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Applied Optics

Applied Optics


  • Vol. 12, Iss. 8 — Aug. 1, 1973
  • pp: 1831–1833

Thermal Stresses in Cryogenic Windows

V. Biricikoglu  »View Author Affiliations

Applied Optics, Vol. 12, Issue 8, pp. 1831-1833 (1973)

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Transmissive windows designed to operate at low temperatures are subject to repeated thermal cycling, which may crack the window. This paper derives a simple expression for the stresses developed at the edge of a circular window. These stresses depend upon the lowest service temperature, the elastic moduli of window and holder, the mismatch in the coefficients of thermal expansion, and the holder and window thicknesses. For a given material pair, there is a critical holder thickness that will initiate fracture in the window. A graph is provided to facilitate the determination of holder thickness.

© 1973 Optical Society of America

Original Manuscript: January 8, 1973
Published: August 1, 1973

V. Biricikoglu, "Thermal Stresses in Cryogenic Windows," Appl. Opt. 12, 1831-1833 (1973)

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  1. F. B. Hildebrand, E. Reissner, G. B. Thomas, “Notes on the Foundations of the Theory of Small Displacements of Orthotropic Shells,” NACA Technical Note 1833 (1949).
  2. V. Biricikoglu, A. Kalnins, Intern. J. Solids Structures 7, 431 (1971). [CrossRef]
  3. M. Goland, E. Reissner, J. Appl. Mech. 66, A-17 (1944).

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