DOI: https://doi.org/10.20535/2521-1943.2017.80.109634

Analysis of methods for determination of the constants of elasticity unidirectional layer composite materials

V. Rubashevskyi, M. Zarazovskii, S. Shukyev

Abstract


Analytical methods for determining the elasticity constants of unidirectional composite materials, such as the rule of a mixture, model of coaxial cylinders, model Kilchinsky and model Vanin are considered. The main assumptions made in the calculations are reduced to the fact that the fibers and the matrix are isotropic elastic materials, which, when loaded, are deformed together, which is ensured by the presence of a rigid connection between them. The calculations of elastic characteristics are presented and a comparative analysis of the chosen approaches is performed on the example of layered composite materials. Recommendations concerning the expediency of using the considered methods are made.

Keywords


unidirectional composite material; mechanical characteristics; elastic constants; methods for determining elastic constants

References


Vanin, G. (1985), Micromechanics of composite materials, Science, Thought, Kiev, Ukraine.

Kilchinsky, A. (1965), “On a Model for Determining the Thermoelastic Characteristics of Materials Reinforced by Fibers”, Applied Mechanics, Vol. 1, No. 12, PP. 65-74.

Khelifa, M.Z., Abdullateef, M.S. and Al-Shukri, H.M. (2011), “Mechanical properties comparison of four models, failure theories study and estimation of thermal expansion coefficients for artificial E-glass polyester composite”, Eng. Technol. J. 29, No 2, PP. 278 – 294.

Soden, P.D., Hinton, M.J. and Kaddour, A.S. (1998), “Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates”, Composites Science and Technology, no 58 pp. 1011±1022.

Kucher, M. and Zarazovsky, M. (2010), “Assessment of micromechanical models of prediction of effective elasticity constants of fibrous composites”, Visnyk mashynobuduvannja, no 58, pp. 24 - 29.

Christensen, R. (1982), Vvedenie v mehaniku kompozitov [Introduction to the mechanics of composites], Translated by Tarnopolsky, Yu. (ed.), Mir, Moscow, Russia.

Rosen, B.W. (1970), “Thermomechanical properties of fibrous composites”, Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, Vol. 319, No 1536, PP. 79 - 94.

Brautman, Ed.L., Kroka, R. and Sandecki, J. (ed.) (1978), Composite materials, Vol. 8, no 2, Mechanics of composite materials, World, Moscow, Russia.

Daria, Zade S. (2013), “Numerical method for determining the effective characteristics of orthogonally reinforced composites”, Visnyk NTU “KhPI” [Bulletin of the National Technical University “KhPI”], Kharkov, NTU “KhPI”, Publ. Series “Dynamics and strength of machines”, No 58, PP. 71-77.

Yingjie, Xu, Pan Zhang, Huan Lu and Weihong Zhang (2015), “Hierarchically modeling the elastic properties of 2D needled carbon/carbon composites”, Composite Structures, No 133, PP. 148-156, DOI: 10.1016/j.compstruct.2015.07.081.

Rubashevskyi, V., Zarazovskii, M. and Shukyev, S. (2016) “Determination of elastic constants of unidirectional layer in composite materials”, Materials for use in extreme conditions - 6, Kiev, Ukraine, 1-2 December pp. 56-59.


GOST Style Citations


  1. Ванин Г.А. Микромеханика композиционных материалов. – Киев: Наук. думка, 1985. – 304 с
  2. Кильчинский А.А. Об одной модели для определения термоупругих характеристик материалов, армированных волокнами // Прикладная механика. – 1965. – Т. 1, № 12. – С. 65–74.
  3. Khelifa M. Z., Abdullateef M. S., and Al-Shukri H. M. Mechanical properties comparison of four models, failure theories study and estimation of thermal expansion coefficients for artificial E-glass polyester composite // Eng. Technol. J. – 2011. – 29, No. 2. – P. 278 – 294
  4. P. D. Soden, M. J. Hinton & A. S. Kaddour. Lamina properties, lay-up configurations and loading conditions for a range of fibre-reinforced composite laminates. Composites Science and Technology 58 (1998) 1011±1022
  5. М.К. Кучер, М.М. Заразовський. Оцінка мікромеханічних моделей прогнозування ефективних констант пружності волокнистих композитів // Вестн. машиностроения. – 2010. – 58. – С. 24 – 29.
  6. Кристенсен Р. Введение в механику композитов / Пер. с англ. Под ред. Ю.М. Тарнопольского. – Москва: Мир, 1982. – 334 с.
  7. Rosen B.W. Thermomechanical properties of fibrous composites // Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences. – 1970. – Vol. 319, № 1536. – P. 79–94.
  8. Композиционные материалы в 8 т. / Под ред. Л. Браутмана, Р. Крока. Том 2. Механика композиционных материалов / Под ред. Дж. Сендецки. – Москва: Мир, 1978. – 564 с.
  9.  Дария Заде С. Численная методика определения эффективных характеристик ортогонально армированных композитов / Дария Заде С. // Вісник НТУ «ХПІ»: Серія «Динаміка та міцність машин». — 2013. — №58. — C. 71—77.
  10. Yingjie Xu, Pan Zhang, Huan Lu, Weihong Zhang. Hierarchically modeling the elastic properties of 2D needled carbon/carbon composites // Composite Structures 133 (2015) 148-156.
  11. Victor Rubashevskyi, Maksym Zarazovskii, Sergiy Shukyev. (2016) «Determination of elastic constants of unidirectional layer in composite materials» // Materials for use in extreme conditions– 6. Kiev. Ukraine. 1-2 December — p.p. 56-59.