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The Method of Birefringent Coatings

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Part of the book series: Springer Series in Optical Sciences ((SSOS,volume 11))

Abstract

The method of birefringent coatings allows the evaluation of the strain distribution on the surface of an opaque body, by using the principles of two-dimensional photoelasticity developed in Chapter 7. This method may be considered as an application and extension to opaque materials of two-dimensional photoelasticity, which is applicable to only transparent models. The method of birefringent coatings consists of cementing a piece of transparent material (the birefringent coating) on the surface of the body under investigation and measuring the amount and the principal directions of the temporary birefringence developed in the coating when the main object is subjected to a system of loads.

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References

  1. A. Mesnager: C. R. Acad. Sci. 190, 1249 (1930)

    Google Scholar 

  2. G. U. Oppel: Z.VDI 81, 803(1937)

    Google Scholar 

  3. J. D’Agostino, D. C. Drucker, C. K. Liu, C. Mylonas: Proc. Soc. Exp. Stress Anal. 12, 123 (1955)

    Google Scholar 

  4. J. D’Agostino, D. C. Drucker, C. K. Liu, C. Mylonas: Proc. Soc. Exp. Stress Anal. 12, 115 (1955)

    Google Scholar 

  5. F. Zandman, M. R. Wood: Prod. Eng. (London) 27, 167 (1956)

    Google Scholar 

  6. J. Duffy, T. C. Lee: Exp. Mech. 1, 109 (1961)

    Google Scholar 

  7. K. Kawata: J. Sci. Res. Inst. Tokyo 52, 17 (1958)

    Google Scholar 

  8. F. Zandman: Anal, des Contrs (G.A.M.A.C.) 2, 3 (1956)

    Google Scholar 

  9. R. Fleury, F. Zandman: C. R. Acad. Sci. 238, 1559 (1954)

    Google Scholar 

  10. F. Zandman, S. S. Redner, E. I. Riegner: Exp. Mech. 2, 55 (1962)

    Google Scholar 

  11. D. Post, F. Zandman: Exp. Mech. 1, 21 (1961)

    Google Scholar 

  12. J. Duffy: Exp. Mech. 1, 74 (1961)

    Google Scholar 

  13. T. C. Lee, C. Mylonas, J. Duffy: Exp. Mech. 1, 134 (1961)

    Google Scholar 

  14. J. Duffy, C. Mylonas: Proc. Int. Symp. on Photoelasticity, 1961, ed. by M. M. Frocht (Pergamon Press, London 1963) pp. 27–42

    Google Scholar 

  15. E. E. Day, A. S. Kobayashi, C. N. Larson: Exp. Mech. 2, 115 (1962)

    Google Scholar 

  16. P. S. Theocaris, K. Dafermos: Exp. Mech. 4, 271 (1964)

    Google Scholar 

  17. C. H. Yew, B. R. Blackburn: Exp. Mech. 8, 91 (1968)

    Google Scholar 

  18. P. S. Theocaris, C. Mylonas: J. Appl. Mech. 28, 601 (1961)

    ADS  Google Scholar 

  19. P. S. Theocaris: Rheol. Acta 2, 92 (1962)

    Google Scholar 

  20. P. S. Theocaris: J. Mech. Phys. Sol. 12, 125 (1964)

    ADS  Google Scholar 

  21. P. S. Theocaris: In Proc. IUTAM Symp. on the Photoelastic Effect and Its Applications, ed. by J. Kestens (Springer, Berlin, Heidelberg, New York 1975) pp. 102–114

