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Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model

Mokarram Hossain Orcid Logo

Archives of Mechanics, Volume: 63, Issue: 5-6, Pages: 621 - 633

Swansea University Author: Mokarram Hossain Orcid Logo

Abstract

A phenomenologically motivated small strain model and a finite strain generalframework to simulate the curing process of polymer have been developed anddiscussed in our recently published papers [1, 2, 3, 4]. In order to illustrate the capabilityof the finite strain framework proposed earlier, only...

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Published in: Archives of Mechanics
Published: Warsaw Polish Academy of Sciences 2011
Online Access: http://am.ippt.pan.pl/am/article/view/v63p621
URI: https://cronfa.swan.ac.uk/Record/cronfa38897
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Abstract: A phenomenologically motivated small strain model and a finite strain generalframework to simulate the curing process of polymer have been developed anddiscussed in our recently published papers [1, 2, 3, 4]. In order to illustrate the capabilityof the finite strain framework proposed earlier, only the micromechanicallyinspired21-chain model and the phenomenologically motivated Neo-Hookean model(energy function) have been demonstrated so far. The Arruda–Boyce model (wellknownas the 8-chain model in the elastic case and Bergström–Boyce model [5, 14] inthe viscoelastic case) is a prototype hyperelastic model for polymeric materials. Thisfollow-up contribution presents an extension of the Arruda–Boyce model [6] towardsmodelling the curing process of polymers. The necessary details, i.e. the stress tensorand the tangent operator, for the numerical implementation within the finite elementmethod, are derived. The curing process of polymers is a complicated process wherea series of chemical reactions have been activated, which will convert low molecularweight monomer solutions into more or less cross-linked solid macromolecularstructures via the chemical conversion. This paper will model the elastic behaviourand shrinkage effects of the polymer curing process in the isothermal case using theArruda–Boyce model. Several numerical examples have been demonstrated to verifyour newly proposed, modified approach in case of curing process.
Keywords: Curing, polymer, finite strain, elasticity, Arruda–Boyce model
College: College of Engineering
Issue: 5-6
Start Page: 621
End Page: 633