A new analytical model for predicting the thermal oxidation kinetics of composite organic m atrices. Application to diamine cross-linked epoxy
•A new analytical kinetic model is proposed for the thermal oxidation of organic matrix composites.•Its reliability is successfully checked numerically.•It is used to accurately identity the oxidation behavior of two epoxy-diamine matrices.•It is used to determine the accelerated aging conditions pe...
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Veröffentlicht in: | Polymer degradation and stability 2021-04, Vol.186, p.109513, Article 109513 |
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creator | COLIN, Xavier ESSATBI, Fatima DELOZANNE, Justine MOREAU, Gurvan |
description | •A new analytical kinetic model is proposed for the thermal oxidation of organic matrix composites.•Its reliability is successfully checked numerically.•It is used to accurately identity the oxidation behavior of two epoxy-diamine matrices.•It is used to determine the accelerated aging conditions perfectly representative of the natural aging.
The system of differential equations derived from the so-called “closed-loop” mechanistic scheme was solved analytically by applying realistic proportionality assumptions between the different concentrations of reactive species during the entire course of the thermal oxidation. This new method of analytical resolution allowed obtaining a sounder kinetic model accurately describing the three first stages of the thermal oxidation kinetics: the induction period, the auto-acceleration of the oxidation kinetics at the end of the induction period, and the steady-state regime. This kinetic model was used to identify the thermal oxidation behavior at 120 and 150°C in a large range of oxygen partial pressures (typically between 0.21 and 10 bars) of two epoxy-diamine (EPO-DA) matrices. In addition, the kinetic model was used to determine the accelerated aging conditions representative of the cruising flight of a commercial airliner. It was found that the oxygen partial pressure must be increased much more than the temperature to avoid any deformation of the structural degradation state in the two EPO-DA matrices, thus leading to the definition of extreme environmental conditions very difficult to access in practice. |
doi_str_mv | 10.1016/j.polymdegradstab.2021.109513 |
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The system of differential equations derived from the so-called “closed-loop” mechanistic scheme was solved analytically by applying realistic proportionality assumptions between the different concentrations of reactive species during the entire course of the thermal oxidation. This new method of analytical resolution allowed obtaining a sounder kinetic model accurately describing the three first stages of the thermal oxidation kinetics: the induction period, the auto-acceleration of the oxidation kinetics at the end of the induction period, and the steady-state regime. This kinetic model was used to identify the thermal oxidation behavior at 120 and 150°C in a large range of oxygen partial pressures (typically between 0.21 and 10 bars) of two epoxy-diamine (EPO-DA) matrices. In addition, the kinetic model was used to determine the accelerated aging conditions representative of the cruising flight of a commercial airliner. It was found that the oxygen partial pressure must be increased much more than the temperature to avoid any deformation of the structural degradation state in the two EPO-DA matrices, thus leading to the definition of extreme environmental conditions very difficult to access in practice.</description><identifier>ISSN: 0141-3910</identifier><identifier>EISSN: 1873-2321</identifier><identifier>DOI: 10.1016/j.polymdegradstab.2021.109513</identifier><language>eng</language><publisher>London: Elsevier Ltd</publisher><subject>Accelerated aging conditions ; Analytical kinetic model ; Carbonyl build-up ; Commercial aircraft ; Cruising flight ; Diamine cross-linked epoxy ; Diamines ; Differential equations ; Epoxy resins ; Heat transfer ; Kinetics ; Mathematical analysis ; Mathematical models ; Oxidation ; Partial pressure ; Reaction kinetics ; Temperature ; Thermal oxidation</subject><ispartof>Polymer degradation and stability, 2021-04, Vol.186, p.109513, Article 109513</ispartof><rights>2021 Elsevier Ltd</rights><rights>Copyright Elsevier BV Apr 2021</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3313-44cad2aeb910bc284980bdd2ceda0fa5af2a1519f9fd2a37daeabd3a80d600d93</citedby><cites>FETCH-LOGICAL-c3313-44cad2aeb910bc284980bdd2ceda0fa5af2a1519f9fd2a37daeabd3a80d600d93</cites><orcidid>0000-0001-7768-9000</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.polymdegradstab.2021.109513$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids></links><search><creatorcontrib>COLIN, Xavier</creatorcontrib><creatorcontrib>ESSATBI, Fatima</creatorcontrib><creatorcontrib>DELOZANNE, Justine</creatorcontrib><creatorcontrib>MOREAU, Gurvan</creatorcontrib><title>A new analytical model for predicting the thermal oxidation kinetics of composite organic m atrices. Application to diamine cross-linked epoxy</title><title>Polymer degradation and stability</title><description>•A new analytical kinetic model is proposed for the thermal oxidation of organic matrix composites.•Its reliability is successfully checked numerically.•It is used to accurately identity the oxidation behavior of two epoxy-diamine matrices.•It is used to determine the accelerated aging conditions perfectly representative of the natural aging.
