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Effect of rotating secondary principal axes in scattered-light photoelasticity

Paper presents a set of equations and a discussion of the effect of rotation on the secondary principal axes

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Abstract

A set of equations is presented and the effect of rotation of the secondary principal stress axes is discussed. The equations, general and relatively simple, adequately describe observed results. In studying the equations, a better understanding of the rotational effect can be achieved, and a technique is suggested which can eliminate any error resulting from rotation. This technique and the concepts involved are substantiated with experimental evidence and reported in this paper.

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Abbreviations

a, b :

maximum amplitude of light components

A :

area

c :

stress-optic coefficient

C :

apparent amplitude of polarized light

D :

diameter

F :

axial force

I :

intensity

J :

polar moment of inertia

p′:

maximum secondary principal stress

q′:

minimum secondary principal stress

r :

radial distance

R :

resultant of scattered light

t :

time

T :

torque

u,v :

components of polarized-light vector

x,y,z :

rectangular coordinates

α:

angle of observation measured fromp′ direction

β:

angle between major axis of light ellipse andp′ direction

θ:

angle between reference axis and principal direction

ν:

scattering constant

σ:

normal-stress resultant

τ:

shear-stress component

ψ,ξ:

relative phase angles

References

  1. Jessop, H. T., “The Scattered Light Method of Exploration of Stresses in Two and Three Dimensional Models,” British Jnl. Appl. Phys.,2 (Sept. 1951).

  2. Hetényi, M., Handbook of Experimental Stress Analysis (1st Edition),John Wiley & Sons, Inc., New York (1950).

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  3. Drucker, D. R., and Mindlin, R. D., “Stress Analysis by Three-Dimensional Photoelastic Methods”Jnl. Appl. Phys.,11 (11) (1940).

  4. Leven, M. M., “Epoxy Resins for Photoelastic Use,” Proc. Internatl. Symposium, Illinois Institute of Technology, Chicago (October 1961).

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Authors and Affiliations

  1. Mechanical Engineering Dept., Auburn University, Auburn, Ala.

    R. W. Aderholdt (Instructors), J. M. McKinney (Instructors), W. F. Ranson (Instructors) & W. F. Swinson (Professor)

Authors
  1. R. W. Aderholdt
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  2. J. M. McKinney
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  3. W. F. Ranson
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  4. W. F. Swinson
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Aderholdt, R.W., McKinney, J.M., Ranson, W.F. et al. Effect of rotating secondary principal axes in scattered-light photoelasticity. Experimental Mechanics 10, 160–165 (1970). https://doi.org/10.1007/BF02324973

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  • DOI: https://doi.org/10.1007/BF02324973

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