Applied Mathematics and Mechanics (English Edition) ›› 2026, Vol. 47 ›› Issue (7): 1533-1548.doi: https://doi.org/10.1007/s10483-026-3409-7

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

Hao DUAN1, W. M. HUANG2, Hao ZENG3, Jianping GU4, Huiyu SUN1,()   

  1. 1.State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
    2.School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Singapore
    3.School of Physical and Mathematical Sciences, Nanjing Tech University, Nanjing 211800, China
    4.Jiangsu Key Laboratory of Advanced Structural Materials and Application Technology, School of Materials Science and Engineering, Nanjing Institute of Technology, Nanjing 211167, China
  • Received:2025-12-22 Revised:2026-05-11 Published:2026-06-30
  • Contact: Huiyu SUN, E-mail: hysun@nuaa.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (No. 12372071)

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.

Key words: intelligent response, hyperelasticity-viscoelasticity, elasto-viscoplasticity, thermodynamic constitutive modeling

2010 MSC Number: 

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