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Experimental investigation of transient thermal stresses in a solid sphere

Investigation indicates that three-dimensional models subjected to transient thermal loads can be analyzed for the state of stress with scattered-light photoelasticity

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Abstract

An experimental investigation was made to determine if a transient-thermal-stress distribution could be effectively analyzed using scattered-light photoelasticity. the problem selected for investigation was a solid sphere at one temperature subjected to a spherical symmetric temperature distribution at a different temperature. The results and techniques are discussed.

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Abbreviations

A :

Angstrom

b :

radius of sphere

C :

stress-optic coefficient

E :

modulus of elasticity

r,θ,ϕ:

spherical coordinates

T 0 :

temperature change

t :

time

α:

thermal diffusivity

αt :

coefficient of thermal expansion

ν:

Poisson's ratio

ρ:

πr/b

σ r ,σ ψ ,σ φ :

normal stress components inr,θ,ϕ directions

ω1 :

απ2 t/b 2

References

  1. Leven, M. M., “Epoxy Resins for Photoelastic Use,” Proceedings of the International Symposium on Photoelasticity, Oxford et al., Pergamon Press, 145–165 (1963).

  2. Nix, G. H., Lowery, G. W., Vachon, R.I., and Tanger, G.E., “Direct Determination of Thermal Diffusivity and Conductivity with a Refined Line-Source Technique,” to appear in AIAA Series, Progress in Aeronautics and Astronautics,20 (December 1967).

  3. Frocht, M. M., and Srinath, L. S., “A Non-destructive Method for Three-dimensional Photoelasticity,” Proceedings of the Third U.S. National Congress on Applied Mechancis, 329–337 (1958).

  4. Swinson, W. F., andBowman, C. E., “Application of Scattered-light Photoelasticity to Doubly Connected Tapered Torsion Bars,”Experimental Mechanics,6 (6),297–305 (June,1966).

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  5. Frocht, M. M., and Guernsey, R., Jr., “A Special Investigation to Develop a General Method for Three-Dimensional Photoelastic Stress Analysis,” NACA Technical Note 2822 (December 1952).

  6. Melan, E., “Warmespannungen bei der abkuhlung einer Kugel,”Acta Phusica Autraca,10,81–86 (May1955).

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  7. Cheng, Y. F., “A Dual-observation Method for Determining Photoelastic Parameters in Scattered Light,” Proceedings of the Second International Congress of Experimental Mechanics, 132–136 (1965).

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Authors and Affiliations

  1. NASA/George C. Morshall Space Flight Center, Huntsville, Ala.

    J. B. Davis

  2. Mechanical Engineering Department, School of Engineering, Auburn University, Auburn, Ala.

    W. F. Swinson (Professor)

Authors
  1. J. B. Davis
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  2. W. F. Swinson
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Davis, J.B., Swinson, W.F. Experimental investigation of transient thermal stresses in a solid sphere. Experimental Mechanics 8, 424–428 (1968). https://doi.org/10.1007/BF02326004

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  • DOI: https://doi.org/10.1007/BF02326004

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