Developments in a least squares asymptotic analysis of isochromatic data from stress concentration regions in plane problems

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Abstract
A complete separation of stresses throughout the entire stress concentration region near notches in plane, isotropic, linearly elastic plates is achieved using only isochromatic (difference of principal stresses) data. These data, which are obtained easily by conventional photoelastic techniques, are analysed by a non‐linear least squares technique based upon previously derived equations describing the asymptotic character of the rapidly varying stress field near the root of the notch. This paper demonstrates that isochromatic data of typical experimental accuracy from relatively few, arbitrarily located data points within the highly stressed region is sufficient to accurately predict the entire stress field, including location and magnitude of critical stress(es).