No Cover Image

Journal article 413 views

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...

Full description

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
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2018-02-27T19:48:53Z
last_indexed 2018-02-27T19:48:53Z
id cronfa38897
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2018-02-27T16:47:27.0690989</datestamp><bib-version>v2</bib-version><id>38897</id><entry>2018-02-27</entry><title>Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda&#x2013;Boyce model</title><swanseaauthors><author><sid>140f4aa5c5ec18ec173c8542a7fddafd</sid><ORCID>0000-0002-4616-1104</ORCID><firstname>Mokarram</firstname><surname>Hossain</surname><name>Mokarram Hossain</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2018-02-27</date><deptcode>GENG</deptcode><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&#x2013;Boyce model (wellknownas the 8-chain model in the elastic case and Bergstr&#xF6;m&#x2013;Boyce model [5, 14] inthe viscoelastic case) is a prototype hyperelastic model for polymeric materials. Thisfollow-up contribution presents an extension of the Arruda&#x2013;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&#x2013;Boyce model. Several numerical examples have been demonstrated to verifyour newly proposed, modified approach in case of curing process.</abstract><type>Journal Article</type><journal>Archives of Mechanics</journal><volume>63</volume><journalNumber>5-6</journalNumber><paginationStart>621</paginationStart><paginationEnd>633</paginationEnd><publisher>Polish Academy of Sciences</publisher><placeOfPublication>Warsaw</placeOfPublication><isbnPrint/><isbnElectronic/><issnPrint/><issnElectronic/><keywords>Curing, polymer, finite strain, elasticity, Arruda&#x2013;Boyce model</keywords><publishedDay>1</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2011</publishedYear><publishedDate>2011-12-01</publishedDate><doi/><url>http://am.ippt.pan.pl/am/article/view/v63p621</url><notes/><college>COLLEGE NANME</college><department>General Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>GENG</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2018-02-27T16:47:27.0690989</lastEdited><Created>2018-02-27T16:47:27.0690989</Created><path><level id="1">College of Engineering</level><level id="2">Engineering</level></path><authors><author><firstname>Mokarram</firstname><surname>Hossain</surname><orcid>0000-0002-4616-1104</orcid><order>1</order></author></authors><documents/><OutputDurs/></rfc1807>
spelling 2018-02-27T16:47:27.0690989 v2 38897 2018-02-27 Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2018-02-27 GENG 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. Journal Article Archives of Mechanics 63 5-6 621 633 Polish Academy of Sciences Warsaw Curing, polymer, finite strain, elasticity, Arruda–Boyce model 1 12 2011 2011-12-01 http://am.ippt.pan.pl/am/article/view/v63p621 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2018-02-27T16:47:27.0690989 2018-02-27T16:47:27.0690989 College of Engineering Engineering Mokarram Hossain 0000-0002-4616-1104 1
title Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model
spellingShingle Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model
Mokarram Hossain
title_short Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model
title_full Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model
title_fullStr Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model
title_full_unstemmed Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model
title_sort Modelling and simulation of the curing process of polymers by a modified formulation of the Arruda–Boyce model
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Mokarram Hossain
format Journal article
container_title Archives of Mechanics
container_volume 63
container_issue 5-6
container_start_page 621
publishDate 2011
institution Swansea University
publisher Polish Academy of Sciences
college_str College of Engineering
hierarchytype
hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
url http://am.ippt.pan.pl/am/article/view/v63p621
document_store_str 0
active_str 0
description 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.
published_date 2011-12-01T03:52:52Z
_version_ 1737026512717086720
score 10.896665