Modeling and application of temperature-dependent elastic constants in continuous fiber-reinforced shape memory polymer composites
The mechanical properties of continuous fiber-reinforced shape memory polymer composites (SMPCs) exhibit a pronounced temperature dependence. However, exiting models for elastic constants are not specifically developed for SMPCs. In this study, analytical models based on a revised Eshelby's inc...
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Elsevier
2025-09-01
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| Series: | Polymer Testing |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0142941825001965 |
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| author | Jiajun Chen Chen Du Wenwu Zhang Penghui Zhu Qinghu Wang Xiongqi Peng |
| author_facet | Jiajun Chen Chen Du Wenwu Zhang Penghui Zhu Qinghu Wang Xiongqi Peng |
| author_sort | Jiajun Chen |
| collection | DOAJ |
| description | The mechanical properties of continuous fiber-reinforced shape memory polymer composites (SMPCs) exhibit a pronounced temperature dependence. However, exiting models for elastic constants are not specifically developed for SMPCs. In this study, analytical models based on a revised Eshelby's inclusion theory are developed to predict the temperature-dependent longitudinal, transverse, and flexural moduli of SMPCs. Experimental data from the literature, covering SMPCs with various fiber volume fractions (4.32 %, 6.36 % and 12.97 %), are used to validate the proposed models. Validation results show high predictive accuracy for flexural modulus across all fiber content systems, while predictions for longitudinal and transverse moduli exhibit limitations at the high fiber contents (12.97 %). To overcome these constraints, a refined Rule of Mixtures for longitudinal modulus and a revised Chamis model for transverse modulus are introduced. Further numerical investigations on several classic micromechanical models reveal that the revised Chamis formulation effectively captures the temperature-dependent evolution of shear modulus. Furthermore, by incorporating the concept of storage strain, these analytical models are implemented into the commercial finite element software ABAQUS via the UMAT subroutine, enabling finite element simulation of SMPC shape memory cycles. The recovery stress under different constraining strain is also numerically investigated. Overall, the results demonstrate the developed model's capability to predict the temperature-dependent elastic constants and shape memory behavior of SMPCs. This framework bridges critical gaps between micromechanical theory and macroscale SMPC performance, providing a robust tool for multi-physics-coupled smart structure design. |
| format | Article |
| id | doaj-art-76d23ae75eb24a9f8aeb4df643e79ccb |
| institution | DOAJ |
| issn | 1873-2348 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Polymer Testing |
| spelling | doaj-art-76d23ae75eb24a9f8aeb4df643e79ccb2025-08-20T02:58:30ZengElsevierPolymer Testing1873-23482025-09-0115010888210.1016/j.polymertesting.2025.108882Modeling and application of temperature-dependent elastic constants in continuous fiber-reinforced shape memory polymer compositesJiajun Chen0Chen Du1Wenwu Zhang2Penghui Zhu3Qinghu Wang4Xiongqi Peng5School of Materials Science and Engineering and State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai, 200030, ChinaSchool of Materials Science and Engineering and State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai, 200030, ChinaSchool of Materials Science and Engineering and State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai, 200030, ChinaSchool of Materials Science and Engineering and State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai, 200030, ChinaCorresponding author.; School of Materials Science and Engineering and State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai, 200030, ChinaCorresponding author.; School of Materials Science and Engineering and State Key Laboratory of Metal Matrix Composites, Shanghai Jiao Tong University, Shanghai, 200030, ChinaThe mechanical properties of continuous fiber-reinforced shape memory polymer composites (SMPCs) exhibit a pronounced temperature dependence. However, exiting models for elastic constants are not specifically developed for SMPCs. In this study, analytical models based on a revised Eshelby's inclusion theory are developed to predict the temperature-dependent longitudinal, transverse, and flexural moduli of SMPCs. Experimental data from the literature, covering SMPCs with various fiber volume fractions (4.32 %, 6.36 % and 12.97 %), are used to validate the proposed models. Validation results show high predictive accuracy for flexural modulus across all fiber content systems, while predictions for longitudinal and transverse moduli exhibit limitations at the high fiber contents (12.97 %). To overcome these constraints, a refined Rule of Mixtures for longitudinal modulus and a revised Chamis model for transverse modulus are introduced. Further numerical investigations on several classic micromechanical models reveal that the revised Chamis formulation effectively captures the temperature-dependent evolution of shear modulus. Furthermore, by incorporating the concept of storage strain, these analytical models are implemented into the commercial finite element software ABAQUS via the UMAT subroutine, enabling finite element simulation of SMPC shape memory cycles. The recovery stress under different constraining strain is also numerically investigated. Overall, the results demonstrate the developed model's capability to predict the temperature-dependent elastic constants and shape memory behavior of SMPCs. This framework bridges critical gaps between micromechanical theory and macroscale SMPC performance, providing a robust tool for multi-physics-coupled smart structure design.http://www.sciencedirect.com/science/article/pii/S0142941825001965Fiber-reinforced shape memory polymer compositesTemperature-dependent elastic constantsAnalytical modelFinite element simulation |
| spellingShingle | Jiajun Chen Chen Du Wenwu Zhang Penghui Zhu Qinghu Wang Xiongqi Peng Modeling and application of temperature-dependent elastic constants in continuous fiber-reinforced shape memory polymer composites Polymer Testing Fiber-reinforced shape memory polymer composites Temperature-dependent elastic constants Analytical model Finite element simulation |
| title | Modeling and application of temperature-dependent elastic constants in continuous fiber-reinforced shape memory polymer composites |
| title_full | Modeling and application of temperature-dependent elastic constants in continuous fiber-reinforced shape memory polymer composites |
| title_fullStr | Modeling and application of temperature-dependent elastic constants in continuous fiber-reinforced shape memory polymer composites |
| title_full_unstemmed | Modeling and application of temperature-dependent elastic constants in continuous fiber-reinforced shape memory polymer composites |
| title_short | Modeling and application of temperature-dependent elastic constants in continuous fiber-reinforced shape memory polymer composites |
| title_sort | modeling and application of temperature dependent elastic constants in continuous fiber reinforced shape memory polymer composites |
| topic | Fiber-reinforced shape memory polymer composites Temperature-dependent elastic constants Analytical model Finite element simulation |
| url | http://www.sciencedirect.com/science/article/pii/S0142941825001965 |
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