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A finite strain framework for the simulation of polymer curing. Part II. Viscoelasticity and shrinkage

Mokarram Hossain Orcid Logo

Computational Mechanics, Volume: 46, Issue: 3, Pages: 363 - 375

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1007/s00466-010-0479-z

Abstract

A phenomenologically inspired, elastic finite strain framework to simulate the curing of polymers has been developed and discussed in the first part (Hossain et al. in Comput Mech 44(5):621–630, 2009) of this work. The present contribution provides an extension of the previous simulation concept tow...

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Published in: Computational Mechanics
ISSN: 0178-7675 1432-0924
Published: Berlin Springer-Verlag 2010
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URI: https://cronfa.swan.ac.uk/Record/cronfa38896
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spelling 2018-02-27T16:41:33.8837061 v2 38896 2018-02-27 A finite strain framework for the simulation of polymer curing. Part II. Viscoelasticity and shrinkage 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2018-02-27 GENG A phenomenologically inspired, elastic finite strain framework to simulate the curing of polymers has been developed and discussed in the first part (Hossain et al. in Comput Mech 44(5):621–630, 2009) of this work. The present contribution provides an extension of the previous simulation concept towards the consideration of viscoelastic effects and the phenomenon of curing shrinkage. The proposed approach is particularly independent of the type of the free energy density, i.e. any phenomenologically or micromechanically based viscoelastic polymer model can be utilised. For both cases the same representatives that have been used for the elastic curing models, i.e. the Neo-Hookean model and the 21-chain microsphere model, are reviewed and extended accordingly. The governing equations are derived as well as the corresponding tangent operators necessary for the numerical implementation within the finite element method. Furthermore, we investigate two different approaches—a shrinkage strain function and a multiplicative decomposition of the deformation gradient–to capture the phenomenon of curing shrinkage, i.e. the volume reduction induced by the polymerisation reaction which may lead to significant residual stresses and strains in the fully cured material. Some representative numerical examples conclude this work and prove the capability of our approach to correctly capture inelastic behaviour and shrinkage effects in polymers undergoing curing processes. Journal Article Computational Mechanics 46 3 363 375 Springer-Verlag Berlin 0178-7675 1432-0924 Polymers, Curing, Finite strains, Viscoelasticity, Shrinkage 1 8 2010 2010-08-01 10.1007/s00466-010-0479-z https://link.springer.com/article/10.1007/s00466-010-0479-z COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2018-02-27T16:41:33.8837061 2018-02-27T16:41:33.8837061 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 II. Viscoelasticity and shrinkage
spellingShingle A finite strain framework for the simulation of polymer curing. Part II. Viscoelasticity and shrinkage
Mokarram Hossain
title_short A finite strain framework for the simulation of polymer curing. Part II. Viscoelasticity and shrinkage
title_full A finite strain framework for the simulation of polymer curing. Part II. Viscoelasticity and shrinkage
title_fullStr A finite strain framework for the simulation of polymer curing. Part II. Viscoelasticity and shrinkage
title_full_unstemmed A finite strain framework for the simulation of polymer curing. Part II. Viscoelasticity and shrinkage
title_sort A finite strain framework for the simulation of polymer curing. Part II. Viscoelasticity and shrinkage
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 46
container_issue 3
container_start_page 363
publishDate 2010
institution Swansea University
issn 0178-7675
1432-0924
doi_str_mv 10.1007/s00466-010-0479-z
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/s00466-010-0479-z
document_store_str 0
active_str 0
description A phenomenologically inspired, elastic finite strain framework to simulate the curing of polymers has been developed and discussed in the first part (Hossain et al. in Comput Mech 44(5):621–630, 2009) of this work. The present contribution provides an extension of the previous simulation concept towards the consideration of viscoelastic effects and the phenomenon of curing shrinkage. The proposed approach is particularly independent of the type of the free energy density, i.e. any phenomenologically or micromechanically based viscoelastic polymer model can be utilised. For both cases the same representatives that have been used for the elastic curing models, i.e. the Neo-Hookean model and the 21-chain microsphere model, are reviewed and extended accordingly. The governing equations are derived as well as the corresponding tangent operators necessary for the numerical implementation within the finite element method. Furthermore, we investigate two different approaches—a shrinkage strain function and a multiplicative decomposition of the deformation gradient–to capture the phenomenon of curing shrinkage, i.e. the volume reduction induced by the polymerisation reaction which may lead to significant residual stresses and strains in the fully cured material. Some representative numerical examples conclude this work and prove the capability of our approach to correctly capture inelastic behaviour and shrinkage effects in polymers undergoing curing processes.
published_date 2010-08-01T03:49:20Z
_version_ 1763752396471664640
score 11.037056

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