A simple method for modeling the concentration-dependent water sorption in reinforced polymeric materials

Transport problems have long been studied and appear in numerous physical situations: thermal conduction, flow through porous media, molecular diffusion, etc. In this paper, we are interested in the water sorption of a polymer matrix composite which exhibits a concentration and temperature dependent...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Composites. Part B, Engineering Engineering, 2014-02, Vol.57, p.219-227
Hauptverfasser: Joannès, S., Mazé, L., Bunsell, A.R.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 227
container_issue
container_start_page 219
container_title Composites. Part B, Engineering
container_volume 57
creator Joannès, S.
Mazé, L.
Bunsell, A.R.
description Transport problems have long been studied and appear in numerous physical situations: thermal conduction, flow through porous media, molecular diffusion, etc. In this paper, we are interested in the water sorption of a polymer matrix composite which exhibits a concentration and temperature dependent diffusivity. Since it is time consuming and difficult to measure, it is necessary to estimate the water uptake and the time required to reach saturation with an evolving hydro-thermal environment without using sophisticated tools. This study provides an easy-to-implement and practical tool based on a finite difference scheme to solve this non-linear and coupled problem. We focus on the concentration dependency and propose two ways to improve the local space accuracy and thus capture the induced high-gradient frontier. The present mono-dimensional approach can be easily extended to bi-dimensional cases. Some numerical examples are given to show the effectiveness of the scheme.
doi_str_mv 10.1016/j.compositesb.2013.10.004
format Article
fullrecord <record><control><sourceid>hal_cross</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_00905457v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S1359836813005799</els_id><sourcerecordid>oai_HAL_hal_00905457v1</sourcerecordid><originalsourceid>FETCH-LOGICAL-c385t-4e3fac80cc66359813828821be4752e307fcb19fe44d002db111a345428723c63</originalsourceid><addsrcrecordid>eNqNkLtOwzAUhi0EEqXwDmZgYEjwLYkzVhVQpEosMFuufUJdJXFkR0V9exwFVYxM5_b959g_QveU5JTQ8umQG98NProR4i5nhPLUzwkRF2hBZVVnlJT1Zcp5UWeSl_Ia3cR4IIkoOFsgt8LRdUMLuINx7y1ufMCdt9C6_guPe8DG9wb6MejR-T6zMEBvU42_9QgBRx-GaYBdjwO4PskNWDz49tRBcAZ3E-Z0G2_RVZMC3P3GJfp8ef5Yb7Lt--vberXNDJfFmAngjTaSGFOW6c2ScsmkZHQHoioYcFI1ZkfrBoSwhDC7o5RqLgrBZMW4KfkSPc5797pVQ3CdDifltVOb1VZNPUJqUoiiOtLE1jNrgo8xQHMWUKImf9VB_fFXTf5Oo-Re0j7M2kFHo9sm6N64eF7AqroWVPLErWcO0qePDoKKxkHy1LoAZlTWu39c-wHmL5gh</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A simple method for modeling the concentration-dependent water sorption in reinforced polymeric materials</title><source>Elsevier ScienceDirect Journals Complete</source><creator>Joannès, S. ; Mazé, L. ; Bunsell, A.R.</creator><creatorcontrib>Joannès, S. ; Mazé, L. ; Bunsell, A.R.</creatorcontrib><description>Transport problems have long been studied and appear in numerous physical situations: thermal conduction, flow through porous media, molecular diffusion, etc. In this paper, we are interested in the water sorption of a polymer matrix composite which exhibits a concentration and temperature dependent diffusivity. Since it is time consuming and difficult to measure, it is necessary to estimate the water uptake and the time required to reach saturation with an evolving hydro-thermal environment without using sophisticated tools. This study provides an easy-to-implement and practical tool based on a finite difference scheme to solve this non-linear and coupled problem. We focus on the concentration dependency and propose two ways to improve the local space accuracy and thus capture the induced high-gradient frontier. The present mono-dimensional approach can be easily extended to bi-dimensional cases. Some numerical examples are given to show the effectiveness of the scheme.</description><identifier>ISSN: 1359-8368</identifier><identifier>EISSN: 1879-1069</identifier><identifier>DOI: 10.1016/j.compositesb.2013.10.004</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>A. Polymer–matrix composites ; Applied sciences ; B. Environmental degradation ; C. Numerical analysis ; Crank–Nicolson scheme ; Engineering Sciences ; Exact sciences and technology ; Forms of application and semi-finished materials ; Laminates ; Materials ; Polymer industry, paints, wood ; Technology of polymers</subject><ispartof>Composites. Part B, Engineering, 2014-02, Vol.57, p.219-227</ispartof><rights>2013 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c385t-4e3fac80cc66359813828821be4752e307fcb19fe44d002db111a345428723c63</citedby><cites>FETCH-LOGICAL-c385t-4e3fac80cc66359813828821be4752e307fcb19fe44d002db111a345428723c63</cites><orcidid>0000-0002-9360-1643</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.compositesb.2013.10.004$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,780,784,885,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=27994183$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://minesparis-psl.hal.science/hal-00905457$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Joannès, S.</creatorcontrib><creatorcontrib>Mazé, L.</creatorcontrib><creatorcontrib>Bunsell, A.R.