Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (1): 73-88.doi: https://doi.org/10.1007/s10483-023-2952-6

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An investigation on multilayer shape memory polymers under finite bending through nonlinear thermo-visco-hyperelasticity

A. BAKHTIYARI1, M. BAGHANI1, S. SOHRABPOUR2   

  1. 1. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran 1417935840, Iran;
    2. Department of Mechanical Engineering, Sharif University of Technology, Tehran 1458889694, Iran
  • Received:2022-08-16 Revised:2022-10-30 Online:2023-01-01 Published:2022-12-24
  • Contact: M. BAGHANI, E-mail: baghani@ut.ac.ir
  • Supported by:
    the Iran National Science Foundation (INSF) (No. 98027408)

Abstract: This study presents a semi-analytical solution to describe the behavior of shape memory polymers (SMPs) based on the nonlinear thermo-visco-hyperelasticity which originates from the concepts of internal state variables and rational thermodynamics. This method is developed for the finite bending of multilayers in a dual-shape memory effect (SME) cycle. The layer number and layering order are investigated for two different SMPs and a hyperelastic material. In addition to the semi-analytical solution, the finite element simulation is performed to verify the predicted results, where the outcomes demonstrate the excellent accuracy of the proposed solution for predicting the behavior of the multilayer SMPs. Since this method has a much lower computational cost than the finite element method (FEM), it can be used as an effective tool to analyze the SMP behavior under different conditions, including different materials, different geometries, different layer numbers, and different layer arrangements.

Key words: smart material, shape memory polymer (SMP), semi-analytical solution, thermo-visco-hyperelasticity, finite strain bending

2010 MSC Number: 

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