doi: 10.18698/2309-3684-2024-4-2943
The article considers the application of a two-phase filtration model taking into account capillary effects for modeling RTM technology used for the production of composite materials. A system of convection-diffusion equations is formulated. For its numerical solution, the Galerkin/least-squares (GLS) method is used, which allows eliminating oscillations in the solution that occur when the convective term predominates over the diffusion one. A comparison of the results obtained based on the two-phase filtration model and on the PAM-RTM software package is made. The model is implemented in the Manipula/SMCM software package, developed at the REC "SIMPLEX" of Bauman Moscow State Technical University.
[1] Mehdikhani M., Gorbatikh L., Verpoest I. Lomov S.V. Voids in fiber-reinforced polymer composites: A review on their formation, characteristics, and effects on mechanical performance. Journal of Composite Materials, 2019, vol. 53, no. 12, pp. 1579–1669. DOI: 10.1177/0021998318772152.
[2] Francucci G., Rodriguez E.S., Moran J. Novel approach for mold filling simulation of the processing of natural fiber reinforced composites by resin transfer molding. Journal of Composite Materials, 2014, vol. 48, no. 2, pp. 191–200. DOI: 10.1177/0021998312469992.
[3] Loudad R., Saouab A., Beauchene P., Agogue R., Desjoyeaux B. Numerical modeling of vacuum-assisted resin transfer molding using multilayer approach. Journal of Composite Materials, 2017, pp. 1–12. DOI: 10.1177/0021998316687145.
[4] Yang B., Tang Q., Wang S., Jin T., Bi F. Three-dimensional numerical simulation of the filling stage in resin infusion process. Journal of Composite Materi-als, 2016, vol. 50, no. 29, pp. 4171–4186. DOI: 10.1177/0021998316631809.
[5] Koziol M. Simplified simulation of VARI process using PAM-RTM software. Composites Theory and Practice, 2015, vol. 15, no. 4, pp. 218–227.
[6] Khalili P., Kadar R., Skrifvars M., Blinzler B. Impregnation behaviour of regenerated cellulose fabric Elium composite: Experiment, simulation and analytical solution. Journal of Materials Research and Technology, 2020, vol. 10, no. 6, pp. 66–73. DOI: 10.1016/j.jmrt.2020.12.024.
[7] Dimitrienko Yu. I., Bogdanov I.O. Modelling of filtration of liquid binder in the composite textile structures under RTM processes. IOP Conference Series: Material Science and Engeneering, 2019, vol. 683, № 012011, pp.1-6. doi:10.1088/1757-899X/683/1/012011
[8] Dimitrienko Yu. I., Bogdanov I.O. Multiscale modeling of filtration liquid binding processes in composite designs at RTM production method. Mathematical Modeling and Computational Methods, 2017, no 2, pp. 3–27.
[9] Dimitrienko Yu. I., Bogdanov I.O. Multiscale modeling filtration processes in porous media. Engineering journal: science and innovation, 2018, no. 3(75). DOI: 10.18698/2308-6033-2018-3-1738
[10] Barenblatt G.I., Entov V.M., Ryzhik V.M. Dvizhenie zhidkostej i gazov v prirodnyh plastah [Movement of liquids and gases in natural formations]. Moscow, Nedra Publishers, 1984, 211 p.
[11] CHarnyj I.A. Podzemnaya gidrogazodinamika [Underground hydrogas dynamics]. Moscow, Gosudarstvennoe nauchno-tekhnicheskoe izdatel'stvo neftyanoj i gorno-toplivnoj literatury [State Scientific and Technical Publishing House of Petroleum and Mining and Fuel Literature], 1963, 397 p.
[12] Vasil'eva M.V., Prokop'ev G.A. CHislennoe reshenie zadachi dvuhfaznoj fil'tracii s neodnorodnymi koefficientami metodom konechnyh elementov [Numerical solution of the problem of two-phase filtration with inhomogeneous coefficients by the finite element method]. Matematicheskie zametki SVFU [NEFU Mathematical Notes], 2017, vol. 24, no. 2, pp. 46–62. DOI: https://doi.org/10.25587/SVFU.2017.2.9245.
[13] Lube G. Stabilized Galerkin Finite Element Methods for Convection Dominated and Incompressible Flow Problems. Banach Center Publications, 1994, vol. 29, no. 1, pp. 85-104. DOI: 10.4064/-29-1-85-104.
[14] Omariyeva D.A. Stabilized finite element method for the saturation equation in the two-phase nonequilibrium fluid flow problem. Bulletin of the National Engineering Academy of the Republic of Kazakhstan, 2022, vol. 83, no. 1, pp. 113-122. DOI: 10.47533/2020.1606-146X.147.
[15] Zenkevich O. Metod konechnyh elementov v tekhnike [The finite element method in engineering]. Moscow, Mir Publ., 1975, 541 p.
[16] Segerlind L. Primenenie metoda konechnyh elementov: Perevod s anglijskogo [Application of the finite element method: Translated from English] Moscow, Mir Publ., 1979, 392 p.
[17] Dimitrienko YU.I., Sborshchikov S.V., YUrin YU.V., Bogdanov I.O., Zaharov A.A., Gumirgaliev T.R.Programma Plasticity_Anisitrop_Manipula dlya konechno-elementnogo rascheta napryazhenij v elementah kompozitnyh konstrukcij s uchetom krivolinejnoj anizotropiii uprugo-plasticheskih svojstv kompozicionnyh materialov v ramkah deformacionnoj teorii plastichnosti [Plasticity_Anisitrop_Manipula program for finite element stress calculation in composite structural elements, taking into account the curvilinear anisotropy and elastic-plastic properties of composite materials within the framework of the deformation theory of plasticity].Certificate of registration of the computer program 2022684326 dated 12/12/2022. Application No. 2022684326 dated 11/23/2022.
Димитриенко Ю.И., Богданов И.О. Моделирование технологии RTM на основе модели двухфазной фильтрации c учетом капиллярных эффектов. Математическое моделирование и численные методы, 2025, № 1, с. 29–44.
Количество скачиваний: 167