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Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 82))

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Abstract

In the case of weak birefringence integrated photoelasticity allows for the determination of the distribution of the normal stress in any section of a 3-D specimen. In the case of axial symmetry distribution of the shear stress can also be determined. The question arises how to determine the other stress components. This problem of hybrid mechanics is especially complicated by investigating residual stresses in glass since residual stresses are caused by incompatibility of residual deformations. Due to that, direct application of the compatibility equations is not possible. In this paper formulas are derived for the complete determination of residual stresses in glass in the axisymmetric case and in the case of plane deformation. Examples of complete residual stress analysis are given.

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References

  1. Aben, H.: Integrated Photoelasticity, McGraw-Hill, New York et al., 1979.

    Google Scholar 

  2. Aben, H.K., Josepson, J.I., and Kell, K-J.E.: The case of weak birefringence in integrated photoelasticity. Optics and Lasers in Eng, 11 (1989), 145–X7.

    Article  ADS  Google Scholar 

  3. Aben, H., Josepson, J., and Puro, A.: Cases of weak and strong birefringence in integrated photoelasticity. In M.Kh. Akhmetzjanov, S.I. Gerasimov, and K.L. Komarov (eds.), Photomechanics’ 95. Proc. SPIE, vol. 2791, 1996, pp. 2–7.

    Google Scholar 

  4. Doyle, J.F., and Danyluk, H.T.: Integrated photoelasticity for axisymmetric problems. Exp. Mech. 18 (1978), 215–220.

    Article  Google Scholar 

  5. Doyle. J.F.: Closed-form inversion of the axisymmetric integrated photoelasticity equations. J. Appl. Mech. 47 (1980), 431–433.

    Article  Google Scholar 

  6. Bartenev, G.M.: The Structure and Mechanical Properties of Inorganic Glasses. Wolters-Nordhoff Publ., Groningen, 1970.

    Google Scholar 

  7. Gardon, R.: Thermal tempering of glass. In D.R. Uhlmann, and N.J. Kreidl (eds.), Elasticity and Strenght of Glass. Glass: Science and Technology. 5. Academic Press, New York, 1980, pp. 196–217.

    Google Scholar 

  8. Melan, E., and Parkus, H.: Wärmespunnungen infolge stationärer Temperuturjelder. Springer-Verlag, Wien. 1953.

    Google Scholar 

  9. O’Rourke, R.C.: Three-dimensional photoelasticity. J. Appl. Phys. 22 (1951), 872–878.

    Google Scholar 

  10. Aben, H., and Guillemet, C.: Photoelasticity of Glass. Springer-Verlag, Berlin et al., 1993.

    Google Scholar 

  11. Urbanczyk, W., and Pietraskiewicz, K.: Measurement of stress anisotropy in fiber preform: modification of the dynamic spatial filtering technique. Appl. Opt. 27 (1988), 4117–4122.

    Article  ADS  Google Scholar 

  12. Timoshenko, S., and Goodier, J.N.: Theory of Elasticity, McGraw-Hill, New York et al., 1951.

    MATH  Google Scholar 

  13. Herman, G.T.: Image Reconstruction from Projections. Academic Press, New York, 1980.

    MATH  Google Scholar 

  14. Aben, H.: Tomographie optique des champs de contraintes. Rev. Française de Méchunique, No 1 (1989), 121–130.

    Google Scholar 

  15. Aben, H.K., Idnurm, S. J., Josepson, J.I., Kell, K.-J.E., and Puro, A.: Optical tomography of the stress tensor field. In G. Levin (ed.), Analytical Methods for Optical Tomography, Proc. SPIE, vol. 1843, 1992, pp. 220–229.

    Google Scholar 

  16. Puro, A.E., and Kell, K.-J.E.: Complet determination of stress in fiber preforms of arbitrary cross section. J. Lightwave Technol. 10 (1992), 1010–1014.

    Article  ADS  Google Scholar 

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© 2000 Kluwer Academic Publishers

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Aben, H., Ainola, L. (2000). Hybrid Stress Analysis with Integrated Photoelasticity. In: Lagarde, A. (eds) IUTAM Symposium on Advanced Optical Methods and Applications in Solid Mechanics. Solid Mechanics and its Applications, vol 82. Springer, Dordrecht. https://doi.org/10.1007/0-306-46948-0_35

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  • DOI: https://doi.org/10.1007/0-306-46948-0_35

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6604-1

  • Online ISBN: 978-0-306-46948-0

  • eBook Packages: Springer Book Archive

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