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...
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Published in: | Proceedings of the Royal Society. B, Biological sciences Vol. 263; no. 1369; pp. 433 - 438 |
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22-04-1996
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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. |
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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. |
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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 |
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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. |
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References | Davies D. G. S. (p_1) 1973; 22 (p_5) 1951; 18 p_2 p_4 p_3 |
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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... |
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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 |
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