Vol. 15, No. 3, 2020

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3D phase-evolution-based thermomechanical constitutive model of shape memory polymer with finite element implementation

Yunxin Li, Ruoxuan Liu, Zishun Liu and Somsak Swaddiwudhipong

Vol. 15 (2020), No. 3, 291–306
Abstract

Shape memory polymers (SMPs) are a class of smart materials which can undergo transition between two different states (temporary shape and permanent state) induced by external stimuli, such as temperature, light etc. In order to study the deformation behavior of this fast-developing SMP structures, the key points are formulating suitable theoretical constitutive models to correctly reflect the material behavior and developing appropriate numerical simulation techniques to handle complex structures. In this paper, we proposed a three-dimensional (3D) thermomechanical constitutive model of SMPs and its implementation as a user material subroutine, UMAT, in a finite element package ABAQUS. The shape memory effects of the SMPs under three different loading patterns are simulated by the proposed approach and the acquired numerical results are compared with theoretical computational results and available experimental data. They agree reasonably well. Two SMP structural examples are presented to demonstrate the feasibility of the proposed approach. The exercises involve the analyses of (i) an intelligent hexachiral deployable structure and (ii) a 3D self-folding structure achieved through a 2D plate.

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Keywords
shape memory polymer, constitutive model, finite element method
Milestones
Received: 31 December 2019
Revised: 21 April 2020
Accepted: 14 May 2020
Published: 12 July 2020
Authors
Yunxin Li
International Center for Applied Mechanics
State Key Laboratory for Strength and Vibration of Mechanical Structures
Xi’an Jiaotong University
Xi’an, 710049
China
Institute of Chemical Materials
CAEP
Mianyang 621999
China
Ruoxuan Liu
International Center for Applied Mechanics
State Key Laboratory for Strength and Vibration of Mechanical Structures
Xi’an Jiaotong University
Xi’an, 710049
China
Zishun Liu
International Center for Applied Mechanics
State Key Laboratory for Strength and Vibration of Mechanical Structures
Xi’an Jiaotong University
Xi’an, 710049
China
Somsak Swaddiwudhipong
Department of Civil and Environmental Engineering
National University of Singapore
Singapore 117576
Singapore