Engineering Journal: Science and InnovationELECTRONIC SCIENCE AND ENGINEERING PUBLICATION
Certificate of Registration Media number Эл #ФС77-53688 of 17 April 2013. ISSN 2308-6033. DOI 10.18698/2308-6033
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Article

Prediction and calculation of mechanical properties anisotropy of unidirectional carbon-fiber-reinforced plastic under strain rate loading

Published: 17.01.2020

Authors: Dumanskiy A.M., Liu H.

Published in issue: #1(97)/2020

DOI: 10.18698/2308-6033-2020-1-1947

Category: Aviation and Rocket-Space Engineering | Chapter: Aerodynamics and Heat Transfer Processes in Aircrafts

A model based on the relations of a hereditarily elastic medium, an anisotropic theory of elasticity, and the Volterra correspondence principle has been developed, which allows one to calculate and predict the anisotropy of the rheological properties of unidirectional carbon fiber in a linear area. Based on the proposed model, expressions are obtained for the stress strain curves of unidirectional samples, which were tested on samples made of carbon fiber reinforced plastic IM7/8552 and carbon fiber plastic AS4/3501-6, loaded at different angles to the direction of reinforcement and strain rates corresponding to quasistatic and dynamic loading. It was assumed that the time dependent properties of unidirectional carbon fiber reinforced plastics are manifested in the direction perpendicular to the reinforcement and in-plane shear of the layer. The implementation of the calculation algorithm turned out to be possible due to the use of relations of the algebra of the resolvent operators. To obtain numerical values of the model parameters, the experimental curves of the deformation of carbon fiber samples were processed.


References
[1] Hinton M.J., Kaddour A.S., Soden P.D., eds. Failure criteria in fibre-reinforced-polymer composites: The World-Wide Failure Exercise. Elsevier Science, 2004, 1268 p.
[2] Vasiliev V.V. Mekhanika konstruktsiy iz kompozitsionnykh materialov [Structure mechanics of composite materials]. Moscow, Mashinostroenie, 1988, 272 p.
[3] Alfutov N.A., Zinoviev P.A., Popov B.G. Raschet mnogosloynykh plastin i obolochek iz kompozitsionnykh materialov [Calculation of multilayered plates and shells]. Moscow, Mashinostroenie, 1984, 264 p.
[4] Vinson J.R., Sierakovski R.L. The behavior of structures composed of composite materials. Martinus Nijhoff Publ., 1986, 264 p. [in Russ.: Vinson J.R., Sierakovski R.L. Povedeniye konstruktsiy iz kompozitnykh materialov. Moscow, Metallurgiya Publ., 1991, 264 p.].
[5] Herakovich C.T. Mechanics of fibrous composites. New York, John Wiley&Sons, 1998, 460 p.
[6] Tschoegl N.W. The phenjmenological theory of linear viscoelastic behavior. Berlin Heidelberg, Springer-Verlag, 1989, 769 p.
[7] Rabotnov Yu.N. Elementy nasledstvennoy mekhaniki tverdykh tel [Elements of hereditary mechanics of solids]. Moscow, Mashinostroenie, 1977, 384 p.
[8] Lekhnitskii S.G. Teoriya uprugosti anizotropnogo tela [Theory of elasticity of anisotropic body]. Moscow, Nauka, 1977, 416 p.
[9] Kaddour A.S., Hinton M.J., Li S., Smith P. Instructions to contributors of the third world-wide failure exercise (WWFE-III): Part (A) 2008, 48 p.
[10] Daniel I.M., Werner B.T., Fenner J.S. Strain-rate-dependent failure criteria for composites. Comp. Sci. and Tech., 2011, vol. 71, pp. 357–364.
[11] Koerber H., Xavier J., Camanho P.P. High strain rate characterization of unidirectional carbon-epoxy IM7-8552 in transverse compression and in-plane shear using digital image correlation. Mech. and Mater., 2010, vol. 42, pp. 1004–1019.