An unstrained rubber is isotropic in its optical, however, it becomes birefrigent, as can be readily demonstrated by stretching a film of vulcanized rubber between crossed polaroid plates. On release of the stress it reverts to optically isotropic state.
In the testing the tensile strength of rubber useing the dumb-bell shape, measured photoelastic number to stress-strain relationships, we gained formulae (1) and (2).
σ/n/t=f/λ……(1)
ε/n/t=f/E
R……(2)
where σ: stress, ε: strain, λ: elongation ratio λ=1+ε,
t: thickness of rubber,
f: photoelastic constant,
n: photoelastic number
E
R and ν
R from this study seriess report No. 1.
E
R=2G(1+ν
R)
ER; Rubber-like Young′s modulus
ν
R=1-1/√<λ>/λ-1 ν
R; Rubber-like Poisson′s ratio
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