Abstract

A method of direct determination of photoelastic fringe order is proposed. The relations between the integral fringe order for one wavelength and the fractional fringe orders of two wavelengths are derived. The exact fringe order of the whole field is automatically calculated. The usefulness of this method is demonstrated through experimental result.

© 1999 Optical Society of America

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References

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  1. A. S. Voloshin, A. S. Render, “Automated measurement of birefringence: development and experimental evaluation of the technique,” Exper. Mech. 29, 252–257 (1989).
    [CrossRef]
  2. A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity—a new approach to whole field stress analysis,” Exper. Mech. 23, 304–314 (1983).
    [CrossRef]
  3. A. S. Redner, “Photoelastic measurements by means of computer-assisted spectral-content analysis,” Exper. Mech. 25, 148–153 (1985).
    [CrossRef]
  4. A. Sarma, S. A. Pillai, G. Subramanian, T. K. Varadan, “Computerized image processing for whole-field determination of isoclinics and isochromatics,” Exper. Mech. 32, 24–29 (1992).
    [CrossRef]
  5. A. Ajovalasit, S. Barone, G. Petrucci, “A review of automated methods for the collection and analysis of photoelastic data,” J. Strain Anal. 33, 75–91 (1998).
    [CrossRef]
  6. K. Ramesh, S. K. Mangal, “Data acquisition techniques in digital photoelasticity: a review,” Opt. Lasers Eng. 30, 53–75 (1998).
    [CrossRef]
  7. E. A. Patterson, Z. F. Wang, “Towards full field automated photoelastic analysis of complex components,” Strain 27, 49–56 (1991).
    [CrossRef]
  8. A. Ajovalasit, S. Barone, G. Petrucci, “Towards RGB photoelasticity: full-field automated photoelasticity in white light,” Exper. Mech. 35, 193–200 (1995).
    [CrossRef]
  9. A. S. Redner, “A new automatic polariscope system,” Exper. Mech. 14, 486–491 (1974).
    [CrossRef]
  10. L. S. Srinath, A. Sarma, “Determination of integral fringe order in photoelasticity,” Exper. Mech. 13, 138–141 (1973).
    [CrossRef]
  11. T. Y. Chen, “Digital determination of photoelastic birefringence using two wavelengths,” Exper. Mech. 37, 232–236 (1997).
    [CrossRef]
  12. C. H. Hu is preparing the following paper for publication: “Phase shifting method for whole-field isochromatics.”
  13. S. K. Lin, Z. H. Li, “Recognition of photoelastic isochromatic fringe order,” J. Exper. Mech. 5, 96–103 (1990) (in Chinese).

1998 (2)

A. Ajovalasit, S. Barone, G. Petrucci, “A review of automated methods for the collection and analysis of photoelastic data,” J. Strain Anal. 33, 75–91 (1998).
[CrossRef]

K. Ramesh, S. K. Mangal, “Data acquisition techniques in digital photoelasticity: a review,” Opt. Lasers Eng. 30, 53–75 (1998).
[CrossRef]

1997 (1)

T. Y. Chen, “Digital determination of photoelastic birefringence using two wavelengths,” Exper. Mech. 37, 232–236 (1997).
[CrossRef]

1995 (1)

A. Ajovalasit, S. Barone, G. Petrucci, “Towards RGB photoelasticity: full-field automated photoelasticity in white light,” Exper. Mech. 35, 193–200 (1995).
[CrossRef]

1992 (1)

A. Sarma, S. A. Pillai, G. Subramanian, T. K. Varadan, “Computerized image processing for whole-field determination of isoclinics and isochromatics,” Exper. Mech. 32, 24–29 (1992).
[CrossRef]

1991 (1)

E. A. Patterson, Z. F. Wang, “Towards full field automated photoelastic analysis of complex components,” Strain 27, 49–56 (1991).
[CrossRef]

1990 (1)

S. K. Lin, Z. H. Li, “Recognition of photoelastic isochromatic fringe order,” J. Exper. Mech. 5, 96–103 (1990) (in Chinese).

1989 (1)

A. S. Voloshin, A. S. Render, “Automated measurement of birefringence: development and experimental evaluation of the technique,” Exper. Mech. 29, 252–257 (1989).
[CrossRef]

1985 (1)

A. S. Redner, “Photoelastic measurements by means of computer-assisted spectral-content analysis,” Exper. Mech. 25, 148–153 (1985).
[CrossRef]

1983 (1)

A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity—a new approach to whole field stress analysis,” Exper. Mech. 23, 304–314 (1983).
[CrossRef]

1974 (1)

A. S. Redner, “A new automatic polariscope system,” Exper. Mech. 14, 486–491 (1974).
[CrossRef]

1973 (1)

L. S. Srinath, A. Sarma, “Determination of integral fringe order in photoelasticity,” Exper. Mech. 13, 138–141 (1973).
[CrossRef]

Ajovalasit, A.

A. Ajovalasit, S. Barone, G. Petrucci, “A review of automated methods for the collection and analysis of photoelastic data,” J. Strain Anal. 33, 75–91 (1998).
[CrossRef]

A. Ajovalasit, S. Barone, G. Petrucci, “Towards RGB photoelasticity: full-field automated photoelasticity in white light,” Exper. Mech. 35, 193–200 (1995).
[CrossRef]

Barone, S.

A. Ajovalasit, S. Barone, G. Petrucci, “A review of automated methods for the collection and analysis of photoelastic data,” J. Strain Anal. 33, 75–91 (1998).
[CrossRef]

A. Ajovalasit, S. Barone, G. Petrucci, “Towards RGB photoelasticity: full-field automated photoelasticity in white light,” Exper. Mech. 35, 193–200 (1995).
[CrossRef]

Burger, C. P.

A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity—a new approach to whole field stress analysis,” Exper. Mech. 23, 304–314 (1983).
[CrossRef]

Chen, T. Y.

T. Y. Chen, “Digital determination of photoelastic birefringence using two wavelengths,” Exper. Mech. 37, 232–236 (1997).
[CrossRef]

Hu, C. H.

C. H. Hu is preparing the following paper for publication: “Phase shifting method for whole-field isochromatics.”

Li, Z. H.

S. K. Lin, Z. H. Li, “Recognition of photoelastic isochromatic fringe order,” J. Exper. Mech. 5, 96–103 (1990) (in Chinese).

Lin, S. K.

S. K. Lin, Z. H. Li, “Recognition of photoelastic isochromatic fringe order,” J. Exper. Mech. 5, 96–103 (1990) (in Chinese).

Mangal, S. K.

K. Ramesh, S. K. Mangal, “Data acquisition techniques in digital photoelasticity: a review,” Opt. Lasers Eng. 30, 53–75 (1998).
[CrossRef]

Patterson, E. A.

E. A. Patterson, Z. F. Wang, “Towards full field automated photoelastic analysis of complex components,” Strain 27, 49–56 (1991).
[CrossRef]

Petrucci, G.

A. Ajovalasit, S. Barone, G. Petrucci, “A review of automated methods for the collection and analysis of photoelastic data,” J. Strain Anal. 33, 75–91 (1998).
[CrossRef]

A. Ajovalasit, S. Barone, G. Petrucci, “Towards RGB photoelasticity: full-field automated photoelasticity in white light,” Exper. Mech. 35, 193–200 (1995).
[CrossRef]

Pillai, S. A.

A. Sarma, S. A. Pillai, G. Subramanian, T. K. Varadan, “Computerized image processing for whole-field determination of isoclinics and isochromatics,” Exper. Mech. 32, 24–29 (1992).
[CrossRef]

Ramesh, K.

K. Ramesh, S. K. Mangal, “Data acquisition techniques in digital photoelasticity: a review,” Opt. Lasers Eng. 30, 53–75 (1998).
[CrossRef]

Redner, A. S.

A. S. Redner, “Photoelastic measurements by means of computer-assisted spectral-content analysis,” Exper. Mech. 25, 148–153 (1985).
[CrossRef]

A. S. Redner, “A new automatic polariscope system,” Exper. Mech. 14, 486–491 (1974).
[CrossRef]

Render, A. S.

A. S. Voloshin, A. S. Render, “Automated measurement of birefringence: development and experimental evaluation of the technique,” Exper. Mech. 29, 252–257 (1989).
[CrossRef]

Sarma, A.

A. Sarma, S. A. Pillai, G. Subramanian, T. K. Varadan, “Computerized image processing for whole-field determination of isoclinics and isochromatics,” Exper. Mech. 32, 24–29 (1992).
[CrossRef]

L. S. Srinath, A. Sarma, “Determination of integral fringe order in photoelasticity,” Exper. Mech. 13, 138–141 (1973).
[CrossRef]

Srinath, L. S.

L. S. Srinath, A. Sarma, “Determination of integral fringe order in photoelasticity,” Exper. Mech. 13, 138–141 (1973).
[CrossRef]

Subramanian, G.

A. Sarma, S. A. Pillai, G. Subramanian, T. K. Varadan, “Computerized image processing for whole-field determination of isoclinics and isochromatics,” Exper. Mech. 32, 24–29 (1992).
[CrossRef]

Varadan, T. K.

A. Sarma, S. A. Pillai, G. Subramanian, T. K. Varadan, “Computerized image processing for whole-field determination of isoclinics and isochromatics,” Exper. Mech. 32, 24–29 (1992).
[CrossRef]

Voloshin, A. S.

A. S. Voloshin, A. S. Render, “Automated measurement of birefringence: development and experimental evaluation of the technique,” Exper. Mech. 29, 252–257 (1989).
[CrossRef]

A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity—a new approach to whole field stress analysis,” Exper. Mech. 23, 304–314 (1983).
[CrossRef]

Wang, Z. F.

E. A. Patterson, Z. F. Wang, “Towards full field automated photoelastic analysis of complex components,” Strain 27, 49–56 (1991).
[CrossRef]

Exper. Mech. (8)

A. S. Voloshin, A. S. Render, “Automated measurement of birefringence: development and experimental evaluation of the technique,” Exper. Mech. 29, 252–257 (1989).
[CrossRef]

A. S. Voloshin, C. P. Burger, “Half-fringe photoelasticity—a new approach to whole field stress analysis,” Exper. Mech. 23, 304–314 (1983).
[CrossRef]

A. S. Redner, “Photoelastic measurements by means of computer-assisted spectral-content analysis,” Exper. Mech. 25, 148–153 (1985).
[CrossRef]

A. Sarma, S. A. Pillai, G. Subramanian, T. K. Varadan, “Computerized image processing for whole-field determination of isoclinics and isochromatics,” Exper. Mech. 32, 24–29 (1992).
[CrossRef]

A. Ajovalasit, S. Barone, G. Petrucci, “Towards RGB photoelasticity: full-field automated photoelasticity in white light,” Exper. Mech. 35, 193–200 (1995).
[CrossRef]

A. S. Redner, “A new automatic polariscope system,” Exper. Mech. 14, 486–491 (1974).
[CrossRef]

L. S. Srinath, A. Sarma, “Determination of integral fringe order in photoelasticity,” Exper. Mech. 13, 138–141 (1973).
[CrossRef]

T. Y. Chen, “Digital determination of photoelastic birefringence using two wavelengths,” Exper. Mech. 37, 232–236 (1997).
[CrossRef]

J. Exper. Mech. (1)

S. K. Lin, Z. H. Li, “Recognition of photoelastic isochromatic fringe order,” J. Exper. Mech. 5, 96–103 (1990) (in Chinese).

J. Strain Anal. (1)

A. Ajovalasit, S. Barone, G. Petrucci, “A review of automated methods for the collection and analysis of photoelastic data,” J. Strain Anal. 33, 75–91 (1998).
[CrossRef]

Opt. Lasers Eng. (1)

K. Ramesh, S. K. Mangal, “Data acquisition techniques in digital photoelasticity: a review,” Opt. Lasers Eng. 30, 53–75 (1998).
[CrossRef]

Strain (1)

E. A. Patterson, Z. F. Wang, “Towards full field automated photoelastic analysis of complex components,” Strain 27, 49–56 (1991).
[CrossRef]

Other (1)

C. H. Hu is preparing the following paper for publication: “Phase shifting method for whole-field isochromatics.”

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Figures (4)

Fig. 1
Fig. 1

Schematic of the experimental setup.

Fig. 2
Fig. 2

Fringe patterns of model (a) with λ1 = 632.8 nm and with (b) λ2 = 589.3 nm.

Fig. 3
Fig. 3

Phase maps of model (a) with λ1 = 632.8 nm and with (b) λ2 = 589.3 nm.

Fig. 4
Fig. 4

Fringe-order distribution of the circular disk along the horizontal diameter.

Equations (12)

Equations on this page are rendered with MathJax. Learn more.

I1=12 I0-12 cos ϕ+B0,  I2=12 I0+12 sin ϕ+B0,  I3=12 I0+12 cos ϕ+B0,  I4=12 I0-12 sin ϕ+B0,
ϕ=tan-1I4-I2/I1-I3.
n=ϕ2π
δ=nλ=ctσ1-σ2,  tσ1-σ2=nλc=nf,
tσ1-σ2=n1f1=n2f2.
n1/n2=1-k2  n2/n1=1+k1,
k1=f1/f2-1,  k2=1-f2/f1.
n1=n2-n1/k1,  n2=n2-n1/k2.
N1=intn1,  N2=intn2,
a N1=N2,when ΔN1<ΔN2,b N1=N2-1,when ΔN1>ΔN2.
n1=N2+ΔN2-N1+ΔN1k1=ΔN2-ΔN1k1,  n2=N2+ΔN2-N1+ΔN1k2=ΔN2-ΔN1k2,
n1=1+ΔN2-ΔN1k1,  n2=1+ΔN2-ΔN1k2.

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