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The determination of mode I stress-intensity factors by holographic interferometry

A technique for estimatingK I using PMMA models is described and applied to a problem involving a transverse crack emanating from a circular hole in sheets of differing widths

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Abstract

The use of linear elastic fracture mechanics generally depends upon the availability of suitable analytical or numerical solutions for the relevant crack-tip stress-intensity factor,K. Convenient experimental verification of such solutions is a valuable aid to their correct application and can provide a practical substitute in real design situations of great complexity.

A convenient, new experimental technique for estimating the Mode I stress-intensity factor using holographic interferometry and test pieces cut from thin sheets of commercially available polymethylmethacrylate is described and demonstrated. The test pieces can readily be prepared to model any desired Mode I geometry and boundary conditions. In addition, a prior self-calibration procedure can be employed to enhance both convenience and accuracy. Real-time interference-fringe data from the crack-tip region are easily reduced and plotted to yield a straight line whose slope provides a one-parameter evaluation of the effect of geometry on the stress-intensity factor. This information, together with the crack length and applied stress, completely definesK.

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References

  1. Irwin, G. R., “Fracture Mechanics,” Structural Mechanics, Pergamon Press, New York, 557–92 (1960).

    Google Scholar 

  2. Paris, P. C. andSih, G., “Stress Analysis of Cracks,”Fracture Toughness Testing and Its Applications, ASTM Special Technical Publication 381, 30–81 (1965).

    Google Scholar 

  3. Irwin, G. R. andKies, J. A., “Critical Energy Rate Analysis of Fracture Strength,”Welding Research Supplement,33,193S-198S (April1954).

    Google Scholar 

  4. Irwin, G. R., “Discussion (of paper by Wells & Post),”Proceedings SESA,16 (1),93–96 (1958).

    Google Scholar 

  5. Maloff, R. H., Leven, M. M., Ringler, T. N. andJohnson, R. L., “Photoelastic Determination of Stress-intensity Factors,”Experimental Mechanics,11 (12),529–539 (1971).

    Google Scholar 

  6. Frocht, M. M., “Photoelasticity,”1, 2,John Wiley & Sons,New York (1948).

    Google Scholar 

  7. Dudderar, T. D. andO’Regan, R., “Measurement of the Strain Field Near a Crack Tip in Polymethylmethacrylate by Holographic Interferometry,”Experimental Mechanics,11 (2),49–56 (1971).

    Article  Google Scholar 

  8. Dudderar, T. D. and O’Regan, R., “Holographic Interferometry in Materials Research and Fracture Mechanics,” Int’l. J. of Nondestructive Testing, in press.

  9. O’Regan, R. andDudderar, T. D., “A New Holographic Interferometer for Stress Analysis,”Experimental Mechanics,11 (6),241–247 (1971).

    Google Scholar 

  10. Nisida, M. andSaito, H., “A New Interferometric Method for Two-dimensional Stress Analysis,”Experimental Mechanics,4 (12),366–376 (1964).

    Article  Google Scholar 

  11. Bowie, O. L., “Analysis of an Infinite Plate Containing Radial Cracks Originating at the Boundary of an Internal Circular Hole,”J. of Mech. and Phys.,35,60–71 (1956).

    MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Bell Laboratories, 07074, Murray Hill, NJ

    T. D. Dudderar (Member of Technical Staff)

  2. U. S. Army Electronics Command, Fort Monmouth, NJ

    H. J. Gorman (Engineer)

Authors
  1. T. D. Dudderar
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  2. H. J. Gorman
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was formerly with Bell Laboratories.

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Dudderar, T.D., Gorman, H.J. The determination of mode I stress-intensity factors by holographic interferometry. Experimental Mechanics 13, 145–149 (1973). https://doi.org/10.1007/BF02322667

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  • DOI: https://doi.org/10.1007/BF02322667

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