The system of differential equations derived from the so-called “closed-loop” mechanistic scheme was solved analytically by applying realistic proportionality assumptions between the different concentrations of reactive species during the entire course of the thermal oxidation. This new method of analytical resolution allowed obtaining a sounder kinetic model accurately describing the three first stages of the thermal oxidation kinetics: the induction period, the auto-acceleration of the oxidation kinetics at the end of the induction period, and the steady-state regime. This kinetic model was used to identify the thermal oxidation behavior at 120 and 150°C in a large range of oxygen partial pressures (typically between 0.21 and 10 bars) of two epoxy-diamine (EPO-DA) matrices. In addition, the kinetic model was used to determine the accelerated aging conditions representative of the cruising flight of a commercial airliner. It was found that the oxygen partial pressure must be increased much more than the temperature to avoid any deformation of the structural degradation state in the two EPO-DA matrices, thus leading to the definition of extreme environmental conditions very difficult to access in practice.</description><subject>Accelerated aging conditions</subject><subject>Analytical kinetic model</subject><subject>Carbonyl build-up</subject><subject>Commercial aircraft</subject><subject>Cruising flight</subject><subject>Diamine cross-linked epoxy</subject><subject>Diamines</subject><subject>Differential equations</subject><subject>Epoxy resins</subject><subject>Heat transfer</subject><subject>Kinetics</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Oxidation</subject><subject>Partial pressure</subject><subject>Reaction kinetics</subject><subject>Temperature</subject><subject>Thermal oxidation</subject><issn>0141-3910</issn><issn>1873-2321</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNqNkU1OwzAQhS0EEqVwB0uIZYp_kjZZsKgqKEiV2MDamtiT4pLEwXaBXoIz41JWrLA08mLe9zQzj5Arziac8en1ZjK4dtcZXHswIUI9EUzw1KsKLo_IiJczmQkp-DEZMZ7zTFacnZKzEDYsvbzgI_I1pz1-UOih3UWroaWdM9jSxnk6eDRWR9uvaXzBffkuCdynNRCt6-mr7TFBgbqGatcNLtiI1Pk19FbTjkL0VmOY0PkwtMn8B4qOGgtdQqn2LoSstf0rGoqD-9ydk5MG2oAXv_-YPN_dPi3us9Xj8mExX2VaSi6zPNdgBGCdFqq1KPOqZLUxQqMB1kABjQBe8KqpmiSTMwMItZFQMjNlzFRyTC4PvoN3b1sMUW3c1qcjBCUKUQpZiCpPqpuD6mdQj40avO3A7xRnah-B2qg_Eah9BOoQQeKXBx7TKu8WvQraYp-mtB51VMbZfzp9A5ATnU8</recordid><startdate>202104</startdate><enddate>202104</enddate><creator>COLIN, Xavier</creator><creator>ESSATBI, Fatima</creator><creator>DELOZANNE, Justine</creator><creator>MOREAU, Gurvan</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>JG9</scope><orcidid>https://orcid.org/0000-0001-7768-9000</orcidid></search><sort><creationdate>202104</creationdate><title>A new analytical model for predicting the thermal oxidation kinetics of composite organic m atrices. Application to diamine cross-linked epoxy</title><author>COLIN, Xavier ; ESSATBI, Fatima ; DELOZANNE, Justine ; MOREAU, Gurvan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3313-44cad2aeb910bc284980bdd2ceda0fa5af2a1519f9fd2a37daeabd3a80d600d93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Accelerated aging conditions</topic><topic>Analytical kinetic model</topic><topic>Carbonyl build-up</topic><topic>Commercial aircraft</topic><topic>Cruising flight</topic><topic>Diamine cross-linked epoxy</topic><topic>Diamines</topic><topic>Differential equations</topic><topic>Epoxy resins</topic><topic>Heat transfer</topic><topic>Kinetics</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Oxidation</topic><topic>Partial pressure</topic><topic>Reaction kinetics</topic><topic>Temperature</topic><topic>Thermal oxidation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>COLIN, Xavier</creatorcontrib><creatorcontrib>ESSATBI, Fatima</creatorcontrib><creatorcontrib>DELOZANNE, Justine</creatorcontrib><creatorcontrib>MOREAU, Gurvan</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Polymer degradation and stability</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>COLIN, Xavier</au><au>ESSATBI, Fatima</au><au>DELOZANNE, Justine</au><au>MOREAU, Gurvan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A new analytical model for predicting the thermal oxidation kinetics of composite organic m atrices. 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The system of differential equations derived from the so-called “closed-loop” mechanistic scheme was solved analytically by applying realistic proportionality assumptions between the different concentrations of reactive species during the entire course of the thermal oxidation. This new method of analytical resolution allowed obtaining a sounder kinetic model accurately describing the three first stages of the thermal oxidation kinetics: the induction period, the auto-acceleration of the oxidation kinetics at the end of the induction period, and the steady-state regime. This kinetic model was used to identify the thermal oxidation behavior at 120 and 150°C in a large range of oxygen partial pressures (typically between 0.21 and 10 bars) of two epoxy-diamine (EPO-DA) matrices. In addition, the kinetic model was used to determine the accelerated aging conditions representative of the cruising flight of a commercial airliner. It was found that the oxygen partial pressure must be increased much more than the temperature to avoid any deformation of the structural degradation state in the two EPO-DA matrices, thus leading to the definition of extreme environmental conditions very difficult to access in practice.</abstract><cop>London</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.polymdegradstab.2021.109513</doi><orcidid>https://orcid.org/0000-0001-7768-9000</orcidid><oa>free_for_read</oa></addata></record> |
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subjects | Accelerated aging conditions Analytical kinetic model Carbonyl build-up Commercial aircraft Cruising flight Diamine cross-linked epoxy Diamines Differential equations Epoxy resins Heat transfer Kinetics Mathematical analysis Mathematical models Oxidation Partial pressure Reaction kinetics Temperature Thermal oxidation |
title | A new analytical model for predicting the thermal oxidation kinetics of composite organic m atrices. Application to diamine cross-linked epoxy |
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