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Photoelastic analysis of an orthotropic plate on a nonlinear foundation

The techniques and results of stress freezing an orthotropic plate on a continuous, nonlinear foundation are presented in this pape

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Abstract

Frozen-stress techniques were used to analyze an orthotropic plate on a continuous, nonlinear foundation. A long-range objective of the investigation was to provide experimental results to compare with a future finite-element analysis of the same type problem. Data were presented to illustrate principal stress magnitudes and directions. Close agreement of a static equilibrium check of the nonlinear foundation with the applied load experimentally verified the procedure used for calculation of external pressure on the model-foundation interface.

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Abbreviations

c′ :

calibration constant, psi/fringe/in.

p :

pressure at model-foundation interface, psi

t :

slice thickness, in.

N :

fringe order

δ:

deflection of foundation, in.

δ e :

elastic deflection of model, in.

δ rb :

“rigid body” displacement of model, in.

σ i :

principal stress, psi:i=1,2,3

σ t :

principal stress in fillets of model, psi

σ z :

externally applied principal stress, psi

References

  1. Chilver, A. H., Thin-Walled Structures, Part II, Ch. 5, John Wiley & Sons, Inc., New York (1967).

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  2. Durelli, A. J. andRiley, W. F., Introduction to Photomechanics, Ch. 3, Prentice-Hall, Inc., New Jersey (1965).

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  3. Fenwick, W. B., “Evaluation of Harvey Modified AM2 Landing Mat,” U. S. Army Engineer Waterways Experiment Station Misc. Paper No. 4-747 (October, 1965).

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Case, R.O., Gambrell, S.C. Photoelastic analysis of an orthotropic plate on a nonlinear foundation. Experimental Mechanics 9, 481–488 (1969). https://doi.org/10.1007/BF02319691

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  • DOI: https://doi.org/10.1007/BF02319691

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