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Modelling Shrinkage of a Polymer Binder During Curing

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Mathematical Modeling and Simulation of Systems (MODS 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 667))

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Abstract

The quality of modern polymer composite materials and composite-based structures is largely determined by technological conditions of their production. The paper deals with the optimization of technological conditions of heat treatment of cured composite products, carried out based on the results of mathematical and computer modelling of thermochemical and thermophysical properties of materials, as well as heat transfer processes accompanied by corresponding physical and chemical transformations in the product. The results of the studies and subsequent mathematical modelling of shrinkage of the epoxy binder EA9396 during curing are presented. The experimental data are obtained using the differential scanning calorimetry. An analytical dependence describing the change in the degree of curing of a binder with a change in the conditions of product moulding has been proposed. The dependence makes it possible to determine the state of a polymer binder (viscous, viscoelastic, elastic) at any time of the curing process, to establish the point at which stresses occur in the cured structure as well as to detect the physical and mechanical properties of the composite corresponding to the degree of curing and viscosity. A model of polymer binder shrinkage during curing has been developed. The shrinkage model satisfactorily describes the experimental results. The curves constructed using the experimentally received reaction rate data and the analytical model differ by no more than 5%. The dependence of the shrinkage rate of the polymer binder on the reaction rate is presented. A software that allows obtaining the dependence of the degree of curing and shrinkage on time for a given temperature range has been developed. Based on the results received, the selection of the optimal curing mode can be carried out, which makes it possible to compensate shrinkage deformations with temperature ones and reduce technological stresses in the composite product.

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Author information

Authors and Affiliations

  1. O. M. Beketov National University of Urban Economy in Kharkiv, 17 Marshal Bazhanov St., Kharkiv, 61002, Ukraine

    Andrii Kondratiev

  2. National Aerospace University “Kharkiv Aviation Institute”, 17 Chkalov St., Kharkiv, 61070, Ukraine

    Maryna Shevtsova, Oleksii Vambol, Anton Tsaritsynskyi & Tetyana Nabokina

Authors
  1. Andrii Kondratiev
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  2. Maryna Shevtsova
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  3. Oleksii Vambol
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  4. Anton Tsaritsynskyi
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  5. Tetyana Nabokina
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Corresponding author

Correspondence to Andrii Kondratiev .

Editor information

Editors and Affiliations

  1. The Ministry of Education and Science, Kyiv, Ukraine

    Serhiy Shkarlet

  2. Academician of NAS of Ukraine, Institute of Mathematical Machines and Systems Problems, Kyiv, Ukraine

    Anatoliy Morozov

  3. Academician of NAS of Ukraine, V.M. Glushkov Institute of Cybernetics, Kyiv, Ukraine

    Alexander Palagin

  4. Tallinn University of Technology, Tallinn, Estonia

    Dmitri Vinnikov

  5. Bulgarian Defence Institute, Sofia, Bulgaria

    Nikolai Stoianov

  6. Institute of Environmental Radioactivity, Fukushima University, Fukushima, Japan

    Mark Zhelezniak

  7. Chernihiv Polytechnic National University, Chernihiv, Ukraine

    Volodymyr Kazymyr

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Kondratiev, A., Shevtsova, M., Vambol, O., Tsaritsynskyi, A., Nabokina, T. (2023). Modelling Shrinkage of a Polymer Binder During Curing. In: Shkarlet, S., et al. Mathematical Modeling and Simulation of Systems. MODS 2022. Lecture Notes in Networks and Systems, vol 667. Springer, Cham. https://doi.org/10.1007/978-3-031-30251-0_6

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  • DOI: https://doi.org/10.1007/978-3-031-30251-0_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-30250-3

  • Online ISBN: 978-3-031-30251-0

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