Phenomenological Kinetic Equation of Conversion of a Binder of Composite Materials Based on Isothermal Experimental Data.
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| Title: | Phenomenological Kinetic Equation of Conversion of a Binder of Composite Materials Based on Isothermal Experimental Data. |
|---|---|
| Authors: | Kondyurin, A. V.1 (AUTHOR) alexey.kondyurin@gmail.com, Pestrenin, V. M.2 (AUTHOR), Pestrenina, I. V.2 (AUTHOR), Landik, L. V.2 (AUTHOR) |
| Source: | Theoretical Foundations of Chemical Engineering. Jun2024, Vol. 58 Issue 3, p752-758. 7p. |
| Subjects: | Mechanical behavior of materials, Isothermal processes, Binding agents, Composite structures, Composite materials |
| Abstract: | In the problems of technological mechanics, such as manufacturing of composite structures, packaging and deployment of space-grade prepreg products, etc., there is a need to calculate the current mechanical properties of a composite material with an incompletely cured binder. Such properties are determined, first of all, by the state of the binder, which is described by the kinetic equation of conversion. The parameters of the kinetic equation depend on many factors: temperature, diffusion, the presence of a catalytic system, modifiers, reagents, the formation of by-products of kinetic reactions, evaporation of reagents, the effect of radiation on the reaction, etc. Reliable consideration of the influence of each factor in the kinetic equation turns out to be practically impossible. Therefore, most researchers use the phenomenological conversion equation based on experimental data, since these data reflect all the features of the kinetic process. The paper considers the first-order conversion equation, which takes into account autoacceleration and autodeceleration. The equation parameters are determined from isothermal experimental data using the following technique. The equation for the conversion rate is integrated, and the integral is used to construct a system of equations containing experimental data and the sought approximation parameters, which are determined by standard mathematical methods. The dependence of the kinetic equation parameters on temperature is also constructed by approximation. Examples of constructing conversion equations for a two-component model composite and the Barnes multicomponent industrial mixture are given. It is shown that the parameters of the kinetic equation in both cases significantly depend on temperature. Examples of using the obtained kinetic equation to calculate the degree of curing of samples under a given temperature loading are given. [ABSTRACT FROM AUTHOR] |
| Copyright of Theoretical Foundations of Chemical Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
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| Items | – Name: Title Label: Title Group: Ti Data: Phenomenological Kinetic Equation of Conversion of a Binder of Composite Materials Based on Isothermal Experimental Data. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kondyurin%2C+A%2E+V%2E%22">Kondyurin, A. V.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> alexey.kondyurin@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Pestrenin%2C+V%2E+M%2E%22">Pestrenin, V. M.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Pestrenina%2C+I%2E+V%2E%22">Pestrenina, I. V.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Landik%2C+L%2E+V%2E%22">Landik, L. V.</searchLink><relatesTo>2</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Theoretical+Foundations+of+Chemical+Engineering%22">Theoretical Foundations of Chemical Engineering</searchLink>. Jun2024, Vol. 58 Issue 3, p752-758. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Mechanical+behavior+of+materials%22">Mechanical behavior of materials</searchLink><br /><searchLink fieldCode="DE" term="%22Isothermal+processes%22">Isothermal processes</searchLink><br /><searchLink fieldCode="DE" term="%22Binding+agents%22">Binding agents</searchLink><br /><searchLink fieldCode="DE" term="%22Composite+structures%22">Composite structures</searchLink><br /><searchLink fieldCode="DE" term="%22Composite+materials%22">Composite materials</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In the problems of technological mechanics, such as manufacturing of composite structures, packaging and deployment of space-grade prepreg products, etc., there is a need to calculate the current mechanical properties of a composite material with an incompletely cured binder. Such properties are determined, first of all, by the state of the binder, which is described by the kinetic equation of conversion. The parameters of the kinetic equation depend on many factors: temperature, diffusion, the presence of a catalytic system, modifiers, reagents, the formation of by-products of kinetic reactions, evaporation of reagents, the effect of radiation on the reaction, etc. Reliable consideration of the influence of each factor in the kinetic equation turns out to be practically impossible. Therefore, most researchers use the phenomenological conversion equation based on experimental data, since these data reflect all the features of the kinetic process. The paper considers the first-order conversion equation, which takes into account autoacceleration and autodeceleration. The equation parameters are determined from isothermal experimental data using the following technique. The equation for the conversion rate is integrated, and the integral is used to construct a system of equations containing experimental data and the sought approximation parameters, which are determined by standard mathematical methods. The dependence of the kinetic equation parameters on temperature is also constructed by approximation. Examples of constructing conversion equations for a two-component model composite and the Barnes multicomponent industrial mixture are given. It is shown that the parameters of the kinetic equation in both cases significantly depend on temperature. Examples of using the obtained kinetic equation to calculate the degree of curing of samples under a given temperature loading are given. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Theoretical Foundations of Chemical Engineering is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1134/S0040579524601432 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 752 Subjects: – SubjectFull: Mechanical behavior of materials Type: general – SubjectFull: Isothermal processes Type: general – SubjectFull: Binding agents Type: general – SubjectFull: Composite structures Type: general – SubjectFull: Composite materials Type: general Titles: – TitleFull: Phenomenological Kinetic Equation of Conversion of a Binder of Composite Materials Based on Isothermal Experimental Data. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kondyurin, A. V. – PersonEntity: Name: NameFull: Pestrenin, V. M. – PersonEntity: Name: NameFull: Pestrenina, I. V. – PersonEntity: Name: NameFull: Landik, L. V. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 00405795 Numbering: – Type: volume Value: 58 – Type: issue Value: 3 Titles: – TitleFull: Theoretical Foundations of Chemical Engineering Type: main |
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