    Google Scholar 

  22. P. S. Theocaris: Int. J. Mech. Sci. 18, 171 (1976)

    Google Scholar 

  23. F. Zandman, M. Watter, S. S. Redner: Exp. Mech. 2, 215 (1962)

    Google Scholar 

  24. P. S. Theocaris: J. Appl. Mech. 29, 735 (1962)

    ADS  Google Scholar 

  25. P. S. Theocaris, E. Marketos: J. Mech. Phys. Sol. 11, 411 (1963)

    ADS  Google Scholar 

  26. P. S. Theocaris, E. Marketos: J. Mech. Phys. Sol. 12, 377 (1964)

    ADS  Google Scholar 

  27. P. S. Theocaris: J. Franklin Inst. 279, 22 (1965)

    Google Scholar 

  28. F. Zandman: Welding J. 39, 191 (1960)

    Google Scholar 

  29. W. W. Gerberich: Exp. Mech. 4, Part I, II, 335, 345 (1964)

    Google Scholar 

  30. G. U. Oppel, P. W. Hill; Exp. Mech. 4, 206 (1964)

    Google Scholar 

  31. J. W. Dally, I. Alfirevich: Exp. Mech. 9, 97 (1969)

    Google Scholar 

  32. P. Bohler: Photoelasticity Lab. Swiss Fed. Inst. of Techn., Zurich, Switzerland (1967)

    Google Scholar 

  33. J. D. Hovanesian, G. Eggenberger, Y. Y. Hung: Exp. Mech. 12, 196 (1972)

    Google Scholar 

  34. G. U. Oppel: Z. VDI 101, 809 (1959)

    Google Scholar 

  35. F. Zandman, S. Redner, J. W. Dally: Photoelastic Coatings (Soc. Exp. Stress Analysis, Iowa State University Press, Iowa 1977)

    Google Scholar 

  36. R. B. Heywood: Photoelasticity for Designers, Vol. 2 (Pergamon Press, London 1969), Chap. 10, pp. 277–293

    Google Scholar 

  37. J. Javornicky: Photoplasticity, Pt. 4 (Czechoslovak Academy Sci., Prague 1974) Chaps. 15, 16, pp. 262–280

    Google Scholar 

  38. G. S. Holister: Experimental Stress Analysis (Cambridge, at Univ. Press 1967) Chap. 5, pp. 210–238

    Google Scholar 

  39. A. Kuske, G. Robertson: Photoelastic Stress Analysis (Wiley and Sons, New York 1974) Chap. 11, pp. 263–274

    Google Scholar 

  40. P. S. Theocaris: J. Appl. Pol. Sci. 8, 399 (1964)

    Google Scholar 

  41. P. S. Theocaris: Exp. Mech. 5, 105 (1965)

    Google Scholar 

  42. P. S. Theocaris: In Proc. IUTAM Symp. on the Photoelastic Effect and Its Applications, ed. by J. Kestens (Springer, Berlin, Heidelberg, New York 1975) pp. 146–230

    Google Scholar 

  43. P. S. Theocaris, K. Dafermos: J. Appl. Mech. 31, 714 (1964)

    ADS  MATH  Google Scholar 

  44. P. S. Theocaris: Unpublished work

    Google Scholar 

  45. E. Mönch: Schweiz. Bauztg. 84, 840 (1966)

    Google Scholar 

  46. F. Zandman: Exp. Mech. 2, 225 (1962)

    Google Scholar 

Books

  • Dally, J.W., Riley, W.F.: Experimental Stress Analysis (McGraw-Hill, New York 1965) Chap.11, pp.280–295

    Google Scholar 

  • Durelli, A.J., Riley, W.F.: Introduction to Photomechanics (Prentice-Hall, Englewood Cliffs, N.J. 1965) Chap.9, pp.247–253

    Google Scholar 

  • Heywood, R.B.: Photoelasticity for Designers (Pergamon Press, Oxford 1969) Chap.10, pp.277–293

    Google Scholar 

  • Holister, G.S.: Experimental Stress Analysis (Cambridge University Press, Cambridge 1967) Chap.5, pp.210–238

    Google Scholar 

  • Javornieky, J.: Photoelasticity, Pt.4 (Czechoslovak Academy Sci., Prague 1974) Chap.15–16, pp.262–280

    Google Scholar 

  • Kuske, A., Robertson, G.: Photoelastic Stress Analysis (Wiley and Sons, New York 1974) Chap.11, pp.263–274

    Google Scholar 

  • McMaster, R.C.: Nondestructive Testing Handbook, Vol.2 (Ronald Press, New York 1959)

    Google Scholar 

  • Zandman, F., Redner, S., Dally, J.W.: Photoelastic Coatings, Soc. Exp. Stress Anal. (Iowa State University Press, Ames 1977)

    Google Scholar 

Papers

  • Abeles, P.W.: Cracking and bond resistance in high strength reinforced concrete beams, illustrated by photoelastic coating. J. Am. Concr. Inst. 63, 1265–1278 (1966)

    Google Scholar 

  • Adams, C., Beese, J.G.: The application of birefringent coatings to metal surfaces which are to undergo large plastic strains. Exp. Mech. 14, 202–203 (1974)

    Google Scholar 

  • Akhmetzyanov, M.K.: Photoelastic coatings for determination of stresses and deformations in flexible plates and shells. NASA TN F-220 (1964)

    Google Scholar 

  • Aleksandrov, A.Y., Akhmetzyanov, M.K.: Investigation of strains and stresses by the method of photoelastic coatings. Ind. Lab. (U.S.S.R.) 42, 1768–1778 (1976)

    Google Scholar 

  • Amba-Rao, C.L.: Study of birefringent coatings treated as thick plates. J. Franklin Inst. 290, 409–418 (1970)

    MATH  Google Scholar 

  • Andreyev, V.: Discussion of “The application of birefringent coatings to metal surfaces which are to undergo large plastic strains”. Exp. Mech. 15, 394–395 (1975)

    Google Scholar 

  • Austin, A.L.: Measurements of thermally induced stress waves in a thin rod using birefringent coatings. Exp. Mech. 5, 1–10 (1965)

    Google Scholar 

  • Barron, K.: Glass insert stressmeters. AIME, Trans. Soc. Min. 232, 287–299 (1965)

    Google Scholar 

  • Bettany, C.P., Fessler, H.: Birefringence behaviour of an epoxy resin in compression. Br. J. Appl. Phys. 14, 692–695 (1963)

    ADS  Google Scholar 

  • Blackburn, B.R.: “An Investigation into the Reinforcing Effects of Birefringent Coating on Plane Structures”, M. SC. Thesis, Dept. of Eng. Mech., Univ. of Texas, Austin, Texas (1967)

    Google Scholar 

  • Blum, A.E.: The use and understanding of photoelastic coatings. Strain 13, 96–101 (1977)

    Google Scholar 

  • Bogdy, P.T., Bonchenko, G.A.: Examination of the development of local elastic plastic strains in butt welded joints by means of the method of photoelastic coatings. Weld. Prod. U.S.S.R. 23, 18–21 (1976)

    Google Scholar 

  • Bohler, P., Schumann, W.: On a multiplication technique applied to very thin photoelastic coatings. Exp. Mech. 11, 289–295 (1971)

    Google Scholar 

  • Bonvalet, M.: Application de la microphotoélasticimétrie à l’étude de la déformation plastique. CR. Acad. Sci. 140 (2), 157–158 (1955)

    Google Scholar 

  • Bynum, D.J., Lemcoe, M.M.: Birefringent-coating analysis of laterally loaded perforated plates. Exp. Mech. 3, 140–147 (1963)

    Google Scholar 

  • Calcote, L.R., Bowman, C.E.: Experimental determination of the elastic-plastic boundary. Exp. Mech. 5, 262–266 (1965)

    Google Scholar 

  • Chen, W.T., Duffy, J.: Effects of the thickness of birefringent coatings for two-dimensional variations in surface strain. U.S. Army Reseach Office (Durham), DA Proj. No. 59901004, Technical Rpt. No. 2 (Feb. 1962)

    Google Scholar 

  • Clyne, G., Fessler, H., Wilson, R.W.: Improvements of photoelastic technique for strain measurement on flat surfaces. Brit. J. Appl. Phys. 12, 8–10 (1961)

    ADS  Google Scholar 

  • Cole, C.A., Quinlan, J.F., Zandman, F.: “The Use of High-Speed Photography and Photoelastic Coatings for the Determination of Dynamic Strains”, Proc. 5th Int. Congr. High-Speed PhotograDhy, Washington D.C, 1961, ed. by J.S. Courtney-Pratt (SMPTE, New York 1962) Dp. 250–261

    Google Scholar 

  • D’Agostino, J., Drucker, D.C, Liu, C.K., Mylonas, C.: An analysis of plastic behavior of metals with bonded birefringent plastic. Proc. Soc. Exp. Stress Anal. 12, 115–122 (1955)

    Google Scholar 

  • D’Agostino, J., Drucker, D.C, Liu, C.K., Mylonas, C.: An analysis of plastic behavior of metals with bonded birefringent plastic. Proc. Soc. Exp. Stress Anal. 12, 115–122 (1955)

    Google Scholar 

  • D’Agostino, J., Drucker, D.C., Liu, C.K., Mylonas, C.: Epoxy adhesives and casting resins as photoelastic plastics. Proc. Soc. Exp. Stress Anal. 12, 123–128 (1955)

    Google Scholar 

  • Dally, J.W., Alfirevich, I.: Application of birefringent coatings to glass-fiber-reinforced plastics. Exp. Mech. 9, 97–102 (1969)

    Google Scholar 

  • Dantu, P.: Etude des contraintes dans les milieux heterogenes. Application au beton. Lab. Central des Ponts et Chaussées, Paris, Publ. No. 57–6 (1957)

