OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 22, Iss. 4 — Feb. 15, 1983
  • pp: 554–559

Optically exact equations of caustics for slant cracks biaxially loaded

P. S. Theocaris and J. Michopoulos  »View Author Affiliations

Applied Optics, Vol. 22, Issue 4, pp. 554-559 (1983)

View Full Text Article

Enhanced HTML    Acrobat PDF (620 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The equations of caustics have been derived based on the exact theory of geometrical optics, and they have been adapted to the problem of a slanting internal crack in a disk under biaxial loading. A comparison of the exact caustics with those derived from the far-field theory used in the past in the applications showed negligible difference between the two theories. Thus, it is shown that the approximate theory of caustics used before for determining singular fields in mechanics is sufficiently accurate for engineering applications.

© 1983 Optical Society of America

Original Manuscript: August 14, 1982
Published: February 15, 1983

P. S. Theocaris and J. Michopoulos, "Optically exact equations of caustics for slant cracks biaxially loaded," Appl. Opt. 22, 554-559 (1983)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. Manogg, “Anwendung der Schattenoptik zur Untersuchung des Zerreissvorgangs von Platten,” Dis. 4/64, U. Freiburg, 1964.
  2. P. Manogg, Int. J. Fract. Mech. 2, 604 (1966).
  3. P. S. Theocaris, J. Appl. Mech. 37, 409 (1970). [CrossRef]
  4. P. S. Theocaris, Appl. Opt. 10, 2240 (1971). [CrossRef] [PubMed]
  5. H. Favre, Rev. Opt. 8, 193 (1929).
  6. P. S. Theocaris, J. G. Michopoulos, “The Exact Form of Caustics in Mixed-Mode Fracture: A Comparison with Approximate Solutions,” Acta Mech.45, (1982), to appear.
  7. P. S. Theocaris, J. G. Michopoulos, Appl. Opt. 21, 1080 (1982). [CrossRef] [PubMed]
  8. D. L. Shealy, D. G. Burkhard, Opt. Acta 20, 287 (1973). [CrossRef]
  9. D. G. Burkhard, D. L. Shealy, J. Opt. Soc. Am. 63, 299 (1973). [CrossRef]
  10. D. G. Burkhard, D. L. Shealy, Appl. Opt. 20, 897 (1981). [CrossRef] [PubMed]
  11. D. G. Burkhard, Appl. Opt. 19, 3682 (1980). [CrossRef] [PubMed]
  12. P. S. Theocaris, J. Strain Anal. 8, 267 (1973). [CrossRef]
  13. P. S. Theocaris, J. G. Michopoulos, “A Closed-Form Solution of a Slant Crack Under Biaxial Loading,” Eng. Fract. Mech.16, (1982) to appear.
  14. J. Eftis, N. Subramonian, Eng. Fract. Mech. 10, 43 (1978). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited