Experimental Mechanics

, Volume 33, Issue 2, pp 133–138 | Cite as

Revisit to the determination of stress-intensity factors and J-integrals using the caustics method

  • O. S. Lee
  • S. K. Hong
  • Y. S. Kim


Applications of the optical (shadow) method of reflective caustics to measurement of the stress-intensity factor andJ integral in various specimens are investigated. The necessary experimental requirements to help determine accurate stress-intensity factor andJ integral are described. The ratios ofro (radius of initial curve)/rp (plastic-zone size) andro/t(thickness of specimen) are found to be very important experimental parameters to obtain meaningful stress and/or strain intensities surrounding crack tips. The appropriate ranges to determine accurate values of stress-intensity factor andJ integral for polycarbonate (compact tension) and aluminum (c-shaped tension) specimens are presented.


Aluminum Mechanical Engineer Fluid Dynamics Polycarbonate Experimental Parameter 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Manogg, P., “Investigation of the Rupture of a Plexiglas Plate by Means of an Optical Method Involving High Speed Filming of the Shadow Originating Around Holes Drilling in the Plate,”Int. J. of Frac. Mech.,2,604–613 (1966).Google Scholar
  2. 2.
    Theocaris, P.S. andStassinakis, C.A., “The Elastic Contact of Two Disks by the Method of Caustics,”Experimental Mechanics,18,409–415 (1978).CrossRefGoogle Scholar
  3. 3.
    Lee, O.S. andKwon, O.K., “An Experimental Study on Crack Healing of Various Glassy Polymers,”KSME J.,1 (1),65–69 (1987).MathSciNetGoogle Scholar
  4. 4.
    Lee, O.S. andKnauss, W.G., “Dynamic Crack Propagation Along a Weakly Bonded Plane in a Polymer,”Experimental Mechanics,29,342–345 (1989).Google Scholar
  5. 5.
    Kobayashi, A.S., “Shadow Optical Method of Caustics,” Handbook on Experimental Mechanics, ed. A. S. Kobayashi, 430–500 (1987).Google Scholar
  6. 6.
    Narasimhan, R. andRosakis, A.J.A Finite Element Analysis of Small-scale Yielding near a Stationary Crack Under Plane Stress,”J. Mech. Phys. Solids,36 (1),77–117 (1988).Google Scholar
  7. 7.
    Lee, O.S. andPark, K.Y., “A Fundamental Study of J-integral Using the Method of Caustics for Polycarbonate,”KSAE J.,12 (1),26–32 (1990).MathSciNetGoogle Scholar
  8. 8.
    Rosakis, A.J. Experimental Determination of the Fracture Initiation and Dynamic Crack Propagation Resistance of Structural Steels by the Optical Method of Caustics,” PhD Thesis, Calif. Inst. of Tech. (June 1982).Google Scholar
  9. 9.
    Rosakis, A.J., Ma, C.C. andFreund, L.B., “Analysis of the Optical Shadow Spot Method for the Tensile Crack in a Power-law Hardening Material,”J. Appl. Mech.,50,777–782 (1983).Google Scholar
  10. 10.
    Zehnder, A.T. andRosakis, A.J., “A Note on the Measurement of K and J Under Small Scale Yielding Conditions Using the Method of Caustics, Int. J. Frac.,30,R43-R48 (1986).CrossRefGoogle Scholar
  11. 11.
    Hutchinson, J.W., “Singular Behaviour at the End of Tensile Crack,”J. Mech. Phys. Solids,16,13–31 (1968).MATHGoogle Scholar
  12. 12.
    D. Broek, “The Practical Use of Fracture Mechanics,” Kluwer Academic Publishers, 102–107 (1988).Google Scholar
  13. 13.
    Owen, D.R.J., Fawkes, A.J., “Engineering Fracture Mechanics: Numerical Method and Applications,” Pineridge Press (1983).Google Scholar
  14. 14.
    Rosakis, A.J. andFreund, L.B., “Optical Measurement of the Plastic Strain Concentration at the Tip in a Ductile Steel Plate,”J. of Eng. Mat. and Tech.,104,115–120 (1982).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1993

Authors and Affiliations

  • O. S. Lee
    • 1
  • S. K. Hong
    • 1
  • Y. S. Kim
    • 1
  1. 1.Inha UniversityInchonKorea

Personalised recommendations