    Google Scholar 

  • Day, E.E., Kobayashi, A.S., Larson, C.N.: Fringe multiplication and thickness effects in birefringent coating. Exp. Mech. 2, 115–121 (1962)

    Google Scholar 

  • Dixon, J.R.: Elastic-plastic strain distribution in flat bars containing holes or notches. J. Mech. Phys. Solids 10, 253–263 (1962)

    ADS  Google Scholar 

  • Dixon, J.R.: Photoelastic surface coating technique. NEL Rpt. 277 (1967)

    Google Scholar 

  • Duffy, J.: Effects of the thickness of birefringent coatings. Exp. Mech. 1, 74–82 (1961)

    Google Scholar 

  • Duffy, J., Lee, T.C.: Measurement of surface strain by means of bonded birefringent strips. Exp. Mech. 1, 109–112 (1961)

    Google Scholar 

  • Duffy, J., Mylonas, C.: “An Experimental Study on the Effects of the Thickness of Birefringent Coatings”, Proc. Int. Symp. on Photoelasticity, Illinois Institute of Technology, Chicago, 1961, ed. by M.M. Frocht (Pergamon Press, London 1963) pp.27–42

    Google Scholar 

  • Duffy, J., Mylonas, C.: Preliminary tests on aluminum specimens with birefringent coating permanently deformed by impact. Tech. Rpt. No. 22, Contract DA-020-0RD-798, Div. of Appl. Math., Brown Univ. (1955)

    Google Scholar 

  • Fessler, H., Haines, D.J.: The photoelastic technique for strain measurements on flat aluminium alloy surfaces. Br. J. Appl. Phys. 9, 278–279, 282–287 (1958)

    ADS  Google Scholar 

  • Fessier, H., Haines, D.J.: Plasto-elastic stress distributions in lugs. Aeronaut. Q. 10, 230–246 (1959)

    Google Scholar 

  • Fessier, H., Newton, E.A.A., Wilson, R.W.: On the effect of layer thickness in photoelastic reflection techniques. Br. J. Appl. Phys. 14, 889–893 (1963)

    ADS  Google Scholar 

  • Fessier, H., Wilson, R.W.: Plastic-elastic strains observed near loaded fillets in stepped bars. J. Mech. Eng. Sci. 6, 9–12 (1964)

    Google Scholar 

  • Fleury, R., Zandman, F.: Jauge d’efforts photoélastique. C.R. Acad. Sci. 238, 1559–1561 (1954)

    Google Scholar 

  • Franz, G.: Unmittelbare Spannungsmessung in Beton und Baugrund. Bauingenieur 33, 190–195 (1958)

    Google Scholar 

  • Furue, H., Shimamura, S.: A study on the photoelastic coating method (I) -on the ringlight polariscope. J. Mech. Eng. Lab. 30, 299–305 (1976)

    Google Scholar 

  • Galster, D.: Spannungsoptische Bestimmung von Dehnungen mit profilierten Oberflächenschichten. Beitr. zur Spannungs- und Dehnungsanalyse 4, 47–88 (1967)

    Google Scholar 

  • Gerberich, W.W.: Stress distribution about a slowly growing crack determined by photoelastic-coating method. Exp. Mech. 2, 359–365 (1962)

    Google Scholar 

  • Gerberich, W.W.: Plastic strains and energy density in cracked plates, Pt. I. Experimental technique and results. Exp. Mech. 4, 335–344 (1964)

    Google Scholar 

  • Gibbs, H.G., Hooke, C.J., Stagg, J.J.: An application of photoelastic gauges to the measurement of residual stress. VDI-Ber. Ver. Dtsch. Ing. 102, 113–117 (1966)

    Google Scholar 

  • Golubovic, G.: Different applications of photoelastic layers in the structural field. RAE Trans. No. 838 (1959) pp. 10

    Google Scholar 

  • Hawkes, I.: Stress evaluation in low-modulus and viscoelastic materials using photoelastic glass inclusions. Exp. Mech. 9, 58–66 (1969)

    Google Scholar 

  • Hawkes, I.: Theory of the determination of the greatest principal stress in a biaxial stress field using photoelastic hollow cylinder inclusions. Int. J. Rock Mech. Min. Sci. 6, 143–158 (1969)

    Google Scholar 

  • Hawkes, I., Foley, J.H.: Elastic-plastic strain distributions in short-link chain under load. J. Strain Anal. 3, 11–16 (1968)

