8c91758d3
IEDL.DBID JSG
ISSN 0962-8452
IngestDate Thu Sep 26 19:47:02 EDT 2024
Wed Jan 17 02:37:37 EST 2024
Tue May 24 16:18:40 EDT 2022
Sun Sep 22 05:19:17 EDT 2024
Wed Oct 30 09:58:11 EDT 2024
Tue Jan 05 21:30:11 EST 2021
Mon May 06 10:38:55 EDT 2019
IsPeerReviewed true
IsScholarly true
Issue 1369
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c544t-ab893cbf6608a17f076cd8b2ba34771d7793c2dfae7e8eab14e5dd5b8c91758d3
Notes ark:/67375/V84-WNVJ0WDP-C
istex:7DD28D60C715863BD08378E50FC24B8B30E22C57
This text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR.
PageCount 6
ParticipantIDs highwire_royalsociety_royprsb_263_1369_433
jstor_primary_50725
istex_primary_ark_67375_V84_WNVJ0WDP_C
crossref_primary_10_1098_rspb_1996_0065
royalsociety_journals_RSPB1990v263i1369_0831061839_zip_rspb1990_263_issue_1369_rspb_1996_0065_rspb_1996_0065
royalsociety_journals_10_1098_rspb_1996_0065
ProviderPackageCode RHF
PublicationCentury 1900
PublicationDate 1996-04-22
PublicationDateYYYYMMDD 1996-04-22
PublicationDate_xml – month: 04
  year: 1996
  text: 1996-04-22
  day: 22
PublicationDecade 1990
PublicationPlace London
PublicationPlace_xml – name: London
PublicationTitle Proceedings of the Royal Society. B, Biological sciences
PublicationTitleAbbrev Proc. R. Soc. Lond. B
PublicationTitleAlternate Proc. R. Soc. Lond. B
PublicationYear 1996
Publisher The Royal Society
Publisher_xml – name: The Royal Society
References Davies D. G. S. (p_1) 1973; 22
(p_5) 1951; 18
p_2
p_4
p_3
References_xml – ident: p_2
  doi: 10.1098/rspb.1995.0192
– volume: 18
  start-page: 293
  year: 1951
  ident: p_5
  article-title: A statistical distribution function of wide applicability. J.appl
  publication-title: Mech.
– ident: p_3
– volume: 22
  start-page: 429
  year: 1973
  ident: p_1
  article-title: Statistical approach to engineering design in ceramics
  publication-title: Proc. Brit. Ceram. Soc.
  contributor:
    fullname: Davies D. G. S.
– ident: p_4
  doi: 10.1098/rspb.1986.0025
SSID ssj0009585
Score 1.6022358
Snippet Measurements are reported of the internal fluid pressure needed to fracture the shell of the egg of the domestic fowl. The average fracture stress, calculated...
Measurements are reported of the internal fluid pressure needed to fracture the shell of the egg of the domestic fowl. The average fracture stress, calculated...
SourceID crossref
royalsociety
jstor
istex
highwire
SourceType Aggregation Database
Enrichment Source
Publisher
StartPage 433
SubjectTerms Arithmetic mean
Eggs
Eggshells
Embryogenesis
Fracture strength
Internal pressure
Residual stress
Surface areas
Tensile stress
Test methods
Title The Fracture Strength under Internal Pressure of the Eggshell of the Domestic Fowl
URI http://rspb.royalsocietypublishing.org/content/263/1369/433.abstract
https://api.istex.fr/ark:/67375/V84-WNVJ0WDP-C/fulltext.pdf
https://www.jstor.org/stable/50725
https://royalsocietypublishing.org/doi/full/10.1098/rspb.1996.0065
Volume 263
