Acta Mechanica Solida Sinica

, Volume 31, Issue 2, pp 141–160 | Cite as

Thermo-Mechanically Coupled Thermo-Elasto-Visco-Plastic Modeling of Thermo-Induced Shape Memory Polyurethane at Finite Deformation

  • Jian Li
  • Qian-hua Kan
  • Ze-bin Zhang
  • Guo-zheng Kang
  • Wenyi Yan


A series of monotonic tensile experiments of thermo-induced shape memory polyurethane (TSMPU) at different loading rates were carried out to investigate the interaction between the internal heat production and the mechanical deformation. It is shown that the temperature variation on the surfaces of the specimens due to the internal heat production affects the mechanical properties of TSMPU remarkably. Then, based on irreversible thermodynamics, the Helmholtz free energy was decomposed into three parts, i.e., the instantaneous elastic free energy, visco-plastic free energy and heat free energy. The total deformation gradient was decomposed into the mechanical and thermal parts, and the mechanical deformation gradient was further divided into the elastic and visco-plastic components. The Hencky’s logarithmic strain was used in the current configuration. The heat equilibrium equation of internal heat production and heat exchange was derived in accordance with the first and second thermodynamics laws. The temperature of specimens was contributed by the internal heat production and the ambient temperature simultaneously, and a thermo-mechanically coupled thermo-elasto-visco-plastic model was established. The effect of temperature variation of specimens on the mechanical properties of the material was considered in this work. Finally, the capability of the proposed model was validated by comparing the simulated results with the corresponding experimental data of TSMPU.


Shape memory polyurethane Thermo-mechanical coupling Rate dependence Internal heat production Finite deformation 



Financial supports by National Natural Science Foundation of China (11572265, 11202171), Excellent Youth Found of Sichuan Province (2017JQ0019), Open Project of Traction Power State Key Laboratory (TPL1606) and Exploration Project of Traction Power State Key Laboratory (2017TPL_T04) are acknowledged.


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2018

Authors and Affiliations

  • Jian Li
    • 1
  • Qian-hua Kan
    • 1
  • Ze-bin Zhang
    • 2
  • Guo-zheng Kang
    • 1
  • Wenyi Yan
    • 3
  1. 1.State Key Laboratory of Traction PowerSouthwest Jiaotong UniversityChengduChina
  2. 2.Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and EngineeringSouthwest Jiaotong UniversityChengduChina
  3. 3.Department of Mechanical and Aerospace EngineeringMonash UniversityClaytonAustralia

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