Skip to main content
SpringerLink
Log in

Slitting Measurement of Residual Hoop Stresses Through the Wall-Thickness of a Filament Wound Composite Ring

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

The slitting method was used to determine residual hoop stress profile along the thickness of a filament wound carbon/epoxy ring. The method involves measuring strains at the inner surface of the ring, while a narrow axial slit is cut progressively from the outer surface. In order to calculate the residual hoop stress profile over the entire ring thickness, pulse method was used, which assumes that stress in each depth increment is uniform. Besides, Tikhonov regularization was employed to stabilize the stress results and reduce its sensitivity to strain measurement errors. Regarding the fact that Tikhonov regularization is not appropriate for computing solutions with discontinuities, pulse method coupled with Tikhonov regularization was used separately for each layer of the composite ring.

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
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Sachs G, Espey G (1941) Measurement of residual stresses in metal. Iron Age, 148, Sept. 18, pp. 63–71; Sept. 25, pp. 36–42

  2. Olson WA, Bert CW (1966) Analysis of residual stresses in bars and rings of cylindrically orthotropic materials. Exp Mech 6:451–457

    Article  Google Scholar 

  3. de Swardt RR (2003) Finite element simulation of the Sachs boring method of measuring residual stresses in thick-walled cylinders. J Press Vessel Technol 125:274–276

    Article  Google Scholar 

  4. Ersoy N, Vardar O (2000) Measurement of residual stresses in layered composites by compliance method. J Compos Mater 34:575–598

    Google Scholar 

  5. Finnie S, Cheng W, Finnie I (2003) The computation and measurement of residual stresses in laser deposited layers. J Eng Mater Technol 125:1–7

    Article  Google Scholar 

  6. Gremaud M, Cheng W, Finnie I, Prime MB (1994) The compliance method for measurement of near surface residual stresses—analytical background. J Eng Mater Technol 116:550–555

    Article  Google Scholar 

  7. Prime MB, Hellwig C (1997) Residual stresses in a bi-material laser clad measured using compliance. The Fifth International Conference on Residual Stresses, vol 1. Linköping University, Sweden, pp 127–132, ISBN 91-7219-212-7

    Google Scholar 

  8. Ekbote B, Kwon P, Prime MB (2006) Micromechanics-based design and processing of efficient meso-scale heat exchanger. 21st Annual Technical Conference of American Society for Composites, Sep. 17–20, Dearborn, MI

  9. Jun TS, Venter AM, Korsunsky AM (2011) Inverse eigenstrain analysis of the effect of non-uniform sample shape on the residual stress due to shot peening. Exp Mech 51(2):165–174

    Article  Google Scholar 

  10. Jun TS, Korsunsky AM (2010) Evaluation of residual stresses and strains using the eigenstrain reconstruction method. Int J Solids Struct 47(13):1678–1686

    Article  MATH  Google Scholar 

  11. Schajer GS (1988) Measurement of non-uniform residual stresses using the hole-drilling method, Part I: stress calculation procedures. J Eng Mater Technol 110(4):338–343

    Article  Google Scholar 

  12. Schajer GS, Prime MB (2007) Residual stress solution extrapolation for the slitting method using equilibrium constraints. J Eng Mater Technol 129:227–232

    Article  Google Scholar 

  13. Tjhung T, Li K (2003) Measurement of in-plane residual stresses varying with depth by the interferometric strain/slope rosette and incremental hole-drilling. J Eng Mater Technol 125(2):153–162

    Article  Google Scholar 

  14. Prime MB (1999) Residual stress measurement by successive extension of a slot: the crack compliance method. J Appl Mech 52(2):75–96

    Article  Google Scholar 

  15. Schajer GS (2010) Advances in hole-drilling residual stress measurements. Exp Mech 50(2):159–168

    Article  Google Scholar 

  16. Schajer GS (2010) Relaxation methods for measuring residual stresses: techniques and opportunities. Exp Mech 50(8):1117–1127

    Article  Google Scholar 

  17. Winiarski B, Withers PJ (2012) Micron-scale residual stress measurement by micro-hole drilling and digital image correlation. Exp Mech 52(4):417–428

    Article  Google Scholar 

  18. Schajer GS (2007) Hole-drilling residual stress profiling with automated smoothing. J Eng Mater Technol 129(3):440–445

    Article  Google Scholar 

  19. Tikhonov A, Goncharsky A, Stepanov V, Yagola A (1995) Numerical Methods for the Solution of Ill-Posed Problems. Kluwer, Dordrecht

    Book  MATH  Google Scholar 

  20. MATLAB Release 14 (2004) The MathWorks, Natick, MA

  21. Finnie I, Cheng W (1995) Residual stresses and fracture mechanics. ASME J Eng Mater Technol 117:373–378

    Article  Google Scholar 

  22. ANSYS Academic Research (2009) Release 12.0 documentation. Canonsburg (PA, United States): ANSYS Inc

  23. Kim SS, Murayama H, Kageyama K, Uzawa K, Kanai M (2012) Study on the curing process for carbon/epoxy composites to reduce thermal residual stress. Composites A 43(8):1197–1202

    Article  Google Scholar 

  24. Kim H-S, Yoo S-H, Chang S-H. (2013) In situ monitoring of the strain evolution and curing reaction of composite laminates to reduce the thermal residual stress using FBG sensor and dielectrometry. Composites Part B 44(1):446–452. doi: 10.1016/j.compositesb

  25. Xue J, Wang W-X, Takao Y, Matsubara T (2011) Reduction of thermal residual stress in carbon fiber aluminum laminates using a thermal expansion clamp. Composites A 42(8):986–992

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Composites Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Narmak, 16846-13114, Iran

    S. Akbari, F. Taheri-Behrooz & M. M. Shokrieh

Authors
  1. S. Akbari
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. F. Taheri-Behrooz
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. M. Shokrieh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F. Taheri-Behrooz.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akbari, S., Taheri-Behrooz, F. & Shokrieh, M.M. Slitting Measurement of Residual Hoop Stresses Through the Wall-Thickness of a Filament Wound Composite Ring. Exp Mech 53, 1509–1518 (2013). https://doi.org/10.1007/s11340-013-9768-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11340-013-9768-8

Keywords

Search

Navigation