    Google Scholar 

  • Hizamatsu, J., Niwa, J., Oka, J.: Measurement of stress in field by application of photoelasticity. Techn. Rpts., Eng. Res. Inst., Kyoto Univ. 37 (1957)

    Google Scholar 

  • Hoek, E.: “Experimental Study of Rock-Stress Problems in Deep Level Mining”, Proc. 1st Int. Congr. Exp. Mech., New York 1963, ed. by B.E. Rossi (Pergamon Press, New York 1963) pp.177–194

    Google Scholar 

  • Hoek, E., Bieniawski, Z.T.: Application of the photoelastic coating technique to the study of the stress redistribution associated with plastic flow around notches. South Afr. Mech. Eng. 12, 275–282 (1963)

    Google Scholar 

  • Holister, G.S.: Recent developments in photoelastic coating techniques. J. R. Aeronaut. Soc. 65, 661–669 (1961)

    Google Scholar 

  • Holister, G.S.: Photoelastic strain gauges. Appl. Mater. Res. 2, 20–30 (1963)

    Google Scholar 

  • Hooke, C.J., Stagg, J.J.: An approximate solution for the effect of “Shear Lag” in the measurements of residual stresses using a photoelastic gauge. Int. J. Solids Struc. 4, 139–157 (1968)

    Google Scholar 

  • Hovanesian, J.D.: Sign determination in oblique incidence for photoelastic coatings. Exp. Mech. 5, 128 (1965)

    Google Scholar 

  • Hovanesian, J.D.: New method for the determination of oblique-incidence coefficients for birefringent coatings and models. Exp. Mech. 6, 500–501 (1966)

    Google Scholar 

  • Hovanesian, J.D., Eggenberger, G., Hung, Y.Y.: Full-field isopachic generation in photoelastic coatings. Exp. Mech. 12, 196–200 (1972)

    Google Scholar 

  • Kaplan, M.F.: Strains and stresses of concrete at initiation of cracking and near failure. J. Am. Concr. Inst. 60, 853–879 (1963)

    Google Scholar 

  • Kawata, K.: Analysis of elasto-plastic behaviour of metals by means of photoelastic coating method. J. Sci. Res. Inst., Tokyo 52, 17–40 (1958)

    Google Scholar 

  • Kawata, K.: “Studies on Photoplastic Analysis of Elasto-Plastic Behaviour of Metals with Birefringent Coating”, Proc. 7th Japan Nat. Congr. Appl. Mech., Tokyo (1958) pp.148–152

    Google Scholar 

  • Kawata, K.: “Elastoplastic Stress Analysis and Determination of Flow Limit by Means of Photoelastic Coating Method”, Proc. Int. Symp. on Photoelasticity, Illinois Institute of Technology, Chicago, 1961, ed. by M.M. Frocht (Pergamon Press, London 1963) pp.219–230

    Google Scholar 

  • Kedward, K.T., Hindle, G.R.: Analysis of strain in fibre-reinforced materials. J. Strain Anal. 5, 309–315 (1970)

    Google Scholar 

  • Keeton, J.R.: Strain distribution in compressively loaded concrete specimens. Proc. Am. Soc. Test. Mater. 61, 1197–1220 (1961)

    Google Scholar 

  • Khesin, G.L., Sakharov, V.N.: “Methods of Strain Measurement on the Surface of Concrete and Reinforced Concrete Constructions by Means of Photoelastic Coatings”, Proc. 4th Int. Conf. Exp. Stress Analysis, Cambridge, 1970, ed. by M.L. Meyer (The Institution of Mechanical Engineers, London 1971) pp.47–57

    Google Scholar 

  • Kumazawa, T.: Photoelastic technique to investigate the effect of temperature and strain rate on plastic flow in mild steel. Exp. Mech. 17, 271–275 (1977)

    Google Scholar 

  • Lambert, T.H., Snell, C.: Effect of yield on the interference between a pin and a plate. J. Mech. Eng. Sci. 6, 38–43 (1964)

    Google Scholar 

  • Lee, T.C., Mylonas, C., Duffy, J.: Thickness effects in birefringent coatings with radial symmetry. Exp. Mech. 1, 134–142 (1961)

    Google Scholar 

  • Linge, J.R.: Photoelastic measurement of surface strain. Aircraft Eng. 32 (378), 216–221; (1960)

    Google Scholar 

  • Linge, J.R.: Photoelastic measurement of surface strain. Aircraft Eng. 32 (379), 261–270; (1960)

    Google Scholar 

  • Linge, J.R.: Photoelastic measurement of surface strain. Aircraft Eng. 32 (380), 295–298 (1960)

    Google Scholar 

  • Mabboux, G.: Applications de la photoélasticimétrie a l’etude des ouvrages en beton. Rev. Opt. Théor. Instrum. 11, 501–507 (1932)

    Google Scholar 

  • McIver, R.W.: Structural-test applications utilizing large continuous photoelastic coatings. Exp. Mech. 5, A19–25, A19–26 (1965)

    Google Scholar 

  • Merskon, J.L.: Preliminary evaluation of PVRC photoelastic test data on reinforced openings vessels. Weld. Res. Counc. Bull. Eng. Foundation 113, 53–70 (1966)

    Google Scholar 

  • Mesnager, A.: Sur la determination optique des tensions intérieures dans les solides à trois dimensions. C. R. Acad. Sci. 190, 1249–1250 (1930)

    Google Scholar 

  • Mönch, E.: Die vollständige Bestimmung des Dehnungszustandes auf Oberflächen durch photoelastische Streifenschichten. Schweiz. Bauz. 84, 840–842 (1966)

    Google Scholar 

  • Navaratnarajah, V.: A photoelastic method of detecting microcracking in concrete. J. Sci. Instrum. 42, 276–277 (1965)

    ADS  Google Scholar 

  • Nickola, W.E.: Photoelastic coatings on flat rotating axisymmetrical parts. Exp. Mech. 4, 99–109 (1964)

    Google Scholar 

  • Nisida, M., Takabayashi, H.: Thickness effects in “Hole Method” and applications of the method to residual stress measurement. Sci. Pap. Inst. Phys. Chem. Res. Jpn. 59, 78–86 (1965)

    Google Scholar 

  • Oppel, G.U.: Das polarisationsoptische Schichtverfahren zur Messung der Oberflächenspannung am beanspruchten Bauteil ohne Modell. Z. VDI 81, 803–804 (1937)

    Google Scholar 

  • Oppel, G.U.: Unmittelbar anzeigende polarisationsoptische Messelemente für die Dehnungs- und Spannungsanalyse an Bauteilen. Z. VDI 101, 809–816 (1959)

    Google Scholar 

  • Oppel, G.U.: Photoelastic strain gages. Exp. Mech. 0, 65–73 (1961)

    Google Scholar 

  • Oppel, G.U., Hill, P.W.: Strain measurements at the root of cracks and notches. Exp. Mech. 4, 206–211 (1964)

    Google Scholar 

  • O’Regan, R.: New method for determining strain on the surface of a body with photoelastic coatings. Exp. Mech. 5, 241–246 (1965)

    Google Scholar 

  • Palmer, R.S.J., Jarvis, J.L.: Bonding of birefringent coatings to composite flat-belt-drive materials. Exp. Mech. 17, 198–200 (1977)

    Google Scholar 

  • Papirno, R., Becker, H.: A multilayer-reflection technique for three-dimensional photoelastic studies of perforated plates in bending. Exp. Mech. 7, 361–371 (1967)

    Google Scholar 

  • Peng, S.S.: A photoelastic coating technique for rock fracture analysis. Int. J. Rock Mech. Min. Sci. 13, 173–176 (1976)

    Google Scholar 

  • Pin, H., Knight, C.E.: Photoelastic analysis of anisotropic fiber reinforced composites. J. Comp. Mater. 3, 94–107 (1969)

    Google Scholar 

  • Pipes, R.B., Dalley, J.W.: On the birefringent-coating method of stress analysis for fiber-reinforced laminated composites. Exp. Mech. 12, 272–277 (1972)

    Google Scholar 

  • Post, D., Zandman, F.: Accuracy of birefringent-coating method for coatings of arbitrary thickness. Exp. Mech. 1, 21–32 (1961)

    Google Scholar 

  • Redner, S.S.: New oblique-incidence method for direct photoelastic measurement of principal strains. Exp. Mech. 3, 67–72 (1963)

    Google Scholar 

  • Reitblat, Z.V., Baikov, V.V.: The photoelastic coating method and its application in investigations of steel-reinforced concrete structures. Sb. Tr. Nauchno-Issled. Inst. Poligr. Machinost. (1964)

    Google Scholar 

  • Roberts, A., Emery, C.L., Chakravarty, P.K.: Photoelastic coating technique applied to research in rock mechanics. Trans. Am. Inst. Mining Metall. Pet. Eng. 71, 581–617 (1961–1962)

