Stress-Optic Law

Description

Photoelasticity is an experimental method to determine the stress distribution in a material.Unlike the analytical methods of stress determination, photoelasticity gives a fairly accurate picture of stress distribution, even around abrupt discontinuities in a material. The method is an important tool for determining critical stress points in a material, and is used for determining stress concentration in irregular geometries.
When a ray of light passes through a photoelastic material, its electromagnetic wave components gets resolved along the two principal stress directions and each of these components experiences different refractive indices due to the birefringence. The difference in the refractive indices leads to a relative phase retardation between the two components. Assuming a thin specimen made of isotropic materials, where two-dimensional photoelasticity is applicable. The magnitude of the relative retardation is given by the stress-optic law

Related formulas

Variables

Δinduced retardation (dimensionless)
πpi
tspecimen thickness (m)
λwavelength (m)
Cstress-optic coefficient (m2/N)
σ1first principal stress (N/m2)
σ2second principal stress (N/m2)