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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 10, Iss. 10 — Oct. 1, 1971
  • pp: 2240–2247

Reflected Shadow Method for the Study of Constrained Zones in Cracked Plates

P. S. Theocaris  »View Author Affiliations


Applied Optics, Vol. 10, Issue 10, pp. 2240-2247 (1971)
http://dx.doi.org/10.1364/AO.10.002240


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Abstract

An optical method was developed for the study of constrained zones around cracks in transparent specimens made of birefringent materials under conditions of plane stress. The absolute retardations of light rays impinging normally at the plate, partly reflected from the back face, and twice refracted at the front face create a caustic when emerged from the plate, which has the shape of a generalized epicycloid, when it is projected on a screen far from the plate. The caustic defines the constrained zone surrounding a crack tip. The characteristic properties of the caustic were studied in relation to the straining mode of the plate.

© 1971 Optical Society of America

History
Original Manuscript: April 12, 1971
Published: October 1, 1971

Citation
P. S. Theocaris, "Reflected Shadow Method for the Study of Constrained Zones in Cracked Plates," Appl. Opt. 10, 2240-2247 (1971)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-10-10-2240


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References

  1. E. G. Coker, L. N. G. Filon, A Treatise on Photoelasticity (Cambridge U. P., Cambridge, 1957), pp. 204–210.
  2. H. Favre, Rev. Opt. 8, 5 (1929).
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  5. D. Post, Proc. Soc. Exp. Stress Anal. 12, 99 (1954).
  6. H. Favre, W. Schumann, “A Photoelastic-Interferometric Method to Determine Separately the Principal Stresses in Two-Dimensional States and Possible Applications to Surface and Thermal Stresses,” in Photoelasticity, Proc. Intern. Symp. Photoelasticity, M. M. Frocht, Ed. (Pergamon, New York, 1963), pp. 3–25.
  7. M. Born, E. Wolf, Principles of Optics (Pergamon, New York, 1970), pp. 41–47, 110–113.
  8. P. C. Paris, G. C. Sih, “Stress Analysis of Cracks,” Fracture Toughness Testing and its Applications, ASTM Sp. Tech. Publ. 381 (1969), pp. 30–81.
  9. P. S. Theocaris, J. Appl. Mech. 37, 409 (1970). [CrossRef]
  10. H. Henschen, Interferenzoptische Untersuchung der Spannungsverteilung von dem laufenden Bruch in Kunststoff CR-39, doctoral thesis, University of Freiburg, 1962. [PubMed]

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