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

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

doi:10.1016/j.ijsolstr.2014.08.015

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

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

Mechanical and Industrial Engr

Research output: Contribution to journal › Article › peer-review

160 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 language	English (US)
Pages (from-to)	1-18
Number of pages	18
Journal	International Journal of Solids and Structures
Volume	52
DOIs	https://doi.org/10.1016/j.ijsolstr.2014.08.015
State	Published - 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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10.1016/j.ijsolstr.2014.08.015

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title = "A finite element implementation of a coupled diffusion-deformation theory for elastomeric gels",

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.",

keywords = "Diffusion, Elastomeric materials, Finite elements, Gels, Large deformations",

author = "Chester, {Shawn A.} and {Di Leo}, {Claudio V.} and Lallit Anand",

note = "Funding Information: The financial support provided by a grant from the National Science Foundation ( CMMI-1063626 ) is gratefully acknowledged. Also, SAC gratefully acknowledges Suvrat P. Lele as a mentor who provided initial guidance in programming UEL subroutines for ABAQUS, and Kaspar Loeffel for finding many of the initial flaws in his code. Publisher Copyright: {\textcopyright} 2014 Elsevier Ltd.",

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doi = "10.1016/j.ijsolstr.2014.08.015",

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AU - Chester, Shawn A.

AU - Di Leo, Claudio V.

AU - Anand, Lallit

N1 - Funding Information: The financial support provided by a grant from the National Science Foundation ( CMMI-1063626 ) is gratefully acknowledged. Also, SAC gratefully acknowledges Suvrat P. Lele as a mentor who provided initial guidance in programming UEL subroutines for ABAQUS, and Kaspar Loeffel for finding many of the initial flaws in his code. Publisher Copyright: © 2014 Elsevier Ltd.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

KW - Diffusion

KW - Elastomeric materials

KW - Finite elements

KW - Gels

KW - Large deformations

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JO - International Journal of Solids and Structures

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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