Skip to main content
SpringerLink
Log in

Features of Nonlinear In-Plane Shear Deformation of a Unidirectional and Orthogonally Reinforced Polymer Sheets of Composite Materials

  • MATERIALS MECHANICS: STRENGTH, DURABILITY, SAFETY
  • Published:
Inorganic Materials Aims and scope

Abstract

A comparative analysis of typical stress-strain diagrams obtained for in-plain shear of 25 unidirectional and cross-ply reinforced polymer matrix composites under quasistatic loading was carried out. Three of them were tested within the framework of this study, and the experimental data on other materials were taken from the literature. The analysis of the generalized shear-strength curves showed that most of the tested materials exhibit a similar deformation pattern depending on their initial shear modulus: a linear section is observed at the beginning of loading, whereas further increase in the load decreases the slope of the curve, reaching the minimum at the failure point. For three parameters (end point of the linear part, maximum reduced deviation of the diagram, tangent shear modulus at the failure point) characterizing the individual features of the presented stress-strain diagrams, approximating dependences on the values of the reduced initial shear modulus are obtained. At the characteristic points of the deformation diagrams, boundary conditions are determined that can be used to find the parameters of the approximating functions. A condition is proposed for determination of the end point of the linear section on the experimental stress-strain curve, according to which the maximum deviation between the experimental and calculated (according to Hooke’s law) values of the shear stress in this section is no more than 1%, thus ensuring rather high accuracy of approximation in the linear section of the diagram. It is recommended to use the results of this study when developing universal and approximating functions relatively simple in structure that take into account the characteristic properties of the experimental curves of deformation of polymer composite materials under in-plane shear of the sheet. The minimum set of experimental data is required to determine the parameters of these functions.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

REFERENCES

  1. Hinton, M.J., Kaddour, A.S., and Soden, P.D., Failure Criteria in Fibre Reinforced Polymer Composites: The World-Wide Failure Exercise, Amsterdam: Elsevier, 2004. https://doi.org/10.1016/B978-0-080-44475-8.X5000-8

    Book  Google Scholar 

  2. Fanteria, D. and Panettieri, E., A non-linear model for in-plane shear damage and failure of composite laminates, Aerotec. Missili Spazio, 2014, vol. 93, pp. 17–24. https://doi.org/10.1007/BF03404672

    Article  Google Scholar 

  3. McCarthy, C.T., O’Higgins, R.M., and Frizzell, R.M., A cubic spline implementation of non-linear shear behaviour in three-dimensional progressive damage models for composite laminates, Compos. Struct., 2010, vol. 92, pp. 173–181. https://doi.org/10.1016/j.compstruct.2009.07.025

    Article  Google Scholar 

  4. Dumansky, A.M., Tairova, L.P., Gorlach, I., and Alimov, M.A., A design-experiment study of nonlinear properties of coal-plastic, J. Mach. Manuf. Reliab., 2011, vol. 40, no. 5, pp. 483–488.

    Article  Google Scholar 

  5. Ruslantsev, A.N. and Dumansky, A.M., Model of nonlinear deformation and damage accumulation in polymer composites, Nauka Obraz., 2014, no. 2, pp. 324–331. https://doi.org/10.7463/0214.0687567

  6. Mohseni Shakib, S.M. and Li, S., Modified three rail shear fixture (ASTM D4255 D 4255M) and an experimental study of nonlinear in-plane shear behaviour of FRC, Comp. Sci. Technol., 2009, vol. 69, pp. 1854–1866. https://doi.org/10.1016/j.compscitech.2009.04.003

    Article  CAS  Google Scholar 

  7. Fedulov, B., Fedorenko, A., Safonov, A., and Lomakin, E., Nonlinear shear behavior and failure of composite materials under plane stress conditions, Acta Mech., 2017, vol. 228, no. 6, pp. 2033–2040. https://doi.org/10.1007/s00707-017-1817-4

    Article  Google Scholar 

  8. Totry, E., Molina-Aldareguia, J.M., Gonzalez, C., and Llorca, J., Effect of fiber, matrix and interface properties on the in-plane shear deformation of carbon-fiber reinforced composites, Compos. Sci. Technol., 2010, vol. 70, pp. 970–980. https://doi.org/10.1016/j.compscitech.2010.02.014

    Article  CAS  Google Scholar 

  9. Kaddour, A.S. and Hinton, M.J., Input data for test cases used in benchmark triaxial failure theories of composites, J. Compos. Mater., 2012, vol. 46, pp. 2295–2312. https://doi.org/10.1177/0021998312449886

    Article  Google Scholar 

  10. Chamis, C.C. and Sinclair, J.H., Ten-deg off-axis test for shear properties in fiber composites, Exp. Mech., 1977, vol. 17, pp. 339–346. https://doi.org/10.1007/BF02326320

    Article  Google Scholar 

  11. Liang, Y., Wang, H., and Gu, X., In-plane shear response of unidirectional fiber reinforced and fabric reinforced carbon/epoxy composites, Polymer Test., 2013, vol. 32, pp. 594–601.

    Article  CAS  Google Scholar 

  12. Soutis, C. and Turkmen, D., Moisture and temperature effects on the compressive failure of CFRP unidirectional laminates, J. Compos. Mater., 1997, vol. 31, pp. 832–849. https://doi.org/10.1177/002199839703100805

    Article  CAS  Google Scholar 

  13. Selmy, A.I., Elsesi, A.R., Azab, N.A., and El-baky, M.A., In-plane shear properties of unidirectional glass fiber (U)/random glass fiber (R)/epoxy hybrid and non-hybrid composites, Composites, 2012, vol. 43, pp. 431–438. https://doi.org/10.1016/j.compositesb.2011.06.001

    Article  CAS  Google Scholar 

  14. Choi, J.-H., Jang, J., Shim, W., Cho, J.-M., Yoon, S.-J., Choi, Ch.-H., Han, H.N., and Yu, W.-R., Determination of the in-plane shear modulus of unidirectional carbon fiber reinforced plastics using digital image correlation and finite-element analysis, Compos. Struct., 2019, vol. 229, p. 111392. https://doi.org/10.1016/j.compstruct.2019.111392

    Article  Google Scholar 

  15. Ekonometrika, Uchebnik (Econometrics: Textbook), 2nd ed., Utkin, V.B., Ed., Moscow: Dashkov, 2012.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Romashin ORPE Tekhnologiya, 249031, Obninsk, Russia

    A. O. Polovyi, N. V. Matyushevskii & N. G. Lisachenko

Authors
  1. A. O. Polovyi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. V. Matyushevskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. G. Lisachenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. O. Polovyi.

Ethics declarations

The author declares that he has no conflicts of interest.

Additional information

Translated by M. Drozdova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Polovyi, A.O., Matyushevskii, N.V. & Lisachenko, N.G. Features of Nonlinear In-Plane Shear Deformation of a Unidirectional and Orthogonally Reinforced Polymer Sheets of Composite Materials. Inorg Mater 58, 1548–1555 (2022). https://doi.org/10.1134/S0020168522150122

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0020168522150122

Search

Navigation