Express estimation of stress concentration factor near the hole loaded with a bolt in a plate from a layered polymeric composite material. Impact of monolayers stacking sequence

Authors

DOI:

https://doi.org/10.20535/2521-1943.2020.88.200290

Keywords:

polymer composite material, bolted joints, stress concentration factor

Abstract

Problematic. Among the various options for joining parts from layered polymer composite materials (PCM), a significant percentage is bolted joints (BJ). For their proper design, it is necessary, in particular, to carry out strength calculations. In this case, it is desirable to replace complex finite element calculations with express analysis: calculations using simple formulas of sufficient accuracy. One of the main strength calculations of BJ is the calculation of tensile strength of the section weakened by the hole. For BJ plates made from PCM, this question has not been worked out enough.

Research objective. Establish of the impact degree of the monolayers stacking sequence of a PCM plate on the value of the stress concentration factor (SCF) near the hole loaded with a bolt.

Realization technique. Numerical calculations were carried out using the finite element method (contact problem) for a BJ plate made of layered PCM. A 3D-orthotropy of each monolayer was assumed. Two simple express analysis formulas were tested. Diagrams were built, the presence and impact degree of the monolayers stacking sequence in a laminated PCM plate on the change of the SCF values were established.

The results of research. Based on the calculation results, numerical estimates are obtained that characterize the impact degree of the monolayers stacking sequence in a laminated PCM plate and the accuracy of the considered formulas.

Conclusions. The calculations showed that change of the monolayers stacking sequence of the layered PCM leads to a significant change of the SCF values near the bolt-loaded hole in the plate section weakened by the hole; that the proposed approximation (17) has insufficient accuracy for the considered materials and monolayers stacking sequences. It is necessary to continue the search for the correction function for (15) on a wider calculation and experimental base of PCM properties.

Author Biographies

Konstantin Rudakov, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Department of Dynamics and Strength of Machines and Strength of Materials, professor

Yury Dyfuchyn, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”

Department of Dynamics and Strength of Machines and Strength of Materials, senior lecturer

