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Photothermoelastic investigation of stresses around a hole in a plate subjected to thermal shock

Purpose of study is to determine if the presence of a hole in a thermally shocked plate acts as a significant stress raiser

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Abstract

This paper contains a three-dimensional photothermoelastic study of stresses generated around the edge of a hole in a flat unrestrained plate subjected to a thermal shock uniformly applied to one face of the plate. The approach taken is experimental in nature, utilizing a newly developed three-dimensional, non-destructive photoelastic technique. An extrapolation procedure is formulated in order to determine transient fringe orders at the thermally shocked surface. For the case considered, the thermal-stress-concentration factor at the edge of the hole was found to be 1.28.

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Abbreviations

a :

thermal diffusivity (in.2/hr)

E :

modulus of elasticity (lb/in.2)

f :

material fringe value (lb/fringe-in.)

h :

heat-transfer coefficient (Btu/hr-ft2-° F)

k :

thermal conductivity (Btu/hr-ft2-° F/in.)

K :

thermal-stress-concentration factor

M n :

eigenvalues defined by eq (7)

n :

fringe order (fringes)

t :

thickness of photoelastic model (in.)

T :

temperature (° F)

ΔT :

temperature change (° F)

T i :

initial temperature of model (° F)

T j :

temperature of fluid against model boundary (° F)

T a :

surface temperature of model (° F)

x :

arbitrary length in heat-transfer equation (ft)

α:

coefficient of thermal expansion (in./in./° F)

δ1 :

thickness of heat-transfer model (ft)

θ:

time (hr)

ν:

Poisson's ratio

σ r , σ θ , σ z :

principal stress components in cylindrical coordinates (lb/in.2)

Φ =a θ/δ1 2 :

parameter used in heat-transfer equations

References

  1. Gerard, G., andGilbert, A., “Photothermoelasticity: An Exploratory Study,”Jnl. Appl. Mech.,24 (3),355–360 (1957).

    Google Scholar 

  2. Tramposch, H., andGerard, G., “An Exploratory Study of Three-Dimensional Photothermoelasticity,”Jnl. Appl. Mech.,28 (1),35–41 (1961).

    Google Scholar 

  3. Pant, B., “Photoelastic Analysis of Thermal Stresses for Openings in Structures,” First Congress on Theoretical and Applied Mechanics, India, 189–198 (1955).

  4. Becker, H., and Tramposch, H., “Photothermoelastic Investigation of Notched Plates,” New York University Technical Report, SM-59-1, Jan. 1959.

  5. Gerard, G., andTramposch, H., “Photothermoelastic Investigation of Transient Thermal Stresses in a Multiweb Wing Structure,”Jnl. Aero/ Space Sci.,26 (12),783–786 (1959).

    Google Scholar 

  6. Mielke, L. G., and MacLaughlin, T. F., “Thermal Stresses Arising in Gun Tubes During Repetitive Firing,” NASA Technical Note No. N63-16614.

  7. Leven, M. M., and Johnson, R. L., “Thermal Stresses on the Surface of Tube Sheet Plates (A Preliminary Report),” Westinghouse Research Labs Report 63-917-520-R2, Sept. 1963.

  8. Leven, M. M., andJohnson, R. L., “Thermal Stresses on the Surface of Tube Sheet Plates of 10 and 33 1/2 Percent Ligament Efficiency,”Experimental Mechanics,4 (12),356–365 (1964).

    Article  Google Scholar 

  9. Felton, L. P., and Crum, R. G., “Application and Verification of the Photothermoelastic Method,” Proc. Fourth U. S. Natl. Congress Appl. Mech., 577–584, Berkeley, Calif., June 1962.

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

    Google Scholar 

  11. Becker, H., andColao, A. A., “Photothermoelastic Investigation of Thermal Stress in Flat Plates,”Jnl. Basic Engrg., Series D,85 (4),566–568 (1963).

    Google Scholar 

  12. Tramposch, H., andGerard, G., “Correlation of Theoretical and Photothermoelastic Results on Thermal Stresses in Idealized Wing Structures,”Jnl. Appl. Mech.,27 (1),79–86 (1960).

    Google Scholar 

  13. Becker, H., “An Exploratory Study of Stress Concentrations in Thermal Shock Fields,”Jnl. Engrg. for Industry, Series B,84 (3),343–348 (1962).

    Google Scholar 

  14. Frocht, M., and Srinath, L., “A Non-Destructive Method for Three Dimensional Photoelasticity,” Proc. Third U. S. Natl. Congress Appl. Mech., 329–337, Providence, R. I., June 1960.

  15. Tramposch, H., andGerard, G., “Physical Properties of Plastics for Photothermoelastic Investigations,”Jnl. Appl. Mech.,25 (4),525–528 (1958).

    Google Scholar 

  16. Tuppeny, W. H., “Photoelastic Analysis of Thermal Stresses at the Skin of a Thick Plate with a Hole,” Combustion Engineering, Inc., Private Communication, Feb., 1963.

  17. Schneider, P. J., “Conduction Heat Transfer,”Addison-Wesley Publishing Co., Inc., Reading, Mass. (1955).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Douglas Aircraft Co., Inc., Santa Monica, Calif.

    G. A. Gurtman (Research Engineer)

  2. Target Rock Corp., Hempstead, N. Y.

    A. A. Colao (Research Engineer)

Authors
  1. G. A. Gurtman
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  2. A. A. Colao
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Additional information

Work reported herein was conducted by the Douglas Missile and Space Systems Division under company sponsored Research and Development funds.

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Gurtman, G.A., Colao, A.A. Photothermoelastic investigation of stresses around a hole in a plate subjected to thermal shock. Experimental Mechanics 5, 97–104 (1965). https://doi.org/10.1007/BF02323946

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  • DOI: https://doi.org/10.1007/BF02323946

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