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Scattered-light rosette

Three simultaneous, polarized-light beams intersecting at a surface point yield sufficient scattered-light photoelastic data to evaluate the stresses at a surface point

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Abstract

A newly developed concept, called thescattered-light, rosette, is used to determine the state of stress on a free surface. Three simultaneous, polarized-light beams intersecting at a surface point yield sufficient scattered-light photoelastic data to evaluate the stresses at a surface point. After initial calibration, the surface-stress analysis consists of a series of photographs, one photograph for each point of interest. General equations are derived which are valid for any three light beams intersecting at a surface point on a stressed, photoelastic material. Simplifications of the general equations and techniques are also noted. Stresses obtained from the scattered-light-rosette analysis are compared with the known solutions for two problems.

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Abbreviations

c :

material-fringe constant

\(\overline i , \overline j , \overline k \) :

unit vectors alongX, Y andZ axes, respectively

l,m,n :

direction cosines of a line referenced to Cartesian coordinatesX, Y, andZ

n f :

fringe order

N,T,V :

Cartesian-coordinate system

p′:

maximum secondary principal stress

q′:

minimum secondary principal stress

\(\overline S _N \) :

total stress vector on theN surface

S NX ,S NY ,S NZ :

scalar components of\(\overline S _N \) alongX, Y andZ directions, respectively

X, Y, Z :

Cartesian-coordinate system

θ12 :

angle between light beams One and Two

θ13 :

angle between light beams One and Three

θ1Z :

angle between light beam One andZ direction

σN,σT,σV:

normal-stress components in Cartesian cordinatesN, T andV

σX,σY,σZ:

normal-stress components in Cartesian coordinatesX, Y andZ

τNT,τNV,τTN:

shear-stress components in Cartesian coordinatesN, T andV

τXY,τXZ,τYZ:

shear-stress components in Cartesian coordinatesX, Y andZ

ψ:

angle betweenZ andT directions

Reference

  1. McKinney, J. M. andSwinson, W. F., “Location of the Maximum Secondary Principal Axis in Scattered Light Photoelasticity,”Developments in Theoretical and Applied Mechanics 4,Pergamon Press Limited,Oxford (1969).

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Authors and Affiliations

  1. Combustion Engineering, Inc., 06095, Windsor, Conn

    J. D. Fishburn

  2. Auburn University, 36830, Auburn, Ala.

    R. W. Aderholdt, W. F. Ranson & W. F. Swinson

Authors
  1. J. D. Fishburn
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  2. R. W. Aderholdt
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  3. W. F. Ranson
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  4. W. F. Swinson
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Fishburn, J.D., Aderholdt, R.W., Ranson, W.F. et al. Scattered-light rosette. Experimental Mechanics 11, 554–559 (1971). https://doi.org/10.1007/BF02329098

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  • DOI: https://doi.org/10.1007/BF02329098

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