A Finite Element Implementation of a Coupled Diffusion-Deformation Theory for Elastomeric Gels
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Chester_DiLeo_Anand_IJSS_2015_dspace.pdf
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Author(s) • •
Chester, Shawn A.
Di Leo, Claudio V
Anand, Lallit
Date Issued
August 2014
Journal
International Journal of Solids and Structures
Publisher
Elsevier B.V.
Citation
Chester, Shawn A., Claudio V. Di Leo, and Lallit Ananad. "A finite element implementation of a coupled diffusion-deformation theory for elastomeric gels." International Journal of Solids and Structures Vol. 52, 1 January 2015, Pages 1-18.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/j.ijsolstr.2014.08.015