</creatorcontrib><title>A simple method for modeling the concentration-dependent water sorption in reinforced polymeric materials</title><title>Composites. Part B, Engineering</title><description>Transport problems have long been studied and appear in numerous physical situations: thermal conduction, flow through porous media, molecular diffusion, etc. In this paper, we are interested in the water sorption of a polymer matrix composite which exhibits a concentration and temperature dependent diffusivity. Since it is time consuming and difficult to measure, it is necessary to estimate the water uptake and the time required to reach saturation with an evolving hydro-thermal environment without using sophisticated tools. This study provides an easy-to-implement and practical tool based on a finite difference scheme to solve this non-linear and coupled problem. We focus on the concentration dependency and propose two ways to improve the local space accuracy and thus capture the induced high-gradient frontier. The present mono-dimensional approach can be easily extended to bi-dimensional cases. Some numerical examples are given to show the effectiveness of the scheme.</description><subject>A. Polymer–matrix composites</subject><subject>Applied sciences</subject><subject>B. Environmental degradation</subject><subject>C. Numerical analysis</subject><subject>Crank–Nicolson scheme</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Forms of application and semi-finished materials</subject><subject>Laminates</subject><subject>Materials</subject><subject>Polymer industry, paints, wood</subject><subject>Technology of polymers</subject><issn>1359-8368</issn><issn>1879-1069</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNqNkLtOwzAUhi0EEqXwDmZgYEjwLYkzVhVQpEosMFuufUJdJXFkR0V9exwFVYxM5_b959g_QveU5JTQ8umQG98NProR4i5nhPLUzwkRF2hBZVVnlJT1Zcp5UWeSl_Ia3cR4IIkoOFsgt8LRdUMLuINx7y1ufMCdt9C6_guPe8DG9wb6MejR-T6zMEBvU42_9QgBRx-GaYBdjwO4PskNWDz49tRBcAZ3E-Z0G2_RVZMC3P3GJfp8ef5Yb7Lt--vberXNDJfFmAngjTaSGFOW6c2ScsmkZHQHoioYcFI1ZkfrBoSwhDC7o5RqLgrBZMW4KfkSPc5797pVQ3CdDifltVOb1VZNPUJqUoiiOtLE1jNrgo8xQHMWUKImf9VB_fFXTf5Oo-Re0j7M2kFHo9sm6N64eF7AqroWVPLErWcO0qePDoKKxkHy1LoAZlTWu39c-wHmL5gh</recordid><startdate>20140201</startdate><enddate>20140201</enddate><creator>Joannès, S.</creator><creator>Mazé, L.</creator><creator>Bunsell, A.R.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-9360-1643</orcidid></search><sort><creationdate>20140201</creationdate><title>A simple method for modeling the concentration-dependent water sorption in reinforced polymeric materials</title><author>Joannès, S. ; Mazé, L. ; Bunsell, A.R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c385t-4e3fac80cc66359813828821be4752e307fcb19fe44d002db111a345428723c63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>A. Polymer–matrix composites</topic><topic>Applied sciences</topic><topic>B. Environmental degradation</topic><topic>C. Numerical analysis</topic><topic>Crank–Nicolson scheme</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>Forms of application and semi-finished materials</topic><topic>Laminates</topic><topic>Materials</topic><topic>Polymer industry, paints, wood</topic><topic>Technology of polymers</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Joannès, S.</creatorcontrib><creatorcontrib>Mazé, L.</creatorcontrib><creatorcontrib>Bunsell, A.R.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Composites. Part B, Engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Joannès, S.</au><au>Mazé, L.</au><au>Bunsell, A.R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A simple method for modeling the concentration-dependent water sorption in reinforced polymeric materials</atitle><jtitle>Composites. Part B, Engineering</jtitle><date>2014-02-01</date><risdate>2014</risdate><volume>57</volume><spage>219</spage><epage>227</epage><pages>219-227</pages><issn>1359-8368</issn><eissn>1879-1069</eissn><abstract>Transport problems have long been studied and appear in numerous physical situations: thermal conduction, flow through porous media, molecular diffusion, etc. In this paper, we are interested in the water sorption of a polymer matrix composite which exhibits a concentration and temperature dependent diffusivity. Since it is time consuming and difficult to measure, it is necessary to estimate the water uptake and the time required to reach saturation with an evolving hydro-thermal environment without using sophisticated tools. This study provides an easy-to-implement and practical tool based on a finite difference scheme to solve this non-linear and coupled problem. We focus on the concentration dependency and propose two ways to improve the local space accuracy and thus capture the induced high-gradient frontier. The present mono-dimensional approach can be easily extended to bi-dimensional cases. Some numerical examples are given to show the effectiveness of the scheme.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.compositesb.2013.10.004</doi><tpages>9</tpages><orcidid>https://orcid.org/0000-0002-9360-1643</orcidid></addata></record>
fulltext fulltext
identifier ISSN: 1359-8368
ispartof Composites. Part B, Engineering, 2014-02, Vol.57, p.219-227
issn 1359-8368
1879-1069
language eng
recordid cdi_hal_primary_oai_HAL_hal_00905457v1
source Elsevier ScienceDirect Journals Complete
subjects A. Polymer–matrix composites
Applied sciences
B. Environmental degradation
C. Numerical analysis
Crank–Nicolson scheme
Engineering Sciences
Exact sciences and technology
Forms of application and semi-finished materials
Laminates
Materials
Polymer industry, paints, wood
Technology of polymers
title A simple method for modeling the concentration-dependent water sorption in reinforced polymeric materials
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T02%3A18%3A01IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-hal_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20simple%20method%20for%20modeling%20the%20concentration-dependent%20water%20sorption%20in%20reinforced%20polymeric%20materials&rft.jtitle=Composites.%20Part%20B,%20Engineering&rft.au=Joann%C3%A8s,%20S.&rft.date=2014-02-01&rft.volume=57&rft.spage=219&rft.epage=227&rft.pages=219-227&rft.issn=1359-8368&rft.eissn=1879-1069&rft_id=info:doi/10.1016/j.compositesb.2013.10.004&rft_dat=%3Chal_cross%3Eoai_HAL_hal_00905457v1%3C/hal_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_els_id=S1359836813005799&rfr_iscdi=true