Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis

A more generalized approach for predicting the steady-state creep rate of ceramic fibers under extensive stress ranges is proposed. Creep rate equations derived from dimensional analysis, such as Almeida's creep equation and Arrhenius’ creep equation, were evaluated using Buckingham's meth...

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Main Authors: Berman, Renan Belli, Almeida, Renato Saint Martin, Mohamed Ariff, Azmah Hanim, de Pieri, Edson Roberto, Al-Qureshi, Hazim Ali
Format: Article
Language:English
Published: John Wiley and Sons 2025
Subjects:
Online Access:http://psasir.upm.edu.my/id/eprint/118502/
http://psasir.upm.edu.my/id/eprint/118502/1/118502.pdf
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author Berman, Renan Belli
Almeida, Renato Saint Martin
Mohamed Ariff, Azmah Hanim
de Pieri, Edson Roberto
Al-Qureshi, Hazim Ali
author_facet Berman, Renan Belli
Almeida, Renato Saint Martin
Mohamed Ariff, Azmah Hanim
de Pieri, Edson Roberto
Al-Qureshi, Hazim Ali
author_sort Berman, Renan Belli
building UPM Institutional Repository
collection Online Access
description A more generalized approach for predicting the steady-state creep rate of ceramic fibers under extensive stress ranges is proposed. Creep rate equations derived from dimensional analysis, such as Almeida's creep equation and Arrhenius’ creep equation, were evaluated using Buckingham's method, and the corresponding π groups were determined. Subsequently, a new equation is proposed using the usual semi-empirical constants for the diffusional and power law creep phenomena, along with an additional power law exponent to account for changes in creep mechanisms at higher stresses. The proposed equation was used to fit the creep rate data of the fiber Nextel 720 at various temperatures and constant stress, which demonstrated a good fit with an adjusted R-squared of.96. Subsequently, the equation was used to predict the creep rate at constant temperature and various stresses, exhibiting an adjusted R-squared of.77 and.85, depending on the scatter of the used data. The predictive results of the proposed equation were then compared to those obtained using the Arrhenius creep equation, which tends to higher rates at high stresses. In summary, the novel equation can be more efficiently applied in predicting the creep rate of ceramic fibers across a broader spectrum of stress.A more generalized approach for predicting the steady‐state creep rate of ceramic fibers under extensive stress ranges is proposed. Creep rate equations derived from dimensional analysis, such as Almeida's creep equation and Arrhenius’ creep equation, were evaluated using Buckingham's method, and the corresponding π groups were determined. Subsequently, a new equation is proposed using the usual semi‐empirical constants for the diffusional and power law creep phenomena, along with an additional power law exponent to account for changes in creep mechanisms at higher stresses. The proposed equation was used to fit the creep rate data of the fiber Nextel 720 at various temperatures and constant stress, which demonstrated a good fit with an adjusted R‐squared of .96. Subsequently, the equation was used to predict the creep rate at constant temperature and various stresses, exhibiting an adjusted R‐squared of .77 and .85, depending on the scatter of the used data. The predictive results of the proposed equation were then compared to those obtained using the Arrhenius creep equation, which tends to higher rates at high stresses. In summary, the novel equation can be more efficiently applied in predicting the creep rate of ceramic fibers across a broader spectrum of stress.
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institution Universiti Putra Malaysia
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language English
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publisher John Wiley and Sons
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spelling upm-1185022025-07-18T02:06:22Z http://psasir.upm.edu.my/id/eprint/118502/ Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis Berman, Renan Belli Almeida, Renato Saint Martin Mohamed Ariff, Azmah Hanim de Pieri, Edson Roberto Al-Qureshi, Hazim Ali A more generalized approach for predicting the steady-state creep rate of ceramic fibers under extensive stress ranges is proposed. Creep rate equations derived from dimensional analysis, such as Almeida's creep equation and Arrhenius’ creep equation, were evaluated using Buckingham's method, and the corresponding π groups were determined. Subsequently, a new equation is proposed using the usual semi-empirical constants for the diffusional and power law creep phenomena, along with an additional power law exponent to account for changes in creep mechanisms at higher stresses. The proposed equation was used to fit the creep rate data of the fiber Nextel 720 at various temperatures and constant stress, which demonstrated a good fit with an adjusted R-squared of.96. Subsequently, the equation was used to predict the creep rate at constant temperature and various stresses, exhibiting an adjusted R-squared of.77 and.85, depending on the scatter of the used data. The predictive results of the proposed equation were then compared to those obtained using the Arrhenius creep equation, which tends to higher rates at high stresses. In summary, the novel equation can be more efficiently applied in predicting the creep rate of ceramic fibers across a broader spectrum of stress.A more generalized approach for predicting the steady‐state creep rate of ceramic fibers under extensive stress ranges is proposed. Creep rate equations derived from dimensional analysis, such as Almeida's creep equation and Arrhenius’ creep equation, were evaluated using Buckingham's method, and the corresponding π groups were determined. Subsequently, a new equation is proposed using the usual semi‐empirical constants for the diffusional and power law creep phenomena, along with an additional power law exponent to account for changes in creep mechanisms at higher stresses. The proposed equation was used to fit the creep rate data of the fiber Nextel 720 at various temperatures and constant stress, which demonstrated a good fit with an adjusted R‐squared of .96. Subsequently, the equation was used to predict the creep rate at constant temperature and various stresses, exhibiting an adjusted R‐squared of .77 and .85, depending on the scatter of the used data. The predictive results of the proposed equation were then compared to those obtained using the Arrhenius creep equation, which tends to higher rates at high stresses. In summary, the novel equation can be more efficiently applied in predicting the creep rate of ceramic fibers across a broader spectrum of stress. John Wiley and Sons 2025-01 Article PeerReviewed text en cc_by_nc_4 http://psasir.upm.edu.my/id/eprint/118502/1/118502.pdf Berman, Renan Belli and Almeida, Renato Saint Martin and Mohamed Ariff, Azmah Hanim and de Pieri, Edson Roberto and Al-Qureshi, Hazim Ali (2025) Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis. International Journal of Applied Ceramic Technology, 22 (1). art. no. e14876. pp. 1-8. ISSN 1546-542X; eISSN: 1744-7402 https://ceramics.onlinelibrary.wiley.com/doi/10.1111/ijac.14876 Ceramic materials 10.1111/ijac.14876
spellingShingle Ceramic materials
Berman, Renan Belli
Almeida, Renato Saint Martin
Mohamed Ariff, Azmah Hanim
de Pieri, Edson Roberto
Al-Qureshi, Hazim Ali
Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis
title Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis
title_full Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis
title_fullStr Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis
title_full_unstemmed Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis
title_short Novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis
title_sort novel approach for predicting the creep behavior of ceramic fibers using dimensional analysis
topic Ceramic materials
url http://psasir.upm.edu.my/id/eprint/118502/
http://psasir.upm.edu.my/id/eprint/118502/
http://psasir.upm.edu.my/id/eprint/118502/
http://psasir.upm.edu.my/id/eprint/118502/1/118502.pdf