Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (2): 273-288.doi: https://doi.org/10.1007/s10483-023-2964-7

• 论文 • 上一篇    下一篇

Transient swelling-induced finite bending of hydrogel-based bilayers: analytical and FEM approaches

A. AMIRI, M. BANIASSADI, M. BAGHANI   

  1. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran 1417466191, Iran
  • 收稿日期:2022-02-20 修回日期:2022-11-01 发布日期:2023-02-04
  • 通讯作者: M. BAGHANI, E-mail: baghani@ut.ac.ir

Transient swelling-induced finite bending of hydrogel-based bilayers: analytical and FEM approaches

A. AMIRI, M. BANIASSADI, M. BAGHANI   

  1. School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran 1417466191, Iran
  • Received:2022-02-20 Revised:2022-11-01 Published:2023-02-04
  • Contact: M. BAGHANI, E-mail: baghani@ut.ac.ir

摘要: Hydrogels with their time-dependent intrinsic behaviors have recently been used widely in soft structures as sensors/actuators. One of the most interesting structures is the bilayer made up of hydrogels which may undergo swelling-induced bending. In this work, by proposing a semi-analytical method, the transient bending of hydrogel-based bilayers is investigated. Utilizing nonlinear solid mechanics, a robust semi-analytical solution is developed which captures the transient finite bending of hydrogel-based bilayers. Moreover, the multiphysics model of the hydrogels is implemented in the finite element method (FEM) framework to verify the developed semi-analytical procedure results. The effects of different material properties are investigated to illustrate the nonlinear behavior of these structures. The von-Mises stress contour extracted from FEM shows that the critical area of these soft structures is at the interface of the layers which experiences the maximum stress, and this area is most likely to rupture in large deformations.

关键词: hydrogel, transient swelling, bilayer, multiphysics, finite bending

Abstract: Hydrogels with their time-dependent intrinsic behaviors have recently been used widely in soft structures as sensors/actuators. One of the most interesting structures is the bilayer made up of hydrogels which may undergo swelling-induced bending. In this work, by proposing a semi-analytical method, the transient bending of hydrogel-based bilayers is investigated. Utilizing nonlinear solid mechanics, a robust semi-analytical solution is developed which captures the transient finite bending of hydrogel-based bilayers. Moreover, the multiphysics model of the hydrogels is implemented in the finite element method (FEM) framework to verify the developed semi-analytical procedure results. The effects of different material properties are investigated to illustrate the nonlinear behavior of these structures. The von-Mises stress contour extracted from FEM shows that the critical area of these soft structures is at the interface of the layers which experiences the maximum stress, and this area is most likely to rupture in large deformations.

Key words: hydrogel, transient swelling, bilayer, multiphysics, finite bending

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals