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A simplified optical method for measuring residual stress by rapid cooling in thermosetting resin strip

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Abstract

This paper presents a simplified optical method for measuring the residual stresses by rapid cooling in thermosetting resin strips. First, the fundamental equations for calculating the residual stress from the residual birefringence were obtained by the linear photoviscoelastic theory. The specimens were then subjected to rapid cooling. After rapid cooling, the residual stress was measured by two methods, the simplified optical method mentioned above and the well-known layer-removal method. The effectiveness of the simplified optical method was discussed by comparing results of the two methods.

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Abbreviations

a T o :

time-temperature shift factor

C G, CR :

relaxation birefringence-strain coefficient in glassy state and rubbery state, fr/m

C er :

relaxation birefringence-strain coefficient, fr/m

d :

width of strip, m

E G, ER :

relaxation modulus in glassy state and rubbery state, Pa

E r :

relaxation modulus, Pa

F c :

normalized relaxation birefringence-strain coefficient

F E :

normalized relaxation modulus

h :

thickness of strip, m

l :

length of strip, m

N, N r :

fringe order and residual fringe order, fr

n, n r :

fringe order and residual fringe order per unit thickness, fr/m

R :

universal gas constant, 8.31 J/mol·K

T :

temperature, °C

T c :

cooling temperature, °C

T g :

glass-transition temperature, °C

T h :

holding temperature, °C

T o :

reference temperature, °C

t, t′ :

time and reduced time, s

x, y, z :

rectangular coordinates, m

α:

coefficient of thermal expansion, K−1

αG, αR :

coefficient of thermal expansion in glassy state and rubbery state, K−1

ΔH :

activation energy, J/mol

∈, ∈r :

expansion and residual expansion

∈σ, ∈σ r :

strain and residual strain

K,K r :

curvature and residual curvature, m−1

λ:

light wavelength, m

ν:

Poisson's ratio

σ, σr :

stress and residual stress, Pa

References

  1. Arenz, R.J., Ferguson, C.W. andWilliams, M.L., “The Mechanical and Optical Characterization of a Solithane 113 Composition,”Experimental Mechanics,7 (4),183–188 (April 1967).

    Article  Google Scholar 

  2. Arenz, R.J., Ferguson, C.W., Kunio, T. and Williams, M.L., “The Mechanical and Optical Characterization of Hysol 8705 with Application to Photoviscoelastic Analysis,” GALCIT SM 63-31, Cal. Inst. of Tech. (Oct. 1963).

  3. Kunio, T. and Miyano, Y., “Photoviscoelastic Analysis by Use of Polyurethane Rubber,” Appl. Mech. (Proc. 12th Int. Cong. Appl. Mech.), 269–276 (Aug. 1968).

  4. Miyano, Y., Tamura, T. andKunio, T., “The Mechanical and Optical Characterization of Polyurethane with Application to Photoviscoelastic Analysis,”Bul. JSME,12,26–31 (1969).

    Google Scholar 

  5. Sugimori, S., Miyano, Y. andKunio, T., “Photoviscoelastic Analysis of Thermal Stress in a Quenched Epoxy Beam,”Experimental Mechanics,24 (2),150–156 (June 1984).

    Article  Google Scholar 

  6. Miyano, Y., Shimbo, M. andKunio, T., “Viscoelastic Analysis of Residual Stress in Quenched Thermosetting Resin Beam,”Experimental Mechanics,22 (8),310–316 (Aug. 1982).

    Article  Google Scholar 

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Authors and Affiliations

  1. Materials System Research Laboratory, Kanazawa Institute of Technology, 7-1 Ohgigaoka, 921, Nonoichi, Ishikawa, Japan

    Y. Miyano (Professor)

  2. Production Engineering Research Laboratory, Hitachi Ltd., 292 Yoshida-cho, 244, Totsuka-ku Yokohama, Japan

    S. Nakamura (Researcher)

  3. Maerials System Research Laboratory, Kanazawa Institute of Technology, 3-14-1 Hiyoshi, 223, Kohoku-ku Yokohama, Japan

    S. Sugimori (Professor)

  4. Department of Mechanical Engineering, Keio University, 3-14-1 Hiyoshi, 223, Kohoku-ku Yokohama, Japan

    T. Kunio (Professor)

  5. Department of Mechanical Engineering, University of Pittsburgh, 15261, PA

    T. C. Woo (Professor)

Authors
  1. Y. Miyano
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  2. S. Nakamura
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  3. S. Sugimori
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  4. T. Kunio
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  5. T. C. Woo
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Miyano, Y., Nakamura, S., Sugimori, S. et al. A simplified optical method for measuring residual stress by rapid cooling in thermosetting resin strip. Experimental Mechanics 26, 185–192 (1986). https://doi.org/10.1007/BF02320013

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  • DOI: https://doi.org/10.1007/BF02320013

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