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318498

Error analysis and uncertainty evaluation for the determination of stress intensity factor by caustic

Article

Last updated: 28 Dec 2024

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Abstract

The determination of the stress intensity factor (SIF) is a critical aspect of fracture mechanics, providing valuable information about crack growth behavior and structural integrity. Caustic curve calculations are subject to errors and uncertainties. This research paper aims to provide a comprehensive review of error analysis in caustic curve calculations to reduce the errors in calculating SIF and hence the uncertainty estimation of the SIF calculation by caustic method. The determination of the stress intensity factor (SIF) is a critical aspect of fracture mechanics, providing valuable information about crack growth behavior and structural integrity. Caustic curve calculations are subject to errors and uncertainties. This research paper aims to provide a comprehensive review of error analysis in caustic curve calculations to reduce the errors in calculating SIF and hence the uncertainty estimation of the SIF calculation by caustic method. The uncertainty estimation was done for two methods for calculating SIF: the first method is measuring the diameter of the caustic curve, and the second is measuring the whole area. Regarding the sources of errors, it was found that the most effective source of error is the magnification ratio, followed by the thickness of the specimen; they have the highest sensitivity coefficients in the uncertainty budget. The calculated SIF by area reduced uncertainty from 1.73 to 0.945 Mpa mm-1/2, i.e., approximately 50%. It means that the method of calculating SIF by area is more accurate and precise than the method of measuring the whole diameter.

DOI

10.21608/jmsa.2023.318498

Keywords

Stress Intensity Factor, Caustic, uncertainty, Fracture mechanics

Authors

First Name

Mirham

Last Name

Barakat

MiddleName

A. Y.

Affiliation

Ultrasonic, National Institute of Standards, (NIS) Giza Egypt

Email

mirham.barakat@nis.sci.eg

City

-

Orcid

0000-0002-8273-1899

First Name

alshaimaa

Last Name

Abdallah

MiddleName

waheed

Affiliation

Line & End Secondary Standard., National Institute of Standards, (NIS) Giza Egypt

Email

alshaimaa.waheed@nis.sci.eg

City

-

Orcid

-

Volume

3

Article Issue

2

Related Issue

43603

Issue Date

2023-08-01

Receive Date

2023-08-29

Publish Date

2023-08-01

Print ISSN

2805-2536

Online ISSN

2805-2544

Link

https://jmsa.journals.ekb.eg/article_318498.html

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https://jmsa.journals.ekb.eg/service?article_code=318498

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318,498

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Original Article

Type Code

2,073

Publication Type

Journal

Publication Title

Journal of Measurement Science and Applications (JMSA)

Publication Link

https://jmsa.journals.ekb.eg/

MainTitle

Error analysis and uncertainty evaluation for the determination of stress intensity factor by caustic

Details

Type

Article

Created At

28 Dec 2024