    Google Scholar 

  • Roberts, A., Hawkes, I., Williams, F.T.: Some field applications of the photoelastic stressmeter. Int. J. Rock Mech. Min. Sci. 2, 93–103 (1965)

    Google Scholar 

  • Roberts, A., Hawkes, I., Williams, F.T., Dhir, S.K.: A laboratory study of the photoelastic stressmeter. Int. J. Rock Mech. Min. Sci. 1, 441–457 (1964)

    Google Scholar 

  • Rowlands, R.E., Daniel, I.M., Whiteside, J.B.: Stress and failure analysis of a glass-epoxy composite plate with a circular hole. Exp. Mech. 13, 31–37 (1973)

    Google Scholar 

  • Schumann, W., Mylonas, C., Bucci, R.: The separation of membrane and bending shears in shell with two birefringent coatings. J. Appl. Mech. 38, 217–226 (1971)

    ADS  Google Scholar 

  • Schwaighofer, J.: Applications of photoeiastic strain gages. Exp. Mech. 1, 198–202 (1961)

    Google Scholar 

  • Schwaighofer, J.: Extended frozen stress method. Proc. Am. Soc. Civ. Eng. 88, (EM6), 1–12 (1962)

    Google Scholar 

  • Sirohi, R.S., Krishnamurthy, R.: Stress analysis with hologram interferometry using birefringent coating on object. Optik 40, 315–321 (1974)

    Google Scholar 

  • Stephen, R.M., Pirtz, D.: Application of birefringent coating to the study of strains around circular inclusions in mortar prisms. Exp. Mech. 3, 91–97 (1963)

    Google Scholar 

  • Swamy, R.N.: “Application of Photoeiastic Coating Techniques to the Determination of Internal Strain Distribution in Cementitious Materials”, Proc. 4th Int. Conf. Exp. Stress Analysis, Cambridge, 1970, ed. by M.L. Meyer (The Institution of Mechanical Engineers, London 1971) pp.58–67

    Google Scholar 

  • Swedlow, J.L., Gerberich, W.W.: Plastic strains and energy density in cracked plates, Pt. II. Comparison with elastic theory. Exp. Mech. 4, 345–351 (1964)

    Google Scholar 

  • Theocaris, P.S.: Experimental solution of elastic-plastic plane-stress problems. J. Appl. Mech. 29, 735–743 (1962);

    ADS  Google Scholar 

  • Theocaris, P.S.: Experimental solution of elastic-plastic plane-stress problems. J. Appl. Mech. 30, 631–634 (1963)

    Google Scholar 

  • Theocaris, P.S.: Combined photoeiastic and electrical-analog method for solution of plane-stress plasticity problems. Exp. Mech. 3, 207–214 (1963)

    Google Scholar 

  • Theocaris, P.S.: Discussion of “Extended frozen stress method”. Proc. Am. Soc. Civ. Eng. 89, (EM4), 73–77 (1963)

    Google Scholar 

  • Theocaris, P.S.: The effect of plasticity on the stress-distribution of thin notched plates in tension. J. Franklin Inst. 279, 22–38 (1965)

    Google Scholar 

  • Theocaris, P.S.: Discussion of “Methods of Strain Measurement on the Surface of Concrete and Reinforced Concrete Constructions by Means of Photoeiastic Coatings”, Proc. 4th Int. Conf. Exp. Stress Analysis, Cambridge, 1970, ed. by M.L. Meyer (The Institution of Mechanical Engineers, London 1971) pp.71–73

    Google Scholar 

  • Theocaris, P.S.: Discussion of “Application of Photoeiastic Coating Techniques to the Determination of Internal Strain Distribution in Cementitious Materials”, Proc. 4th Int. Conf. Exp. Stress Analysis, Cambridge, 1970, ed. by M.L. Meyer (The Institution of Mechanical Engineers, London 1971) pp.73–75

    Google Scholar 

  • Theocaris, P.S., Dafermos, K.: The elastic strip under mixed boundary conditions. J. Appl. Mech. 31, 714–716 (1964)

    ADS  MATH  Google Scholar 

  • Theocaris, P.S., Dafermos, K.: A critical review of the thickness effect of birefringent coatings. Exp. Mech. 4, 271–276 (1964)

    Google Scholar 

  • Theocaris, P.S., Marketos, E.: The elastic-plastic strain and stress distribution in notched plates under of plane-stress. J. Mech. Phys. Solids 11, 411–428 (1963)

