Determination of influence factores and stress concentration factor for express strength calculations of single-cut bolted connections of layered composite plates. Message 2

Authors

DOI:

https://doi.org/10.20535/2521-1943.2025.9.2(105).329239

Keywords:

bolted joints, maximum stress, stress concentration coefficient, polymer-composite material, influence factor, strength

Abstract

When designing bolted joints (BJ), it is necessary, in particular, to carry out their verification calculations for strength. In this case, it is desirable to use express analysis: calculations using simple formulas of sufficient accuracy. For BJ plates made of layered polymer composite materials (PCM), the problem has not yet been solved. In particular, a formula for determining the maximum stress near the hole for reinforcement schemes of the type [0/φ/-φ/90]s and [φ/-φ]s has not been found, at 0<φ<90 (for all other schemes there are already five formulas, as discussed in Message 1).

The aim of the work was to obtain information on the distribution of maximum stresses for reinforcement schemes of the type [0/φ/-φ/90]s and [φ/-φ]s at variable values ​​of the reinforcement angle 0<φ<90, based on the results of calculations using the finite element method (FEM).

Model numerical calculations were performed using the FEM (contact problem) for the interaction of a layered PCM plate with a rigid "bolt" (pin). 3D orthotropy of each layer, linear elasticity, absence of friction and lateral clearance "bolt"/hole were assumed. The results are summarized in the tables, illustrations are given. The results were analyzed. It is proposed to introduce two more factors of influence on the value of the maximum tensile stress near the hole in the layered PCM plate.

An analytical formula for calculating the stress concentration coefficient for a plate section weakened by a hole with a reinforcement scheme of the type [φ/-φ]s , 0<φ<90 could not be found. Additional research is required.

References

  1. K. Rudakov and Y. Dyfuchyn, “Determination of influence factores and stress concentration factor for express strength calcula-tions of single-cut bolted connections of layered composite plates. Message 1,” Mech. Adv. Technol., vol. 8, no. 4(103), pp. 373–384, Dec. 2024, doi: https://doi.org/10.20535/2521-1943.2024.8.4(103).311624.
  2. P. S. Theocaris, “Stress Concentration Produced in Perforated Strips Under Tension,” Proceedings of the SESA, vol. XIV, No. 2, 1957.
  3. De Jong, T. “Stresses around pin–loaded holes in elastically orthotropic or isotropic plates,” J. Compos. Mater. vol. 11, pp. 313–331, 1977, doi: https://doi.org/10.1177/00219983770110030.
  4. Kai-da Zhang and Charles E. S. Ueng “Stresses Around a Pin-loaded Hole in Orthotropic Plates with Arbitrary Loading Direc-tion,” Composite Structures 3, pp. 119–143, 1985, doi: https://doi.org/10.1016/0263-8223(85)90040-6.
  5. C. Echavarrı´a, P. Haller and A. Salenikovich, “Analytical study of a pin–loaded hole in elastic orthotropic plates,” Composite Structures, vol. 79, pp. 107–112, 2007, doi: https://doi.org/10.1016/j.compstruct.2005.11.038 .
  6. S. G. Lehnicki, Anisotropic Plates, Gordon and Breach, London, 1968.
  7. 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”, Mech. Adv. Technol., no. 1(82), pp. 58–66, May 2018, doi: https://doi.org/ 10.20535/2521-1943.2018.82.121050 .
  8. W. R. Broughton, L. E. Crocker and M. R. L Gower, “Design Requirements for Bonded and Bolted Composite Structures,” NPL Materials Centre, National Physical Laboratory, Teddington, Middlesex, UK, 2002.
  9. K. N. Rudakov and A. S. Shandura, “Numeral Ground of Application of mixed 3D-Modeley Composites at Computations of Bolted Joints,” Journal of Mechanical Engineering NTUU “Kyiv Polytechnic Institute”, no. 2(74), 2015, pp. 67–76.
  10. C. Rudakov, “Determination of the maximum stresses in the hole in layered composite plates with a stacking scheme [φ/-φ]2s, loaded with a bolt”, ПТТтаІО, no. XXIV, pp. 7–10, Dec. 2024, doi: https://doi.org/ https://doi.org/10.20535/.2024.XXIV.315588.
  11. K. Rudakov and A. Dobronravov, “About Influence of Size of a Backlash Between a Bolt and the Hole on the Tension Condi-tion of a Bolt of the Single-Shear Bolted Joint in a “Shearing” Zone”,” Journal of Mechanical Engineering NTUU “Kyiv Poly-technic Institute”, no. 3 (69), pp. 62–71, 2013.
  12. V. Giurgiutiu, Stress, Vibration, and Wave Analysis in Aerospace Composites for SHM and NDE Applications. Elsevier Book Companion, 927 p., 2022, doi: https://doi.org/10.1016/C2016-0-04241-9 .
  13. Li Dinghe, Analysis of Composite Laminates. Theories and their Applications. Elsevier Book Companion, 521 p., 2022, doi: https://doi.org/ https://doi.org/10.1016/C2020-0-04062-4 .
  14. W. C. Young, and R. G. Buynas, Roark’s Formulas for Stress and Strain. Seventh Edition. McGraw-Hill, 852 p. 2002.
  15. N. J. Pejgano, Ed., Mezhslojnye jeffekty v kompozitnyh materialah [Interlaminar Response of Composite Materials], Moscow, Russia: Mir, 1993.

Published

2025-06-26

How to Cite

[1]
K. Rudakov, “Determination of influence factores and stress concentration factor for express strength calculations of single-cut bolted connections of layered composite plates. Message 2”, Mech. Adv. Technol., vol. 9, no. 2(105), pp. 133–143, Jun. 2025.

Issue

Section

Mechanics