Journal article 743 views
Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model
Mokarram Hossain 
Archives of Mechanics, Volume: 63, Issue: 5-6, Pages: 621 - 633
Swansea University Author:
Mokarram Hossain
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...
| Published in: | Archives of Mechanics |
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| Published: |
Warsaw
Polish Academy of Sciences
2011
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| 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. |
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| Keywords: |
Curing, polymer, finite strain, elasticity, Arruda–Boyce model |
| College: |
Faculty of Science and Engineering |
| Issue: |
5-6 |
| Start Page: |
621 |
| End Page: |
633 |