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Extension of oblique-incidence method to photo-orthotropic elasticity

The separation of principal stresses in transversely isotropic-birefringent-composite models by the oblique-incidence method is described

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Abstract

With the interpretation of isochromatic and isoclinic fringes in transparent, birefringent, orthotropic composites established, efforts have been in progress to determine the-individual values of the principal stresses or strains. Several methods have recently been proposed. Some of them utilize the photoelastic results only partially and rely on numerical procedures. Others have attempted to obtain the required information based entirely on experimental data. In this paper, the classical oblique-incidence technique is applied to transversely isotropic-birefringent composites. The proposed extension is verified by applying it to the problem of an orthotropic half-plane subjected to an edge-load.

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Abbreviations

E :

Young's modulus

f :

stress-fringe value

h :

thickness

k :

derived elastic constant

N :

isochromatic-fringe order

P :

load

u :

derived elastic constant

x, y :

cartesian coordinates

σ:

normal stress

τ:

shear stress

θ:

angle of oblique incidence

θ′:

optical isoclinic angle

ν:

Poisson's ratio

L :

direction along the reinforcement

n :

normal incidence

T :

direction perpendicular to the reinforcement

θ:

oblique incidence, corresponding to angle θ

x, y :

along the coordinate axes

References

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Prabhakaran, R. Extension of oblique-incidence method to photo-orthotropic elasticity. Experimental Mechanics 22, 462–467 (1982). https://doi.org/10.1007/BF02325424

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  • DOI: https://doi.org/10.1007/BF02325424

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