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A finite strain framework for the simulation of polymer curing. Part I: elasticity

Mokarram Hossain Orcid Logo

Computational Mechanics, Volume: 44, Issue: 5, Pages: 621 - 630

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1007/s00466-009-0397-0

Abstract

A phenomenologically motivated small strain model to simulate the curing of thermosets has been developed and discussed in a recently published paper (Hossain et al. in Comput Mech 43(6):769–779, 2009). Inspired by the concepts used there, this follow-up contribution presents an extension towards th...

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Published in: Computational Mechanics
ISSN: 0178-7675 1432-0924
Published: Berlin Springer-Verlag 2009
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URI: https://cronfa.swan.ac.uk/Record/cronfa38895
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spelling 2018-02-27T16:37:00.4740548 v2 38895 2018-02-27 A finite strain framework for the simulation of polymer curing. Part I: elasticity 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2018-02-27 GENG A phenomenologically motivated small strain model to simulate the curing of thermosets has been developed and discussed in a recently published paper (Hossain et al. in Comput Mech 43(6):769–779, 2009). Inspired by the concepts used there, this follow-up contribution presents an extension towards the finite strain regime. The thermodynamically consistent framework proposed here for the simulation of curing polymers particularly is independent of the choice of the free energy density, i.e. any phenomenological or micromechanical approach can be utilised. Both the governing equations for the curing simulation framework and the necessary details for the numerical implementation within the finite element method are derived. The curing of polymers is a very complex process involving a series of chemical reactions typically resulting in a conversion of low molecular weight monomer solutions into more or less cross-linked solid macromolecular structures. A material undergoing such a transition can be modelled by using an appropriate constitutive relation that is distinguished by prescribed temporal evolutions of its governing material parameters, which have to be determined experimentally. Part I of this work will deal with the elastic framework whereas the following Part II will focus on viscoelastic behaviour and shrinkage effects. Some numerical examples demonstrate the capability of our approach to correctly reproduce the behaviour of curing materials. Journal Article Computational Mechanics 44 5 621 630 Springer-Verlag Berlin 0178-7675 1432-0924 Curing, Polymer, Finite strains, Elasticity 1 10 2009 2009-10-01 10.1007/s00466-009-0397-0 https://link.springer.com/article/10.1007/s00466-009-0397-0 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2018-02-27T16:37:00.4740548 2018-02-27T16:37:00.4740548 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering Mokarram Hossain 0000-0002-4616-1104 1
title A finite strain framework for the simulation of polymer curing. Part I: elasticity
spellingShingle A finite strain framework for the simulation of polymer curing. Part I: elasticity
Mokarram Hossain
title_short A finite strain framework for the simulation of polymer curing. Part I: elasticity
title_full A finite strain framework for the simulation of polymer curing. Part I: elasticity
title_fullStr A finite strain framework for the simulation of polymer curing. Part I: elasticity
title_full_unstemmed A finite strain framework for the simulation of polymer curing. Part I: elasticity
title_sort A finite strain framework for the simulation of polymer curing. Part I: elasticity
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Mokarram Hossain
format Journal article
container_title Computational Mechanics
container_volume 44
container_issue 5
container_start_page 621
publishDate 2009
institution Swansea University
issn 0178-7675
1432-0924
doi_str_mv 10.1007/s00466-009-0397-0
publisher Springer-Verlag
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering
url https://link.springer.com/article/10.1007/s00466-009-0397-0
document_store_str 0
active_str 0
description A phenomenologically motivated small strain model to simulate the curing of thermosets has been developed and discussed in a recently published paper (Hossain et al. in Comput Mech 43(6):769–779, 2009). Inspired by the concepts used there, this follow-up contribution presents an extension towards the finite strain regime. The thermodynamically consistent framework proposed here for the simulation of curing polymers particularly is independent of the choice of the free energy density, i.e. any phenomenological or micromechanical approach can be utilised. Both the governing equations for the curing simulation framework and the necessary details for the numerical implementation within the finite element method are derived. The curing of polymers is a very complex process involving a series of chemical reactions typically resulting in a conversion of low molecular weight monomer solutions into more or less cross-linked solid macromolecular structures. A material undergoing such a transition can be modelled by using an appropriate constitutive relation that is distinguished by prescribed temporal evolutions of its governing material parameters, which have to be determined experimentally. Part I of this work will deal with the elastic framework whereas the following Part II will focus on viscoelastic behaviour and shrinkage effects. Some numerical examples demonstrate the capability of our approach to correctly reproduce the behaviour of curing materials.
published_date 2009-10-01T03:49:20Z
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score 11.012678

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