Applied Mathematics and Mechanics >
Thermodynamic constitutive modeling for analyzing the consistencies and differences of intelligent responses induced by thermo-elastic-viscoplastic couplings
Received date: 2025-12-22
Revised date: 2026-05-11
Online published: 2026-06-30
Supported by
Project supported by the National Natural Science Foundation of China (No. 12372071)
Copyright
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.
Hao DUAN , W. M. HUANG , Hao ZENG , Jianping GU , Huiyu SUN . Thermodynamic constitutive modeling for analyzing the consistencies and differences of intelligent responses induced by thermo-elastic-viscoplastic couplings[J]. Applied Mathematics and Mechanics, 2026 , 47(7) : 1533 -1548 . DOI: 10.1007/s10483-026-3409-7
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