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A pseudo two-dimensional photoelastic method of testing axisymmetric geometries

The parametric variation of the maximum stress at the conicyl as a function of various geometric parameters is determined by the author using a pseudo two-dimensional photoelastic method

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Abstract

Problems involving three-dimensional bodies which possess axial symmetry reduce to two-dimensional analytical problems. If a wedge-shaped portion of an axisymmetric body is tested subjected to the proper boundary condition, then a pseudo two-dimensional photoelastic method of testing may be used. This results in tremendous simplification in testing procedures, particularly when slight changes in model geometry are to be made during the course of testing.

This method has been applied to axisymmetric solidpropellant rocket grains to conduct a parametric study of various conicyl geometries. Both pressure and thermal loads were considered for a case-bonded grain. Six parameters were required to define the geometry. The effects of these parameters and of the material properties of the grain were investigated, and parametric curves showing the variation of the maximum stress with those parameters are presented.

The experimental results are compared with results obtained from a finite-element computer solution. Good agreement is obtained.

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References

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

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  2. Fourney, M. E. and Schmidt, W. F., “Extension of Photoelastic Design Data to Case-Bonded Grains and Axisymmetric Geometries,” AFSC Report No. AFRPL-TR-68-136, Sept. 1968.

  3. Holsapple, K. A., Schmidt, W. F. and Fourney, M. E., “Some Pressure-Temperature Equivalents in Elasticity, with Application to Case-Bonded Solid Propellant Rocket Grains,” To appear in Journal of Applied Mechanics.

  4. Becker, E. B. and Brisbane, J. J., “Application of the Finite Element Method to Stress Analysis of Solid Propellant Rocket Grains,” Rohm and Haas Report No. S-76, Nov. 18, 1965.

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Authors and Affiliations

  1. Department of Aeronautics and Astronautics, University of Washington, 98105, Seattle, Wash

    M. E. Fourney (Research Associate Professor)

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  1. M. E. Fourney
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Fourney, M.E. A pseudo two-dimensional photoelastic method of testing axisymmetric geometries. Experimental Mechanics 11, 19–25 (1971). https://doi.org/10.1007/BF02320706

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  • DOI: https://doi.org/10.1007/BF02320706

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