Fractional derivative-based normalized viscoelastic model of strain-hardening clays
Introduction: The stress-strain relationship of clays characterized by strain hardening exhibits varying curves under different confining pressures and dry densities.Methods: Considering the viscoelastic properties of clays, a normalized viscoelastic model of strain-hardening clay was established ba...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-02-01
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| Series: | Frontiers in Materials |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fmats.2024.1338251/full |
| _version_ | 1797305236223688704 |
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| author | Yin Tang Peng Wang Peng Wang Peng Ren Hua Zhang |
| author_facet | Yin Tang Peng Wang Peng Wang Peng Ren Hua Zhang |
| author_sort | Yin Tang |
| collection | DOAJ |
| description | Introduction: The stress-strain relationship of clays characterized by strain hardening exhibits varying curves under different confining pressures and dry densities.Methods: Considering the viscoelastic properties of clays, a normalized viscoelastic model of strain-hardening clay was established based on fractional derivatives, and normalization factors were proposed.Results: The experimental results showed that the stress-strain relationship of the clay was strain hardening. It shows that Chengdu clay has better normalization conditions. Furthermore, the normalized analysis of this clay through the viscoelastic normalization model revealed that the straight line of normalized data displayed a goodness-of-fit of over 0.98. The obtained values were consistent with experimental results, suggesting the reasonability of the normalized strain-hardening parameters and elastic moduli.Discussion: In addition, the superiority of the developed model was verified by testing the strain-hardening clays in Wuhan, China and Bangkok, Thailand. After analyzing the strain-hardening parameters and normalization factors of our model, it was found that the slope of the normalized line can accurately reflect the strain-hardening ability of the clay. These findings demonstrated that the proposed normalization factor is preferred for a normalized viscoelastic model. It shows that the model proposed in this paper has clearer physical meaning and advancement. |
| first_indexed | 2024-03-08T00:22:04Z |
| format | Article |
| id | doaj.art-8537da4fc0f64a1eaaaaca787a1efd3b |
| institution | Directory Open Access Journal |
| issn | 2296-8016 |
| language | English |
| last_indexed | 2024-03-08T00:22:04Z |
| publishDate | 2024-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Materials |
| spelling | doaj.art-8537da4fc0f64a1eaaaaca787a1efd3b2024-02-16T04:58:44ZengFrontiers Media S.A.Frontiers in Materials2296-80162024-02-011110.3389/fmats.2024.13382511338251Fractional derivative-based normalized viscoelastic model of strain-hardening claysYin Tang0Peng Wang1Peng Wang2Peng Ren3Hua Zhang4Geotechnical Engineering Institute, Sichuan Institute of Building Research, Chengdu, ChinaGeotechnical Engineering Institute, Sichuan Institute of Building Research, Chengdu, ChinaSchool of Architecture and Civil Engineering, Chengdu University, Chengdu, ChinaGeotechnical Engineering Institute, Sichuan Institute of Building Research, Chengdu, ChinaSchool of Architecture and Civil Engineering, Chengdu University, Chengdu, ChinaIntroduction: The stress-strain relationship of clays characterized by strain hardening exhibits varying curves under different confining pressures and dry densities.Methods: Considering the viscoelastic properties of clays, a normalized viscoelastic model of strain-hardening clay was established based on fractional derivatives, and normalization factors were proposed.Results: The experimental results showed that the stress-strain relationship of the clay was strain hardening. It shows that Chengdu clay has better normalization conditions. Furthermore, the normalized analysis of this clay through the viscoelastic normalization model revealed that the straight line of normalized data displayed a goodness-of-fit of over 0.98. The obtained values were consistent with experimental results, suggesting the reasonability of the normalized strain-hardening parameters and elastic moduli.Discussion: In addition, the superiority of the developed model was verified by testing the strain-hardening clays in Wuhan, China and Bangkok, Thailand. After analyzing the strain-hardening parameters and normalization factors of our model, it was found that the slope of the normalized line can accurately reflect the strain-hardening ability of the clay. These findings demonstrated that the proposed normalization factor is preferred for a normalized viscoelastic model. It shows that the model proposed in this paper has clearer physical meaning and advancement.https://www.frontiersin.org/articles/10.3389/fmats.2024.1338251/fullclaystrain hardeningviscoelasticitynormalized modelfractional derivative |
| spellingShingle | Yin Tang Peng Wang Peng Wang Peng Ren Hua Zhang Fractional derivative-based normalized viscoelastic model of strain-hardening clays Frontiers in Materials clay strain hardening viscoelasticity normalized model fractional derivative |
| title | Fractional derivative-based normalized viscoelastic model of strain-hardening clays |
| title_full | Fractional derivative-based normalized viscoelastic model of strain-hardening clays |
| title_fullStr | Fractional derivative-based normalized viscoelastic model of strain-hardening clays |
| title_full_unstemmed | Fractional derivative-based normalized viscoelastic model of strain-hardening clays |
| title_short | Fractional derivative-based normalized viscoelastic model of strain-hardening clays |
| title_sort | fractional derivative based normalized viscoelastic model of strain hardening clays |
| topic | clay strain hardening viscoelasticity normalized model fractional derivative |
| url | https://www.frontiersin.org/articles/10.3389/fmats.2024.1338251/full |
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