References

  1. Ya. S. Karpov, Soyedineniya detaley i agregatov iz kompozitsionnykh materialov. Kharkov: KhAI, 2006, 359 p.
  2. E. T. Vasilevsky, A. Z. Dveyrin, Ya. S. Karpov and S. P. Krivenda, "A system for experimental support of strength calculations of mechanical joints in composite parts", Open Information and Computer Integrated Technologies, no. 47, pp. 42-52, 2010.
  3. A. B. Kirkach, "The problem of strength of bolted connections based on layered composite plastics", Bulletin of the National Technical University "KhPI". Series: Dynamics and Strength of Machines, no. 63, pp. 45-54, 2011.
  4. Space engineering: Structural materials handbook. Part 1: Overview and material properties and applications. ECSS-E-HB-32-20 Part 1A, 2011. Available: http://www.ecss.nl/wp-content/uploads/handbooks/ecss-e-hb/ECSS-E-HB-32-20_Part1A.pdf.
  5. Space engineering: Structural materials handbook. Part 2: Design calculation methods and general design aspects. ECSS-E-HB-32-20 Part 2A, 2011. Available: http://www.ecss.nl/wp-content/uploads/handbooks/ecss-e-hb/ECSS-E-HB-32-20_Part2A.pdf.
  6. A. Z. Dveyrin, "Review and analysis of problem state of experiment-calculated support of design of aircraft units from polymer composites with mechanical junction of parts", Open Information and Computer Integrated Technologies, no. 66, pp. 5-19, 2014.
  7. P. M. Gagauz, F. M. Gagauz, Ya. S. Karpov and S. P. Krivenda, Proyektirovaniye i konstruirovaniye izdeliy iz kompozitsionnykh materialov. Teoriya i praktika. Kharkov: NAU im. N. E. Zhukovskogo “KhAI”, 2015, 672 p.
  8. H. J. Grover, Fatigue of Aircraft Structures. NAVAIR-01-1A-13. Fort Belvoir, VA: Defense Technical Information Center, 1966. DOI: https://doi.org/10.21236/AD0660529.
  9. R. Yu. Reshetnikova, "The influence of axial interference on the local stress state in single-shear bolted connections", Issues of design and production of aircraft structures, no. 1, pp. 87-99, 2013.
  10. K. Rudakov and Y. Dyfuchyn, "About calculations of net-tension failure of a bolted joint on the weakened by hole cross-section of composite plate", Mechanics and Advanced Technologies, no. 1(82), pp. 58-66, 2018. DOI: https://doi.org/10.20535/2521-1943.2018.82.121050.
  11. G. N. Savin, Mekhanika deformiruyemykh tel: Izbrannyye trudy. Kyiv: Naukova dumka, 1979, 465 p.
  12. W. C. Young and R. G. Budynas, Roark's Formulas for Stress and Strain, 7th edition. New York, NY: McGraw-Hill, 2002, 852 p.
  13. K. L. Johnson, Contact Mechanics, 1st ed. Cambridge: Cambridge University Press, 1985, 452 p. DOI: https://doi.org/10.1017/CBO9781139171731.
  14. M. Ciavarella, A. Baldini, J. R. Barber and A. Strozzi, "Reduced dependence on loading parameters in almost conforming contacts", International Journal of Mechanical Sciences, vol. 48, no. 9, pp. 917-925, 2006. DOI: https://doi.org/10.1016/j.ijmecsci.2006.03.016.
  15. T. De Jong, "Stresses Around Pin-Loaded Holes in Elastically Orthotropic or Isotropic Plates", Journal of Composite Materials, vol. 11, no. 3, pp. 313-331, 1977. DOI: https://doi.org/10.1177/002199837701100306.
  16. V. V. Bolotin and Yu. N. Novichkov, Mekhanika mnogosloynykh konstruktsiy. Moscow: Mashinostroyeniye, 1980, 375 p.
  17. G. W. Milton, The Theory of Composites, 1st ed. Cambridge University Press, 2002, 719 p. DOI: https://doi.org/10.1017/CBO9780511613357.
  18. K. N. Rudakov, FEMAP 10.2.0. Geometricheskoye i konechno-elementnoye modelirovaniye konstruktsiy. Kyiv: KPI, 2011, 317 p. Available: http://www.cad.dp.ua/stats/FEMAP-102.php.
  19. Y. M. Dyfuchyn and K. M. Rudakov, "Numerical Modelling of Bolted Joints from Composite. The Message 1. Creation of the Mixed 3D-Models", Journal of Mechanical Engineering the National Technical University of Ukraine "Kyiv Polytechnic Institute", vol. 2, no. 77, pp. 100-107, 2016. DOI: https://doi.org/10.20535/2305-9001.2016.77.76975.
  20. V. Maslyey and K. Rudakov, "To definition of modules of elasticity of a plate with unidirectional reinforcing height-modules a carbon fibre", Mechanics and Advanced Technologies, no. 3(87), pp. 7-15, 2019. DOI: https://doi.org/10.20535/2521-1943.2019.87.189220.
  21. K. Rudakov, Y. Dyfuchyn and S. Babienko, "Stress concentration factor near loaded hole contacting with the bolt in the monolayer of orthotropic composite material", Mechanics and Advanced Technologies, no. 1(85), pp. 41-48, 2019. DOI: https://doi.org/10.20535/2521-1943.2019.85.155702.
  22. J. P. Waszczak and T. A. Cruse, "Failure Mode and Strength Predictions of Anisotropic Bolt Bearing Specimens", Journal of Composite Materials, vol. 5, no. 3, pp. 421-425, 1971. DOI: https://doi.org/10.1177/002199837100500314.
    |
  23. K.-d. Zhang and C. E. S. Ueng, "Stresses around a pin-loaded hole in orthotropic plates with arbitrary loading direction", Composite Structures, vol. 3, no. 2, pp. 119-143, 1985. DOI: https://doi.org/10.1016/0263-8223(85)90040-6.
    |
  24. C. Echavarría, P. Haller and A. Salenikovich, "Analytical study of a pin-loaded hole in elastic orthotropic plates", Composite Structures, vol. 79, no. 1, pp. 107-112, 2007. DOI: https://doi.org/10.1016/j.compstruct.2005.11.038.
    |
  25. W. D. Pilkey and D. F. Pilkey, Peterson’s Stress Concentration Factors, 3rd edition. Hoboken, New Jersey: John Wiley & Sons, 2008, 522 p. DOI: https://doi.org/10.1002/9780470211106.
  26. S. G. Lekhnitskiy, Teoriya uprugosti anizotropnogo tela, 2nd ed. Moscow: Nauka, 1977, 416 p.

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Published

2020-04-18

How to Cite

[1]
K. Rudakov and Y. Dyfuchyn, “Express estimation of stress concentration factor near the hole loaded with a bolt in a plate from a layered polymeric composite material. Impact of monolayers stacking sequence”, Mech. Adv. Technol., no. 1(88), pp. 7–18, Apr. 2020.

Issue

No. 1(88) (2020)

Section

Mechanics

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