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3da9swED-WwmAv25ptzPsoYox9MVNHli35sW2SlT6U0mzt3oT14bQsS4Kd7KN_fXWyHdzRwh4FZ_mk86GffL-7A3ib6wwDaiJMrUpDDBiGuS6SULNcUKazjFvMHT6c8OPvYjjCMjlv2lwYpFV6XqCP4juApGZ212EWmvSgJ7zrHU2-dMrq-qabDoc7v2YJ3ZRlFLvuWqgwFw-DDXh0dI-dthSwQ6S4mX9aMqI7fUq8tVc1Y7Jz0owf_Y-Oj-FhgyPJXm34bbhn5324X3eW_NuH7cZnK_KhKSz98Qmcum-CjDEtal1agvHo-XR1QTCNrCTNr8EZqRMGncCiIA4dktF0WiFbtB0PFz-xMocm48Xv2VP4Nh59PTgMm54KoU4YW4W5cgBFqyJNI5EPeBHxVBuhqMpjxvnAcOevmpoit9wKm6sBs4kxiRLa3esSYeJnsDVfzO1zIAa7AUYai75RFguRaVMMTKE4tZQqRgN43265XNalM2Qd8hYSjSPROBKNE8Cn1iKyu_84WJaVkjSNpXtNJlkcByDuEMY5keCP7Ym7T0iMZMilKQJ45829UScvfyCxjSfyTDB5fnx2FJ0PT-RBAH1v4I2gt24An2-8sPH26s5VzW4XP52c7Dup6JdT8tIr6du9pQhW5dXl0s-DAn4V3v_qtdyc_5_hi1t1fgkPap45Cyl9BVurcm1fQ68y6x1Pf93x_nQNx9obEw
link.rule.ids 315,782,786,808,811,27933,27934,58025,58037,58258,58270
linkProvider JSTOR
linkToHtml http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3rb9MwED-xIcS-ACsgwtNCiMdEtNRxYucjrK0KjGraxsY3K36kmyhtlbS8_np8TlJ1aJP4aOninH05-efc7-4AXuQ6w4CaCFOr0hADhmGuiyTULBeU6SzjFnOHh0d89FX0-lgm53mbC4O0Ss8L9FF8B5DUxO46zEKTDbieiCjmNW1vrbCub7vpkLjzbJbQVWFGsesuhgqz8TDcgIfH-sHTFgN2mBS381dLR3TnT4n39qrmTK6dNYPb_6PlHbjVIEnyrjb9Nlyz0w7cqHtL_u7AduO1FXndlJZ-cxcO3VdBBpgYtSwtwYj0dLw4I5hIVpLm5-CE1CmDTmBWEIcPSX88rpAv2o57s-9Ym0OTwezn5B58GfSP94Zh01Uh1AljizBXDqJoVaRpJPIuLyKeaiMUVXnMOO8a7jxWU1Pkllthc9VlNjEmUUK7m10iTHwfNqezqX0AxGA_wEhj2TfKYiEybYquKRSnllLFaACv2i2X87p4hqyD3kKicSQaR6JxAthpLSLX9x8H87JSkqaxdK_JJIvjAMQVwjgnUvyxQfH6ExJjGXJuigBeenOv1MnLb0ht44k8EUyejk4-Rqe9A7kXQMcbeCXorRvA2wsvbPy9unJVk8vFD48O3jup6IdT8twr6Ru-pQhX5Z_zuZ8HBfwqvAfWa7k4_z_Dh5fq_AxuDo8_78v9D6NPj2CrZp2zkNLHsLkol_YJbFRm-dR71V85gx1s
linkToPdf http://sdu.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3rb9MwED-xIRBfgBUQ4ekPaDxE1NRxYucjrK3GQ1W1wcY3K36kTJS2Slpefz0-J6kytEl8tHSxz_75dOfcC-BZrjN0qIkwtSoN0WEY5rpIQs1yQZnOMm4xd_jwmE--iOEIy-Tst7kwGFbp4wK9F98ZSGpu-ytT9J3dQpMduJq4J42oOwN0iuv61pvOGnfSzRK6Lc4o-u5xqDAjD10OqEC6yqctCOzsUjzSX21IotNBJb7dqzpusqNvxrf-l9PbcLOxKMmb-grswRW76MG1usfk7x7sNdJbkRdNiemXd-DI3Q4yxgSpTWkJeqYXs_VXggllJWl-Es5JnTroCJYFcXYiGc1mFcaNtuPh8jvW6NBkvPw5vwufx6NPB4dh010h1Alj6zBXzlTRqkjTSOQDXkQ81UYoqvKYcT4w3EmupqbILbfC5mrAbGJMooR2L7xEmPge7C6WC3sfiMG-gJHG8m-UxUJk2hQDUyhOLaWK0QCet8cuV3URDVk7v4VEgCQCJBGgAF61qMguBjhYlZWSNI2lWyaTLI4DEJcQ45wY6o-NirtfSPRpSAdSAPse8i07efkNQ9x4Ik8Ek6eTk_fR6XAqDwLoeZC3hB7dAF6fW7CR--rSXc0vJj86nr51VNEPx-SZZ9I3fkvRbJV_zlZ-HiTwu_CSWO_l_Pz_DB9cyPNTuD4djuXHd5MPD-FGHXzOQkofwe663NjHsFOZzRMvWH8BUXof5Q
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=The+Fracture+Strength+under+Internal+Pressure+of+the+Eggshell+of+the+Domestic+Fowl&rft.jtitle=Proceedings+of+the+Royal+Society.+B%2C+Biological+sciences&rft.au=Entwistle%2C+K.+M.&rft.au=Reddy%2C+T.+Y.&rft.date=1996-04-22&rft.pub=The+Royal+Society&rft.issn=0962-8452&rft.volume=263&rft.issue=1369&rft.spage=433&rft.epage=438&rft_id=info:doi/10.1098%2Frspb.1996.0065&rft.externalDocID=50725
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0962-8452&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0962-8452&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0962-8452&client=summon