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A generalized method for photoelastic studies of transient thermal stresses

A versatile test method for three-dimensional photoelastic studies of transient and steady-state thermal stresses is described. It is applied to study the stresses in a flat plate subject to varying temperature gradients through its thickness

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Abstract

This paper describes the apparatus and experimental method which was developed for generalized studies of transient thermal stresses in photoelastic models of many different shapes under a variety of steady-state or transient temperature conditions. It explains how the desired temperature gradients are established in the models and how rapidly changing temperature and stress profiles are monitored during a test.

The experimental method is used to study the stresses in a three-dimensional photothermoelastic model subjected to three different temperature sequences. These are: symmetrical cooling of both faces of a thick plate initially at a uniform temperature; heating of one face only of a thick plate initially at a uniform temperature; and heating of only the cold face of a thick plate with an initial linear temperature gradient through its thickness. The last sequence generated temperature profiles which relate to conditions where internal heating is present. The resultant temperature and stress histories for each case are presented graphically and similarity scales are applied to give correct time-stress relations for a typical steel prototype.

The magnitude and time of occurrence of the peak stresses on the boundary, as well as in the interior of the plate are found. These stresses are very high and occur comparatively late in each test, at a time when the temperature of the central plane has already started to respond to the changing conditions at the surface.

The model was of the sandwich-type construction used by previous investigators, which has a built-in polariscope to isolate a transverse plane for viewing.

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References

  1. Weibel, E.E., “Thermal Stresses in Cylinders by the Photoelastic Method”, Proc. Fifth Intl. Cong. Appl. Mech., Cambridge, 213–220 (1938).

  2. Gerard, G. andGilbert, A.C., “Photothermoelasticity: An Exploratory Study,”Jnl. Appl. Mech.,24,Trans. ASME,79,355–360 (1957).

    Google Scholar 

  3. Tramposch, H. andGerard, G., “An Exploratory Study of Three Dimensional Photothermoelasticity,”Jnl. Appl. Mech.,28,35–40 (March1961).

    Google Scholar 

  4. Gerard, G., “Progress in Photothermoelasticity,”Intl. Symposium on Photoelasticity, M. Frocht, ed., Pergamon, Press, New York (1963).

    Google Scholar 

  5. Daniel, I. M. andDurelli, A. J., “Photothermoelastic Analysis of Bonded Propellant Grains,”Experimental Mechanics,1 (3),97–104 (1961).

    Article  Google Scholar 

  6. Durelli, A. J. andParks, V. J., “Photoelasticity Methods to Determine Stresses in Propellant-grain Models,”Experimental Mechanics,5 (2),33–46 (1965).

    Article  Google Scholar 

  7. Samson, R. C., “A Three-dimensional Photoelastic Method for Analysis of Differential-contraction Stresses,”Experimental Mechanics,3 (10),225–237 (1963).

    Google Scholar 

  8. Jenkins, W. C., “Comparison of Pressure and Temperature Stress-concentration Factors for Solid Propellant Grains,”Experimental Mechanics,8 (2),94–96 (1968).

    Article  Google Scholar 

  9. Rothstein, R. J. andKirkwood, W. F., “Photothermoelastic Analysis of Stresses in Multiconnected Flat Circular Rings,”Experimental Mechanics,4 (8),237–243 (1964).

    Article  Google Scholar 

  10. Emery, A. F., Barrett, C. F., andKobayashi, A. S., “Temperature Distributions and Thermal Stresses in a Partially Filled Annulus,”Experimental Mechanics,6 (12),602–608 (1966).

    Article  Google Scholar 

  11. Becker, H., “An Exploratory Study of Stress Concentrations in Thermal Shock Fields,”Jnl. Engng. for Industry (ASME Ser. B),84,343–348 (1962).

    Google Scholar 

  12. Gurtman, G. A. andColao, A. A., “Photothermoelastic Investigation of Stresses around a Hole in a Plate Subjected to Thermal Shock,”Experimental mechanics,5 (4),97–104 (1965).

    Article  Google Scholar 

  13. Leven, M. M. andJohnson, R. L., “Thermal Stresses on the Surface of Tube-sheet Plates at 10 and 33 1/3 Percent Ligament Efficiency,”Experimental mechanics,4 (12),356–365 (1964).

    Article  Google Scholar 

  14. Slot, T., “Photoelastic Simulation of Thermal Stresses by Mechanical Prestraining,”Experimental Mechanics,5 (9),273–282 (1965).

    Article  Google Scholar 

  15. Burger, C. P., “Photoelastic Analysis of Thermal Stresses,”PhD Thesis, University of Cape Town, South Africa (1967).

    Google Scholar 

  16. Boley, B. A. andWeiner, J. H., Theory of Thermal Stresses, John Wiley and Sons, New York (1960).

    Google Scholar 

  17. Timoshenko, S. andGoodier, J. N., Theory of Elasticity, McGraw-Hill Book Co., New York, 2nd ed. (1951).

    Google Scholar 

  18. Dally, J. W. andRiley, W. F., Experimental Stress Analysis, McGraw-Hill Book Co., New York (1965).

    Google Scholar 

  19. Durelli, A. J. andRiley, W. F., Introduction to Photomechanics, Prentice-Hall, Inc., Englewood Cliffs (1965).

    Google Scholar 

  20. Hovanesian, J. D. andKowalski, H. C., “Similarity in Thermo-elasticity,”Experimental Mechanics,7 (2),82–84 (1967)

    Article  Google Scholar 

  21. The Franklin Institute Research Laboratories, Thermal Stress Techniques in the Nuclear Industry, Elsevier Publishing Co., New York (1965).

  22. Burger, C. P., “Photoelastic Study of Thermal Stress Concentrations in a Plate with a Small Change in Thickness,” Eleventh Midwestern Mechanics Conference, Ames, Iowa (1969).

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Burger, C.P. A generalized method for photoelastic studies of transient thermal stresses. Experimental Mechanics 9, 529–537 (1969). https://doi.org/10.1007/BF02316655

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  • DOI: https://doi.org/10.1007/BF02316655

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