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Superposition of photoelastic data

The superposition principle of photoelasticity is deduced. It is demonstrated by a rod subjected to diametral loads and pure bending

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Abstract

The fringe order and twice the isoclinic angle define a vector which allows to superimpose photcelastic data originating from identical locations by vectorial addition. The method holds true also for slices of the stress-freezing method. In a check of this method, the curves of pure bending result.

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Abbreviations

F :

force (N)

f :

isochromatic-fringe constant (N/fr·m)

i :

row number

j :

subscript

k :

column number

M :

bending moment (N·m)

m :

error interval

N :

isochromatic-fringe order (fr)

n :

number of superimposed loads

p, q :

principal stresses (Pa)

r :

subscript denoting resultant

t :

model thickness (m)

x, y :

cartesian coordinates (m)

θ:

isoclinic angle (deg)

σ:

normal stress (Pa)

τ:

shear stress (Pa)

References

  1. Coker, E. G. andFilon, L. M. G., A Treatise to Photoelasticity, 2nd ed., Univ. Press, Cambridge, 258–260 (1957).

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  2. Föppl, L. andMönch, E., Praktische Spannungsoptik, 3rd ed., Springer-Verlag, Berlin/Heidelberg/New York (1971).

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  3. Frocht, M. M., Photoelasticity, John Wiley and Sons Inc., New York, Vol. I (1941),Vol. II (1948).

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  4. Frocht, M. M., Photoelasticity, John Wiley and Sons Inc., New York, Vol. II, 333–336 (1948).

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  5. Friedrich, G., Automatisiertes Schubspannungsdifferenzenverfahren mit Ausgleich zur vollständigen Auswertung in der Spannungsoptik, Doctoral Thesis, Technical University Munich, 140–152 (1974).

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Friedrich, G. Superposition of photoelastic data. Experimental Mechanics 17, 33–36 (1977). https://doi.org/10.1007/BF02324269

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  • DOI: https://doi.org/10.1007/BF02324269

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