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Integral photoelasticity relations for inhomogeneously strained dielectrics

Chekurin V. F.
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Keywords:

Abstract: 
A model for interaction of polarized light with inhomogeneously strained non-magnetizable dielectric solid is considered in the paper. The model establishes ray photoelasticity integrals connecting distributions of strain tensor components on any direction on the body volume with measurable optical parameters of polarized light beam propagating in this direction. The model can be used for developing mathematical methods for polarized-optical computational tomography of stress-strained states of dielectric solids.
References: 
  1. Dally J. W., Riley W. F. Experimental stress analysis. Fourth edition. McGraw-Hill Book Co. Inc: New York. 2005, 497 p.
  2. Zhang D., Han Y., Zhang B., Arola D. Automatic determination of parameters in photoelasticity. Optics and Laser in Engineering. 45, 860–867 (2007).
  3. Ramji M., Ramesh K. Whole field evaluation of stress components in digital photoelasticity – Issues, implementation and application. Optics and Lasers in Engineering. 46, 257–271 (2008).
  4. Dijkstra J. Broere W. New method of full-field stress analysis and measurement using photoelasticity. Geotechnical Testing Journal. 33, n.6, 1–13 (2010).
  5. Aben H. Integrated Photoelasticity. McGraw-Hill: New York, 1979.
  6. Ainola L., Aben H. On the optical theory of photoelastic tomography. J. Opt. Soc. Am. A 21, 1093–1101 (2004).
  7. Chekurin V. F. A variational method for solving of the problems of tomography of the stressed state of solids. Materials Science. 35, n.5, 623–633 (1999).
  8. Chekurin V. F. An approach to solving of stress state tomography problems of elastic solids with incompatibility strains. Mechanics of Solids. 35, n.6, 29–37 (2000).
  9. Wijerathne M, Oguni Kenji, Hori Muneo. Stress field tomography based on 3D photoelasticity. Journal of the Mechanics and Physics of Solids. 56, 1065–1085 (2008).
  10. Landau L. D., Lifshits E. M. Electrodynamics of continuous media: Pergamon Ptress: Oxford (1984).
  11. Lurie A. Theory of elasticity. Springer: Berlin Heidelberg New-York (2005).
  12. Doolan E., Miller J., Schilders W. Uniform numerical methods for problems with initial and boundary layers. Boole Press, Dublin (1980).
  13. Nayfeh A. Introduction to perturbation techniques. John Wiley & Sons: New York, Chicester, Brisnane, Toronto (1981).
  14. Azzam R., Bashara N. Ellipsometry and polarized light. North-Holland: Amsterdam (1977).
  15. Higham N. J. Functions of matrices: theory and computation. Society for Industrial and Applied Mathematics: Philadelphia, USA (2008).
Bibliography: 
Math. Model. Comput. Vol.1, No.2, pp.144-155 (2014)