    ADS  Google Scholar 

  • Theocaris, P.S., Marketos, E.: Elastic-plastic analysis of perforated thin strips of a strain-hardening material. J. Mech. Phys. Solids 12, 377–390 (1964)

    ADS  Google Scholar 

  • Theocaris, P.S., Mylonas, C.: Viscoelastic effects in birefringent coatings. J. Appl. Mech. 28, 601–607 (1961);

    ADS  Google Scholar 

  • Theocaris, P.S., Mylonas, C.: Viscoelastic effects in birefringent coatings. J. Appl. Mech. 29, 599–603 (1962)

    ADS  Google Scholar 

  • Timby, E.K., Hedrick, I.G.: Photoeiastic analysis broadened. Eng. News-Rec. 121, 179–181 (1938)

    Google Scholar 

  • Underwood, J.H.: Residual-stress measurement using surface displacements around an indentation. Exp. Mech. 13, 373–380 (1973)

    Google Scholar 

  • Visser, W.: Theoretical analysis of the error due to layer thickness in the photoeiastic coating technique when measuring strain gradients. NEL Rpt. PM 309, AB Div.2/61 (1961)

    Google Scholar 

  • Watkins, D.J.: Feasibility study of the photoelastic coating technique for the direct measurement of principal strains for application in the deep-drawing of sheet metal. MEEP Rpt. UWIST Cardiff, England (1970)

    Google Scholar 

  • Wilson, I.H., White, D.J.: Cruciform specimens for biaxial fatigue tests: An investigation using finite-element analysis and photoelastic-coating techniques. J. Strain Anal. 6, 27–37 (1971)

    Google Scholar 

  • Yew, C.H., Blackburn, B.R.: On Reinforcing effect of birefringent coatings on plate structures. Exp. Mech. 8, 91–93 (1968)

    Google Scholar 

  • Zandman, F.: Mésures photoélastiques des deformations élastiques et plastiques et des fragmentations cristallines dans les métaux. Rev. Métall. 53, 638–644 (1956)

    Google Scholar 

  • Zandman, F.: Analyse des contraintes par vernis photoélastiques. Groupement pour l’Avancement des Méthodes d’Analyse des Contraintes 2 (6), 3–14 (1956)

    Google Scholar 

  • Zandman, F.: Photoelastic-coating technique for determining stress distribution in welded structures. Weld. Journal 39, 191–198 (1960)

    Google Scholar 

  • Zandman, F.: Stress analysis of a guided missile tail section with the photoelastic coating technique. Proc. Soc. Exp. Stress Anal. 17, 135–150 (1960)

    Google Scholar 

  • Zandman, F.: Maximum shear strain measurements and determination of initial yielding by use of photoelastic coating technique. ASTM STP 289 (1960)

    Google Scholar 

  • Zandman, F.: Stress analysis with a photoelastic coating. Metal Prog. 78, 111–117 (1960)

    Google Scholar 

  • Zandman, F.: Discussion of “Thickness effects in birefringent coatings with radial symmetry”. Exp. Mech. 1, 141–142 (1961)

    Google Scholar 

  • Zandman, F.: Concepts of the photoelastic stress gage. Exp. Mech. 2, 225–233 (1962)

    Google Scholar 

  • Zandman, F., Maier, H.N.: Six new techniques for photoelastic coatings. Prod. Eng. London 42 (1961)

    Google Scholar 

  • Zandman, F., Redner, S.S., Riegner, E.I.: Reinforcing effect to birefringent coatings. Exp. Mech. 2, 55–64 (1962)

    Google Scholar 

  • Zandman, F., Redner, S.S., Post, D.: Photoelastic-coating analysis in thermal fields. Exp. Mech. 3, 215–221 (1963)

    Google Scholar 

  • Zandman, F., Watter, M., Redner, S.S.: Stress analysis of rocket-motor case by birefringent-coating method. Exp. Mech. 2, 215–221 (1962)

    Google Scholar 

  • Zandman, F., Wood, M.R.: Photostress. A new technique for photoelastic stress analysis for observing and measuring surface strains on actual structures and parts. Prod. Eng. London 27, 167–178 (1956)

    Google Scholar 

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Theocaris, P.S., Gdoutos, E.E. (1979). The Method of Birefringent Coatings. In: Matrix Theory of Photoelasticity. Springer Series in Optical Sciences, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-35789-6_12

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  • DOI: https://doi.org/10.1007/978-3-540-35789-6_12

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