A finite element implementation of a coupled diffusion-deformation theory for elastomeric gels. (1st January 2015)

• Record Type: Journal Article
• Authors: Chester, Shawn A.; Di Leo, Claudio V.; Anand, Lallit
• Is Part Of: International journal of solids and structures. Volume 52(2015)
• Page Start: 1
• Page End: 18
• Publication Date: 2015-01-01
• Subjects: Elastomeric materials -- Gels -- Diffusion -- Large deformations -- Finite elements; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2014.08.015
• Languages: English
• ISSNs: 0020-7683

Abstract

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.