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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 51, Iss. 12 — Apr. 20, 2012
  • pp: 2088–2097

Full-field digital gradient sensing method for evaluating stress gradients in transparent solids

Chandru Periasamy and Hareesh V. Tippur  »View Author Affiliations


Applied Optics, Vol. 51, Issue 12, pp. 2088-2097 (2012)
http://dx.doi.org/10.1364/AO.51.002088


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Abstract

A full-field digital gradient sensing method is proposed for measuring small angular deflections of light rays due to local stresses in transparent planar solids. The working principle of the method is explained, and the governing equations are derived. The analysis shows that angular deflections of light rays can be linked to nonuniform changes in thickness and refractive index of the material. In mechanically loaded planar solids, the angular deflections can be further related to spatial gradients of first invariant of stresses under plane stress conditions. The proposed method is first demonstrated by capturing the angular deflection fields in two orthogonal directions for a thin plano-convex lens. The measured contours of constant angular deflection of light rays are in good agreement with the expected ones for a spherical wavefront. The method is also successfully implemented to study a stress concentration problem involving a line load acting on an edge of a large planar sheet. Again, the stress gradients, measured simultaneously along and perpendicular to the loading directions, are in good agreement with the analytical predictions. The measured stress gradients have also been used to estimate stresses in the load point vicinity where plane stress results hold.

© 2012 Optical Society of America

OCIS Codes
(100.2000) Image processing : Digital image processing
(120.3940) Instrumentation, measurement, and metrology : Metrology
(280.4788) Remote sensing and sensors : Optical sensing and sensors

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: October 11, 2011
Manuscript Accepted: February 27, 2012
Published: April 18, 2012

Citation
Chandru Periasamy and Hareesh V. Tippur, "Full-field digital gradient sensing method for evaluating stress gradients in transparent solids," Appl. Opt. 51, 2088-2097 (2012)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-51-12-2088


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References

  1. W. N. Sharpe, ed., Handbook of Experimental Solid Mechanics (Springer, 2008).
  2. N. Shukla and J. W. Dally, Experimental Solid Mechanics(College House, 2010).
  3. M. A. Sutton, U. Orteu, and H. Schreier, Image Correlation for Shape, Motion and Deformation Measurements (Springer, 2009).
  4. E. Strassburger, “Ballistic testing of transparent armour ceramics,” J. Eur. Ceram. Soc. 29, 267–273 (2009). [CrossRef]
  5. P. Patel, G. A. Gilde, P. G. Dehmer, and J. W. McCauley, “Transparent armor,” AMPTIAC Newsletter 4(3), 1–9 (2000).
  6. S. Iwamoto, A. N. Nakagaito, H. Yano, and M. Nogi, “Optically transparent composites reinforced with plant fiber-based nanofibers,” Appl. Phys. A: Mater. Sci. Process. 81, 1109–1112 (2005). [CrossRef]
  7. E. J. A. Pope, M. Asami, and J. D. Mackenzie, “Transparent silica gel-PMMA composites,” J. Mater. Res. 4, 1018–1026 (1989). [CrossRef]
  8. S. Ravi, “Development of transparent composite for photoelastic studies,” Adv. Compos. Mater. 7, 73–81 (1998).
  9. H. Yano, J. Sugiyama, A. N. Nakagaito, M. Nogi, T. Matsuura, M. Hikita, and K. Handa, “Optically transparent composites reinforced with networks of bacterial nanofibers,” Adv. Mater. 17, 153–155 (2005). [CrossRef]
  10. H. V. Tippur, “Coherent gradient sensing—a Fourier optics analysis and applications to fracture,” Appl. Opt. 31, 4428–4439 (1992). [CrossRef]
  11. H. V. Tippur, “Coherent gradient sensing (CGS) method for fracture mechanics: a review,” Fatigue Fract. Eng. Mater. Struct. 33, 832–858 (2010). [CrossRef]
  12. H. V. Tippur, S. Krishnaswamy, and A. J. Rosakis, “Optical mapping of crack tip deformations using the methods of transmission and reflection coherent gradient sensing—a study of crack tip K-dominance,” Int. J. Fract. 52, 91–117 (1991).
  13. H. V. Tippur and A. J. Rosakis, “Quasi-static and dynamic crack-growth along bimaterial interfaces—a note on crack-tip field-measurements using coherent gradient sensing,” Exp. Mech. 31, 243–251 (1991). [CrossRef]
  14. J. Kimberley and J. Lambros, “Dynamic crack kinking from a PMMA/homalite interface,” Exp. Mech. 44, 158–166 (2004). [CrossRef]
  15. J. J. Mason, J. Lambros, and A. J. Rosakis, “The use of a coherent gradient sensor in dynamic mixed-mode fracture-mechanics experiments,” J. Mech. Phys. Solids 40, 641–661 (1992). [CrossRef]
  16. S. Ramaswamy, H. V. Tippur, and L. Xu, “Mixed-mode crack-tip deformations studied using a modified flexural specimen and coherent gradient sensing,” Exp. Mech. 33, 218–227 (1993). [CrossRef]
  17. J. K. Sinha, H. V. Tippur, and L. M. Xu, “An interferometric and finite element investigation of interfacial crack tip fields: role of mode-mixity on 3-D stress variations,” Int. J. Solids Struct. 34, 741–754 (1997). [CrossRef]
  18. X. J. Dai, H. Yun, and Q. Pu, “Measuring thickness change of transparent plate by electronic speckle pattern interferometry and digital image correlation,” Opt. Commun. 283, 3481–3486 (2010). [CrossRef]
  19. J. W. Dally and W. F. Riley, Experimental Stress Analysis, 4th ed. (College House, 2005).
  20. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge, 1999).
  21. M. S. Kirugulige, H. V. Tippur, and T. S. Denney, “Measurement of transient deformations using digital image correlation method and high-speed photography: application to dynamic fracture,” Appl. Opt. 46, 5083–5096 (2007). [CrossRef]
  22. M. S. Kirugulige and H. V. Tippur, “Measurement of surface deformations and fracture parameters for a mixed-mode crack driven by stress waves using image correlation technique and high-speed photography,” Strain 45, 108–122(2009). [CrossRef]
  23. H. V. Tippur, S. Krishnaswamy, and A. J. Rosakis, “A coherent gradient sensor for crack tip deformation measurements—analysis and experimental results,” Int. J. Fract. 48, 193–204 (1991). [CrossRef]
  24. R. G. Budynas, Advanced Strength and Applied Stress Analysis (McGraw-Hill, 1998).

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