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A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene
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Zeitschriftentitel: | Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences |
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In: | Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, 444, 1994, 1921, S. 267-285 |
Format: | E-Article |
Sprache: | Englisch |
veröffentlicht: |
The Royal Society
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Schlagwörter: |
spelling |
0962-8444 2053-9177 The Royal Society General Medicine http://dx.doi.org/10.1098/rspa.1994.0017 <jats:p> A numerical scheme is described that can predict the diffusion and swelling of solvents into a one-dimensional polymer slab. The work extends previous models of non-fickian diffusion and incorporates both generalized fickian diffusion and a concentration dependent viscoelastic response of the polymer. Depending on the relative magnitude of different parameters, both broad and sharp concentration profiles are predicted, together with linear or <jats:italic>t</jats:italic> <jats:sup>½</jats:sup> mass uptake kinetics. The model is found to successfully predict the experimentally determined mass uptake kinetics of ultra-high molecular mass polyethylene exposed to an organic solvent at low and high temperatures. Significant solvent loadings are observed with linear kinetics at low temperature and <jats:italic>t</jats:italic> <jats:sup>½</jats:sup> kinetics at higher temperatures. </jats:p> A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences |
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10.1098/rspa.1994.0017 |
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1994 |
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The Royal Society |
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Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences |
spellingShingle |
Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene General Medicine |
source_id |
49 |
title |
A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_unstemmed |
A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_full |
A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_fullStr |
A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_full_unstemmed |
A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_short |
A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_sort |
a general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
topic |
General Medicine |
url |
http://dx.doi.org/10.1098/rspa.1994.0017 |
publishDate |
1994 |
physical |
267-285 |
description |
<jats:p>
A numerical scheme is described that can predict the diffusion and swelling of solvents into a one-dimensional polymer slab. The work extends previous models of non-fickian diffusion and incorporates both generalized fickian diffusion and a concentration dependent viscoelastic response of the polymer. Depending on the relative magnitude of different parameters, both broad and sharp concentration profiles are predicted, together with linear or
<jats:italic>t</jats:italic>
<jats:sup>½</jats:sup>
mass uptake kinetics. The model is found to successfully predict the experimentally determined mass uptake kinetics of ultra-high molecular mass polyethylene exposed to an organic solvent at low and high temperatures. Significant solvent loadings are observed with linear kinetics at low temperature and
<jats:italic>t</jats:italic>
<jats:sup>½</jats:sup>
kinetics at higher temperatures.
</jats:p> |
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container_issue | 1921 |
container_start_page | 267 |
container_title | Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences |
container_volume | 444 |
description | <jats:p> A numerical scheme is described that can predict the diffusion and swelling of solvents into a one-dimensional polymer slab. The work extends previous models of non-fickian diffusion and incorporates both generalized fickian diffusion and a concentration dependent viscoelastic response of the polymer. Depending on the relative magnitude of different parameters, both broad and sharp concentration profiles are predicted, together with linear or <jats:italic>t</jats:italic> <jats:sup>½</jats:sup> mass uptake kinetics. The model is found to successfully predict the experimentally determined mass uptake kinetics of ultra-high molecular mass polyethylene exposed to an organic solvent at low and high temperatures. Significant solvent loadings are observed with linear kinetics at low temperature and <jats:italic>t</jats:italic> <jats:sup>½</jats:sup> kinetics at higher temperatures. </jats:p> |
doi_str_mv | 10.1098/rspa.1994.0017 |
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physical | 267-285 |
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publisher | The Royal Society |
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series | Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences |
source_id | 49 |
spelling | 0962-8444 2053-9177 The Royal Society General Medicine http://dx.doi.org/10.1098/rspa.1994.0017 <jats:p> A numerical scheme is described that can predict the diffusion and swelling of solvents into a one-dimensional polymer slab. The work extends previous models of non-fickian diffusion and incorporates both generalized fickian diffusion and a concentration dependent viscoelastic response of the polymer. Depending on the relative magnitude of different parameters, both broad and sharp concentration profiles are predicted, together with linear or <jats:italic>t</jats:italic> <jats:sup>½</jats:sup> mass uptake kinetics. The model is found to successfully predict the experimentally determined mass uptake kinetics of ultra-high molecular mass polyethylene exposed to an organic solvent at low and high temperatures. Significant solvent loadings are observed with linear kinetics at low temperature and <jats:italic>t</jats:italic> <jats:sup>½</jats:sup> kinetics at higher temperatures. </jats:p> A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences |
spellingShingle | Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences, A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene, General Medicine |
title | A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_full | A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_fullStr | A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_full_unstemmed | A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_short | A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_sort | a general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
title_unstemmed | A general model for the diffusion and swelling of polymers and its application to ultra-high molecular mass polyethylene |
topic | General Medicine |
url | http://dx.doi.org/10.1098/rspa.1994.0017 |