A finite element implementation of a coupled diffusion-deformation theory for elastomeric gels

Shawn A. Chester, Claudio V. Di Leo, Lallit Anand

Research output: Contribution to journalArticlepeer-review

103 Scopus citations

Abstract

The theory of Chester and Anand (2011) for fluid diffusion and large deformations of elastomeric gels is implemented as a user-defined element (UEL) subroutine in the commercial finite element software package ABAQUS. A specialized form of the constitutive equations and the governing partial differential equations of the theory are summarized, and the numerical implementation is described in detail. To demonstrate the robustness of the numerical implementation a few illustrative numerical simulation examples for axisymmetric, plane strain, and three-dimensional geometries are shown. For educational purposes, and also to facilitate the numerical implementation of other coupled multiphysics theories, the source code for the UEL is provided as an online supplement to this paper.

Original languageEnglish (US)
Pages (from-to)1-18
Number of pages18
JournalInternational Journal of Solids and Structures
Volume52
DOIs
StatePublished - Jan 1 2015

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Keywords

  • Diffusion
  • Elastomeric materials
  • Finite elements
  • Gels
  • Large deformations

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