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Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation

Mokarram Hossain Orcid Logo, Paul Steinmann

Computational Mechanics, Volume: 53, Issue: 4, Pages: 777 - 787

Swansea University Author: Mokarram Hossain Orcid Logo

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DOI (Published version): 10.1007/s00466-013-0929-5

Abstract

A physically-based small strain curing model has been developed and discussed in our previous contribution (Hossain et al. in Comput Mech 43:769–779, 2009a) which was extended later for finite strain elasticity and viscoelasticity including shrinkage in Hossain et al. (Comput Mech 44(5):621–630, 200...

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Published in: Computational Mechanics
ISSN: 0178-7675 1432-0924
Published: Springer Berlin Heidelberg Springer-Verlag 2014
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URI: https://cronfa.swan.ac.uk/Record/cronfa39638
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spelling 2018-04-30T11:04:12.1187125 v2 39638 2018-04-30 Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation 140f4aa5c5ec18ec173c8542a7fddafd 0000-0002-4616-1104 Mokarram Hossain Mokarram Hossain true false 2018-04-30 GENG A physically-based small strain curing model has been developed and discussed in our previous contribution (Hossain et al. in Comput Mech 43:769–779, 2009a) which was extended later for finite strain elasticity and viscoelasticity including shrinkage in Hossain et al. (Comput Mech 44(5):621–630, 2009b) and in Hossain et al. (Comput Mech 46(3):363–375, 2010), respectively. The previously proposed constitutive models for curing processes are based on the temporal evolution of the material parameters, namely the shear modulus and the relaxation time (in the case of viscoelasticity). In the current paper, a thermodynamically consistent small strain constitutive model is formulated that is directly based on the degree of cure, a key parameter in the curing (reaction) kinetics. The new formulation is also in line with the earlier proposed hypoelastic approach. The curing process of polymers is a complex phenomenon involving a series of chemical reactions which transform a viscoelastic fluid into a viscoelastic solid during which the temperature, the chemistry and the mechanics are coupled. Part I of this work will deal with an isothermal viscoelastic formulation including shrinkage effects whereas the following Part II will give emphasis on the thermomechanical coupled approach. Some representative numerical examples conclude the paper and show the capability of the newly proposed constitutive formulation to capture major phenomena observed during the curing processes of polymers. Journal Article Computational Mechanics 53 4 777 787 Springer-Verlag Springer Berlin Heidelberg 0178-7675 1432-0924 Curing, Degree of cure, Viscoelasticity, Stiffness increase, Cure-dependent model, Volume shrinkage 1 10 2014 2014-10-01 10.1007/s00466-013-0929-5 https://link.springer.com/article/10.1007%2Fs00466-013-0929-5 COLLEGE NANME General Engineering COLLEGE CODE GENG Swansea University 2018-04-30T11:04:12.1187125 2018-04-30T11:03:53.6790954 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - General Engineering Mokarram Hossain 0000-0002-4616-1104 1 Paul Steinmann 2
title Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation
spellingShingle Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation
Mokarram Hossain
title_short Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation
title_full Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation
title_fullStr Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation
title_full_unstemmed Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation
title_sort Degree of cure-dependent modelling for polymer curing processes at small-strain. Part I: consistent reformulation
author_id_str_mv 140f4aa5c5ec18ec173c8542a7fddafd
author_id_fullname_str_mv 140f4aa5c5ec18ec173c8542a7fddafd_***_Mokarram Hossain
author Mokarram Hossain
author2 Mokarram Hossain
Paul Steinmann
format Journal article
container_title Computational Mechanics
container_volume 53
container_issue 4
container_start_page 777
publishDate 2014
institution Swansea University
issn 0178-7675
1432-0924
doi_str_mv 10.1007/s00466-013-0929-5
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%2Fs00466-013-0929-5
document_store_str 0
active_str 0
description A physically-based small strain curing model has been developed and discussed in our previous contribution (Hossain et al. in Comput Mech 43:769–779, 2009a) which was extended later for finite strain elasticity and viscoelasticity including shrinkage in Hossain et al. (Comput Mech 44(5):621–630, 2009b) and in Hossain et al. (Comput Mech 46(3):363–375, 2010), respectively. The previously proposed constitutive models for curing processes are based on the temporal evolution of the material parameters, namely the shear modulus and the relaxation time (in the case of viscoelasticity). In the current paper, a thermodynamically consistent small strain constitutive model is formulated that is directly based on the degree of cure, a key parameter in the curing (reaction) kinetics. The new formulation is also in line with the earlier proposed hypoelastic approach. The curing process of polymers is a complex phenomenon involving a series of chemical reactions which transform a viscoelastic fluid into a viscoelastic solid during which the temperature, the chemistry and the mechanics are coupled. Part I of this work will deal with an isothermal viscoelastic formulation including shrinkage effects whereas the following Part II will give emphasis on the thermomechanical coupled approach. Some representative numerical examples conclude the paper and show the capability of the newly proposed constitutive formulation to capture major phenomena observed during the curing processes of polymers.
published_date 2014-10-01T03:50:23Z
_version_ 1763752461843038208
score 11.012678

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