Thermodynamic constitutive modeling for analyzing the consistencies and differences of intelligent responses induced by thermo-elastic-viscoplastic couplings.

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Title: Thermodynamic constitutive modeling for analyzing the consistencies and differences of intelligent responses induced by thermo-elastic-viscoplastic couplings.
Authors: Duan, Hao1 (AUTHOR), Huang, W. M.2 (AUTHOR), Zeng, Hao3 (AUTHOR), Gu, Jianping4 (AUTHOR), Sun, Huiyu1 (AUTHOR) hysun@nuaa.edu.cn
Source: Applied Mathematics & Mechanics. Jul2026, Vol. 47 Issue 7, p1533-1548. 16p.
Subjects: Shape memory polymers, Viscoelasticity, Smart materials, Material plasticity
Abstract: Through appropriate thermo-mechanical stimulation, shape memory polymers (SMPs) can exhibit autonomous shape-morphing capabilities, which are referred to as entropic elastic (EE) or reversible plastic (RP) intelligent responses. Currently, few studies in the literature address unified constitutive modeling for these two types of intelligent responses, and thermodynamic consistency is lacking. Here, we develop a unified thermodynamically consistent constitutive model that captures hyperelastic-viscoelastic and elasto-viscoplastic couplings, thereby reproducing both the EE and RP intelligent responses. Through verification against experimental data and results from subsequent mechanistic and parametric studies, the constitutive model can not only integrate the theoretical representations of these two phenomena into a mathematical framework, but also reveal the consistencies and differences between the two types of intelligent responses. [ABSTRACT FROM AUTHOR]
Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Through appropriate thermo-mechanical stimulation, shape memory polymers (SMPs) can exhibit autonomous shape-morphing capabilities, which are referred to as entropic elastic (EE) or reversible plastic (RP) intelligent responses. Currently, few studies in the literature address unified constitutive modeling for these two types of intelligent responses, and thermodynamic consistency is lacking. Here, we develop a unified thermodynamically consistent constitutive model that captures hyperelastic-viscoelastic and elasto-viscoplastic couplings, thereby reproducing both the EE and RP intelligent responses. Through verification against experimental data and results from subsequent mechanistic and parametric studies, the constitutive model can not only integrate the theoretical representations of these two phenomena into a mathematical framework, but also reveal the consistencies and differences between the two types of intelligent responses. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Applied Mathematics & Mechanics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10483-026-3409-7
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        Text: English
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      – SubjectFull: Smart materials
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              M: 07
              Text: Jul2026
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              Y: 2026
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