An Approach to General 3-D Stress Analysis by Multidirectional Scattered Light Technique

  • Takahiro Oi
  • Masahisa Takashi
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 82)


Scattered light photoelasticity provides a nondestructive analysis of stress components on a plane layer in the incident light path. For general three dimensional stress fields, however, the effect of birefringent axis rotation has to be taken into account, and hence the technique has been limited only in application to plane stress or symmetrical stress distributions.

In this study, the authors propose a method for determining not only the secondary principal stress difference, but also its direction, using multiple image data obtained by combination of the angles of incident polarization light and observation. As an example, a sphere under a pair of diametrical compressive forces is analysed to determine both the principal stress difference, and their directions in layers, with or without the rotation of the principal birefringent axis. The results show good agreement with theoretical analysis.


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  1. [1]
    Theocaris, P.S. and Gdoutos, E.E. (1979) Matrix Theory of Photoelasticity, Springer Series in Optical Sciences, BerlinGoogle Scholar
  2. [2]
    Azzam, R.M.A.A. and Bashara, N.M. (1977) Ellipsometry and Polarized Light, North-Holland Personal Library, ElsevierGoogle Scholar
  3. [3]
    Sternberg, E. and Rosenthal, F. (1952) J. Appl. Mech., 19-4, 413MathSciNetGoogle Scholar
  4. [4]
    Weber, C. (1952) Z. AMM, 32-6, 186.MATHGoogle Scholar
  5. [5]
    Timoshenko, S.P. (1959) Theory of Plates and Shells, McGraw-Hill, 561Google Scholar
  6. [6]
    Ulitko, A.F. (1968) Prikladnaya Mekhanika, 4-5, 38Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Takahiro Oi
    • 1
  • Masahisa Takashi
    • 1
  1. 1.Aoyama Gakuin UniversityTokyoJapan

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