Skip to main content
SpringerLink
Log in

Reliability prediction of the stress concentration factor using response surface method

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

The present paper consists, firstly, of developing mathematical models to predict the stress concentration factor of a carbon fiber reinforced epoxy. Based on response surface method (RSM), a mathematical model has been determined, in which three factors with three levels are implemented. Carbon fiber content, fiber angle, and stress loading are chosen as the main input parameters in this study. The stress concentration factor is considered as an output response which is evaluated through finite element study. Secondly, the reliability of the stress concentration factor is proposed based on the developed mathematical models, where the dispersions of (i) the carbon fiber content and (ii) the fiber angle are taken into account using the Strength-Load method with the reliability index simulation. The proposed approach can be used as a powerful and an interesting method for engineering design to determine with more security the stress concentration factor behavior of a carbon fiber reinforced epoxy.

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

We’re sorry, something doesn't seem to be working properly.

Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

References

  1. Zitoune R, Collombet F, Piquet R, Lachaud F, Pasquet P (2005) Experiment–calculation comparison of the cutting conditions representative of the long fiber composite drilling phase. Compos Sci Technol 65:455–466

    Article  Google Scholar 

  2. Akay M, Oregan DF (2004) Fracture behaviour of carbon fibre reinforced polyamide mouldings. Polym Test 14:149–162

    Article  Google Scholar 

  3. Tancrez JP, Pabiot J, Rietsch F (2006) Damage and fracture mechanisms in thermoplastic-matrix composites in relation to processing and structural parameters. Compos Sci Technol 56:725–731

    Article  Google Scholar 

  4. Thomason JL (1999) The influence of fibre properties of the performance of carbon-fibre-reinforced polyamide 66. Compos Sci Technol 59:2315–2328

    Article  Google Scholar 

  5. Darwish F, Tashtoush G, Gharaibeh M (2013) Stress concentration analysis for countersunk rivet holes in orthotropic plates. Eur J Mech A/Solids 37:69–78

    Article  MATH  Google Scholar 

  6. Tan SC (1988) Finite-width correction factors for anisotropic plate containing a central opening. J Compos Mater 22:1080–1018

    Article  Google Scholar 

  7. Mathias J, Balandraud X, Grediac M (2006) Experimental investigation of composite patches with a full-field measurement method. Compos Part A 37:177–190

    Article  Google Scholar 

  8. Sutton MA, Orteu JJ, Schreier H (2009) Image correlation for shape, motion and deformation measurements, basic concepts, theory and applications. Springer, New York

    Google Scholar 

  9. Makki MM, Chokri B (2016) Experimental, analytical, and finite element study of stress concentration factors for composite materials. J Compos Mater 51:1583–1594

    Article  Google Scholar 

  10. Bouraoui C, Ben Sghaier R, Fathallah R (2009) An engineering predictive design approach of high cycle fatigue reliability of shot peened metallic parts. Mater Des 30:475–486

    Article  Google Scholar 

  11. Ben Sghaier R, Bouraoui C, Fathallah R, Hassine T, Dogui A (2007) Probabilistic high cycle fatigue behaviour prediction based on global approach criteria. Int J Fatigue 29:209–221

    Article  MATH  Google Scholar 

  12. Qu X, Haftka RT (2003) Deterministic and reliability-based optimization of composite laminates for cryogenic environments. AIAA J 41:2029–2042

    Article  Google Scholar 

  13. Sun Z, Wang C, Niu X, Song Y (2016) A Response surface approach for reliability analysis of 2.5D C/SiC composites turbine blade. Compos B 85:277–285

    Article  Google Scholar 

  14. Bucher CG, Bourgund U (1990) A fast and efficient response surface approach for structural reliability problems. Struct Saf 7:57–66

    Article  Google Scholar 

  15. Rajashekhar MR, Ellingwood BR (1990) A now look at the response surface approach for reliability analysis. Struct Saf 12:205–220

    Article  Google Scholar 

  16. Satheeshkumar V, Lakshminarayanan PR (2012) Developing mathematical models on tensile strength and acoustic emission count of ZE41A. J Alloys Compd 537:35–42

    Article  Google Scholar 

  17. Abdul Nasir AA, Azmi AI, Khalil ANM (2015) Measurement and optimisation of residual tensile strength and delamination damage of drilled flax fibre reinforced composites. Measurement 75:298–307

    Article  Google Scholar 

  18. Wu H-C, Mu B (2003) On stress concentrations for isotropic/orthotropic plates and cylinders with a circular hole. Compos B 34:127–134

    Article  Google Scholar 

  19. Lemaire M, Chateauneuf A, Mitteau JC (2005) Fiabilité des structures: couplage mécano-fiabiliste statique. Edit Hermes Paris 52:620–633 [In French]

    Google Scholar 

  20. Karadeniz H (2001) Uncertainty modeling in the fatigue reliability calculation of offshore structures. Reliab Eng Syst Safe 74:23–35

    Article  Google Scholar 

  21. Rackwitz R, Fissler B (1978) Structural reliability under combined random load sequences. Comput Struct 9:489–494

    Article  MATH  Google Scholar 

  22. Cornell CA (1969) A probability-based structural code. J Am Concr Instit 66:974–985

    Google Scholar 

  23. Hasofer AM, Lind NC (1974) An exact and invariant first order reliability format. J Eng Mech ASCE 100:111–121

    Google Scholar 

  24. Ditlevsen O, Madsen HO (1996) Structural reliability methods. Wiley, Habilitation tome I

    Google Scholar 

  25. Bereriche Y (2010) Contribution de l’approche contrainte/résistance à l'évaluation de la fiabilité des structures. Thèse de maîtrise en génie Mécanique, Université Laval, Quebec. [In French]

  26. Myers RH, Montgomery DH (1995) Response surface methodology. Wiley, New York

    MATH  Google Scholar 

  27. Grum J, Slab JM (2004) The use of factorial design and response surface methodology for fast determination of optimal heat treatment conditions of different Ni–Co–Mo surface layers. J Mater Process Technol 155:2026–2032

    Article  Google Scholar 

  28. Mguil-Touchal S (1997) Une technique de corrélation directe d’images numériques. Application à la détermination de courbes limites de formage et proposition d’un critère de striction. Thése, INSA de Lyon. [In French]

  29. Oktem H., Erzurmlu T., Kurtaran H (2005) Application of response surface methodology in the optimization of cutting conditions for surface roughness. J Mater Process Technol 170: 11–16

  30. Ceolho V (2011) Effects of stress loading and fiber angle on the mechanical properties of GFRP composites. Engenharia Térmica (Therm Eng) 10:03–06

    Google Scholar 

  31. Mittal ND, Jain NK (2008) Effect of fibre orientation on stress concentration factor in a laminate with central circular hole under transverse static loading. Iran J Eng Mater Sci 15:452–458

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Mécanique de Sousse (LMS), Ecole Nationale d’Ingènieurs de Sousse (ENISO), Université de Sousse, BP 264, Cité Erriadh, 4023, Sousse, Tunisie

    Mhalla Mohamed Makki, Bahloul Ahmed & Bouraoui Chokri

Authors
  1. Mhalla Mohamed Makki
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bahloul Ahmed
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Bouraoui Chokri
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mhalla Mohamed Makki.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Makki, M.M., Ahmed, B. & Chokri, B. Reliability prediction of the stress concentration factor using response surface method. Int J Adv Manuf Technol 94, 817–826 (2018). https://doi.org/10.1007/s00170-017-0910-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-017-0910-0

Keywords

Search

Navigation