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Analysis of behavior near a cylindrical glass inclusion by scattered-light photoelasticity

Application of scattered-light photoelasticity to the determination of normal-stress differences and shearing stresses in a matrix due to an embedded circular cylinder is described and demonstrated experimentally by the author

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Abstract

Application of scattered-light photoelastic techniques to the determination of the normal-stress differences and shearing stresses in the matrix near an Eglass rod embedded in a polyester-resin matrix under tension is discussed. The rod is semi-infinite, that is, it extends from the center of the test section through one of the grip ends. Specific methods for making the three-dimensional scattered-light observations on the composite specimen under load are described in detail. Some typical fringe patterns are presented. Results will be useful in predicting the behavior of fibrous-glass-reinforced plastic composites since both matrix and inclusion are made of prototype materials. The system is modeled in geometric scale only.

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Abbreviations

a, b, c :

orthogonal coordinates

C :

stress-optical coefficient or fringe contact

dF/ds :

rate of change of fringe order with distance,s, along light beam

D i :

“secondary” principal stress difference

r, θ,z :

orthogonal cylindrical coordinates

α, β, γ:

orthogonal coordinates

σ a , σ b , σ c :

normal stresses in thea, b, c coordinates

T ab , T bc , T ac :

shearing stresses in thea, b, c coordinates

σ r , σθ, σ z :

normal stresses in ther, θ,z coordinates

T r θ, Tθz , T rz :

shearing stresses in ther, θ,z coordinates

σα, σβ, σγ :

normal stresses in the α, β, γ coordinates

Tαβ, Tβγ, Tαγ :

shearing stresses in the α, β, γ coordinates

D i :

“secondary” principal stress

ϕ:

angle of rotation of coordinates

ψ:

angle of rotation of coordinates

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Authors and Affiliations

  1. Technical Center, Owens-Corning Fiberglas Corp., Granville, Ohio

    David R. Jenkins (Senior Research Fellow)

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  1. David R. Jenkins
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Jenkins, D.R. Analysis of behavior near a cylindrical glass inclusion by scattered-light photoelasticity. Experimental Mechanics 8, 467–473 (1968). https://doi.org/10.1007/BF02327411

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  • DOI: https://doi.org/10.1007/BF02327411

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