Fractional Order Viscoelastic Model for Stress Relaxation of Polyvinyl Chloride Geomembranes
Stress relaxation properties have a significant impact on the performance of polyvinyl chloride (PVC) geomembranes (GMBs) at the peripheral joints of the membrane faced rockfill dam (MFRD). This paper presents a fractional order viscoelastic model (FOVM) to measure the relaxation stress as a functio...
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MDPI AG
2023-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/3/1582 |
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| author | Yunyun Wu Chunjie Yin Xianlei Zhang Xiaoyu Gu |
| author_facet | Yunyun Wu Chunjie Yin Xianlei Zhang Xiaoyu Gu |
| author_sort | Yunyun Wu |
| collection | DOAJ |
| description | Stress relaxation properties have a significant impact on the performance of polyvinyl chloride (PVC) geomembranes (GMBs) at the peripheral joints of the membrane faced rockfill dam (MFRD). This paper presents a fractional order viscoelastic model (FOVM) to measure the relaxation stress as a function of time. Model parameters were obtained by best fit to results from wide-width strip tensile tests conducted at three tensile rates and three initial strains for 48 h. The results of a 90 d stress relaxation test demonstrate the applicability of the model to describe the stress relaxation behavior of PVC GMBs. The tensile rate and initial strain marginally influenced the relaxation modulus rate, while having no effects on the fractional derivative order. Residual stress could account for the difference in relaxation stress between the longitudinal and transverse specimens. Finally, the FOVM could be used for predicting the service cycle under specifying failure stress criteria. Furthermore, it has great potential for applications in predicting the long-term deformation of PVC GMBs at the peripheral joints of MFRD. Furthermore, it has great potential for applications in predicting the long-term deformation of PVC GMBs at the peripheral joints of MFRD. |
| first_indexed | 2024-03-11T09:52:56Z |
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| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T09:52:56Z |
| publishDate | 2023-01-01 |
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| spelling | doaj.art-5d1173ad99c64e1491c3e1b5e3c3112f2023-11-16T16:07:35ZengMDPI AGApplied Sciences2076-34172023-01-01133158210.3390/app13031582Fractional Order Viscoelastic Model for Stress Relaxation of Polyvinyl Chloride GeomembranesYunyun Wu0Chunjie Yin1Xianlei Zhang2Xiaoyu Gu3College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, ChinaSchool of Water Conservancy, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaSchool of Water Conservancy, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaSchool of Water Conservancy, North China University of Water Resources and Electric Power, Zhengzhou 450045, ChinaStress relaxation properties have a significant impact on the performance of polyvinyl chloride (PVC) geomembranes (GMBs) at the peripheral joints of the membrane faced rockfill dam (MFRD). This paper presents a fractional order viscoelastic model (FOVM) to measure the relaxation stress as a function of time. Model parameters were obtained by best fit to results from wide-width strip tensile tests conducted at three tensile rates and three initial strains for 48 h. The results of a 90 d stress relaxation test demonstrate the applicability of the model to describe the stress relaxation behavior of PVC GMBs. The tensile rate and initial strain marginally influenced the relaxation modulus rate, while having no effects on the fractional derivative order. Residual stress could account for the difference in relaxation stress between the longitudinal and transverse specimens. Finally, the FOVM could be used for predicting the service cycle under specifying failure stress criteria. Furthermore, it has great potential for applications in predicting the long-term deformation of PVC GMBs at the peripheral joints of MFRD. Furthermore, it has great potential for applications in predicting the long-term deformation of PVC GMBs at the peripheral joints of MFRD.https://www.mdpi.com/2076-3417/13/3/1582geosyntheticsPVC geomembranestress relaxationfractional order viscoelastic model |
| spellingShingle | Yunyun Wu Chunjie Yin Xianlei Zhang Xiaoyu Gu Fractional Order Viscoelastic Model for Stress Relaxation of Polyvinyl Chloride Geomembranes Applied Sciences geosynthetics PVC geomembrane stress relaxation fractional order viscoelastic model |
| title | Fractional Order Viscoelastic Model for Stress Relaxation of Polyvinyl Chloride Geomembranes |
| title_full | Fractional Order Viscoelastic Model for Stress Relaxation of Polyvinyl Chloride Geomembranes |
| title_fullStr | Fractional Order Viscoelastic Model for Stress Relaxation of Polyvinyl Chloride Geomembranes |
| title_full_unstemmed | Fractional Order Viscoelastic Model for Stress Relaxation of Polyvinyl Chloride Geomembranes |
| title_short | Fractional Order Viscoelastic Model for Stress Relaxation of Polyvinyl Chloride Geomembranes |
| title_sort | fractional order viscoelastic model for stress relaxation of polyvinyl chloride geomembranes |
| topic | geosynthetics PVC geomembrane stress relaxation fractional order viscoelastic model |
| url | https://www.mdpi.com/2076-3417/13/3/1582 |
| work_keys_str_mv | AT yunyunwu fractionalorderviscoelasticmodelforstressrelaxationofpolyvinylchloridegeomembranes AT chunjieyin fractionalorderviscoelasticmodelforstressrelaxationofpolyvinylchloridegeomembranes AT xianleizhang fractionalorderviscoelasticmodelforstressrelaxationofpolyvinylchloridegeomembranes AT xiaoyugu fractionalorderviscoelasticmodelforstressrelaxationofpolyvinylchloridegeomembranes |