Photoelastic Analysis of Cracked Thick Walled Cylinders

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Abstract

In this paper, the experimental determination of the stress intensity factor in thick walled cylinders subject to uniform internal pressure and having longitudinal non-penetrating cracks is presented. Photoelastic measurements were used together with the expressions of the stress field near the crack tip for Mode I crack extension and a specific methodology for stress intensity factor determination. Two types of longitudinal cracks - internal and external - were considered. Four plane models were manufactured and analyzed in a plane polariscope at different values of the applied internal pressure. The values of the normalized stress intensity factor were calculated and the results were compared to those reported by other authors. A good accuracy was noticed, showing the reliability of the experimental procedure.

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  • 1. J.M. Etheridge J.W. Dally A Critical Review of Methods for Determining Stress-Intensity Factors from Isochromatic Fringes Experimental Mechanics Vol. 17 No. 7 pp. 248-254 (1977).

  • 2. G.R. Irwin Analysis of Stresses and Strains Near the End of a Crack Traversing a Plate Journal of Applied Mechanics Vol. 24 pp. 361-364 (1957).

  • 3. W.B. Bradley A.S. Kobayashi An Investigation of Propagating Cracks by Dynamic Photoelasticity Experimental Mechanics Vol. 10 No. 3 pp. 106-113 (1970).

  • 4. M.A. Schroedel C.W. Smith Local Stresses Near Deep Surface Flaws Under Cylindrical Bonding Fields in Progress in Flaw Growth and Fracture Toughness Testing ASTM STP 536 ATM pp. 45-63 (1973).

  • 5. C.W. Smith Stress Intensity and Flaw-shape Variations in Surface Flaws Experimental Mechanics Vol. 20 No. 4 pp 126-133 (1980).

  • 6. J.M. Etheridge J.W. Dally A Three Parameter Method for Determining Stress Intensity Factors from Isochromatic Fringe Loops Journal of Strain Analysis Vol. 13 No. 2 pp. 91-94 (1978).

  • 7. R. Chona G.R. Irwin R.J. Sanford Influence of the Specimen Size and Shape on the Singularity-Dominated Zone in Fracture Mechanics: 14th Symposium - Volume I: Theory and Analysis ASTM STP 868 J.C. Lewis and G. Sines Eds. American Society for Testing and Materials pp. I3-I23 (1983).

  • 8. R.J. Sanford J.W. Dally A General Method for Determining Mixed-Mode Stress Intensity Factors from Isochromatic Fringe Patterns Engineering Fracture Mechanics Vol. 11 No. 4 pp. 621-633 (1979).

  • 9. R.J. Sanford Application of the Least-Squares Method to Photoelastic Analysis Experimental Mechanics Vol. 20 No. 6 pp. 192-197 (1980).

  • 10. R.J. Sanford Determining Fracture Mechanics Parameters with Full-Field Optical Methods Experimental Mechanics Vol. 29 No. 3 pp. 241-247 (1989).

  • 11. R.J. Sanford The Influence of Non-singular Stresses on Experimental Measurements of the Stress Intensity Factor in Modeling Problems in Crack Tip Mechanics - 10th International Conference on Fracture Mechanics Waterloo Canada August 24-26 pp. 317-323 (1983).

  • 12. T.H. Hyde N.A. Warrior An Improved Method for the Determination of Photoelastic Stress Intensity Factors Using the Westergaard Stress Function International Journal of Mechanical Science Vol. 32 No. 3 pp. 265-273 (1990).

  • 13. M. Mahinfalah L. Zackery Photoelastic Determination of Mixed Mode Stress Intensity Factors for Sharp Re-entrant Corners Engineering Fracture Mechanics Vol. 52 No. 4 pp. 639-645 (1995).

  • 14. L. Stepanova P. Roslyakov P. Lomakov A Photoelastic Study for Multiparametric Analysis of the Near Crack Tip Stress Field Under Mixed Mode Loading Procedia Structural Integrity Vol. 2 pp.1797-1804 (2016).

  • 15. P. Patil C.P. Vyasarayani M. Ramji Linear least squares approach for evaluating crack tip fracture parameters using isochromatic and isoclinic data from digital photoelasticity Optics and Lasers in Engineering Vol. 93 pp.182-194 (2017).

  • 16. E. Umezaki K. Kodamaand A. Shimamoto Evaluating the Stress Intensity Factor Using White Light Photoelastic Experiment Metals and Materials International Vol. 7 No. 1 pp. 49-53 (2001).

  • 17. A. Cirello F. Furgiuele C. Maletta A. Pasta Numerical simulations and experimental measurements of the stress intensity factor in perforated plates Engineering Fracture Mechanics Vol. 75 No. 15 pp. 4383-4393 (2008).

  • 18. F.A. Diaz E.A. Patterson P. Siegmann A Novel Experimental Approach for Calculating Stress Intensity Factors from Isochromatic Data Experimental Mechanics Vol. 50 No. 2 pp. 273-281 (2010).

  • 19. Smith C.W. Kobayashi A.S. "Experimental Fracture Mechanics" Ch. 19 of Handbook on Experimental Mechanics SEM Inc. A.S. Kobayashi Ed. Prentice-Hall Inc. Englewood Cliffs NJ pp.891-956 1987. (1966).

  • 20. C.W. Smith Cracking at Nozzle Corners in the Nuclear Pressure Vessel Industry in Case Histories Involving Fatigue and Fracture Mechanics ASTM STP 918 C.M. Hudson and T.P. Rich Eds. American Society for Testing and Materials pp. 31-45 (1986).

  • 21. Pastramă Ş.D. Contribuţii la studiul tensiunilor şi al factorului de intensitate a tensiunii la învelişuri cu fisuri de suprafaţă (Contributions to the study of the stress field and the stress intensity factor in shells with surface cracks) PhD thesis University “Politehnica” of Bucharest (1997) - in Romanian.

  • 22. D.P. Kendall Stress Intensity Factor Equations for Pressurized Thick Wall Cylinders International Journal of Fracture Vol. 30 No. 1 pp. R17-R19 (1986).

  • 23. C.P. Andrasic A.P. Parker Dimensionless Stress Intensity Factors for Cracked Thick Cylinders under Polynomial Face Loadings Engineering Fracture Mechanics Vol. 19 No. 1 pp. 187-193 (1984).

  • 24. Ş.D. Pastramă P.M.S. Tavares de Castro Weight Functions from Finite Element Displacements International Journal of Pressure Vessels and Piping Vol. 75 No. 3 pp. 229-236 (1998).

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