OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 31, Iss. 24 — Aug. 20, 1992
  • pp: 5080–5085

Elastic stability, free vibrations, and bending of optical glass fibers: effect of the nonlinear stress–strain relationship

E. Suhir  »View Author Affiliations

Applied Optics, Vol. 31, Issue 24, pp. 5080-5085 (1992)

View Full Text Article

Enhanced HTML    Acrobat PDF (593 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We evaluate the effect of the nonlinear stress–strain relationship on elastic stability, free vibrations, and bending of optical glass fibers. The analysis is carried out under an assumption that this relationship, obtained for the case of uniaxial tension is also valid in the case of compression, and is applicable to bending deformations as well. We examine low-temperature microbending of infinitely long dual-coated fibers, elastic stability of short bare fibers, free vibrations of long fused portions of light-wave couplers that are subjected to uniaxial tension, and bending deformations of optical fibers that experience large deflections. We conclude that the nonlinear stress–strain relationship in silica materials can have a significant effect on the mechanical behavior of optical fibers and that, since the experimental data were obtained for tensile strains not exceeding 5%, future experimental research should include evaluation of the nonlinear stress–strain relationship, both in tension and compression, for higher strains and for high-strength fibers (such as, for instance, fibers protected by metallic coatings).

© 1992 Optical Society of America

Original Manuscript: November 7, 1991
Published: August 20, 1992

E. Suhir, "Elastic stability, free vibrations, and bending of optical glass fibers: effect of the nonlinear stress–strain relationship," Appl. Opt. 31, 5080-5085 (1992)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. F. P. Mallinder, B. A. Proctor, “Elastic constants of fused silica as a function of large tensile strain,” Phys. Chem. Glasses 5, 91–103 (1964).
  2. J. T. Krause, L. R. Testardi, R. N. Thurston, “Deviations from linearity in the dependence of elongation upon force for fibers of simple glass formers and of glass optical lightguides,” Phys. Chem. Glasses 20, 135–139 (1979).
  3. G. S. Glaesemann, S. T. Gulati, J. D. Helfinstine, “Effect of strain and surface composition on Young’s modulus of optical fibers,” in Optical Fiber Communications Conference, Vol. 1 of 1988 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1988), paper TUG5.
  4. D. Gloge, “Bending loss in multimode fibers,” Appl. Opt. 11, 2506–2513 (1972). [CrossRef] [PubMed]
  5. W. B. Gardner, “Microbending loss in optical fibers,” Bell Syst. Tech. J. 54, 457–465 (1975).
  6. E. Suhir, “Effect of initial curvature on low temperature microbending in optical fibers,” IEEE J. Lightwave Technol. 6, 1321–1327 (1988). [CrossRef]
  7. Y. Katsuyama, Y. Mitsunaga, Y. Ishida, K. Ishihara, “Transmission loss of coated single-mode fibers at low temperatures,” Appl. Opt. 19, 4200–4205 (1980). [CrossRef] [PubMed]
  8. E. Suhir, “Spring constant in the buckling of dual-coated optical fibers,” IEEE J. Lightwave Technol. 6, 1240–1244 (1988). [CrossRef]
  9. E. Suhir, “Stresses in dual-coated optical fibers,” J. Appl. Mech. 55, 822–830 (1988). [CrossRef]
  10. S. P. Timoshenko, J. M. Gere, Theory of Elastic Stability (McGraw-Hill, New York, 1961).
  11. E. Suhir, “Structural analysis in microelectronic and fiber-optic systems,” Basic Principles of Engineering Elasticity and Fundamentals of Structural Analysis. (Van Nostrand, New York, 1991), Vol. 1.
  12. C. R. Kurkjian, AT&T Bell Laboratories, Murray Hill, N.J. 07974–0636 (personal communication).
  13. J. B. Murgatroyd, “The strength of glass fibers,” J. Soc. Glass Technol. 28, 388–405 (1944).
  14. P. W. France, M. J. Paradine, M. H. Reevee, G. R. Newns, “Liquid nitrogen strength of coated optical glass fibers,” J. Mater. Sci. 15, 825–830 (1980). [CrossRef]
  15. S. F. Cowap, S. D. Brown, “Static fatigue testing of a hermetically sealed optical fiber,” Am. Ceram. Soc. Bull. 63, 495–500 (1984).
  16. M. J. Matthewson, C. R. Kurkjian, S. T. Gulati, “Strength measurement of optical fibers by bending,” J. Am. Ceram. Soc. 69, 815–821 (1986). [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.


Fig. 1 Fig. 2 Fig. 3

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited