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Least squares asymptotic analysis of photoelastic data from stress concentration regions in plane problems
Author(s) -
Thompson J. C.,
Negus K. J.
Publication year - 1983
Publication title -
strain
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.477
H-Index - 47
eISSN - 1475-1305
pISSN - 0039-2103
DOI - 10.1111/j.1475-1305.1983.tb00473.x
Subject(s) - isotropy , stress (linguistics) , plane (geometry) , photoelasticity , stress concentration , least squares function approximation , mathematical analysis , stress field , plane stress , mathematics , materials science , geometry , structural engineering , optics , physics , engineering , statistics , cauchy stress tensor , finite element method , philosophy , linguistics , estimator
A complete separation of stresses throughout the entire stress concentration region near notches in plane, isotropic, linearly elastic plates is achieved using only conventional, easily obtained photoelastic (difference and directions of principal stresses) data. These data are analysed by a special least squares technique based on previously derived equations which describe the asymptotic character of the rapidly varying stress field near the root of the notch. The paper demonstrates the ability of the technique to predict stress concentrations as well as individual stresses accurately using only a small amount of data of typical experimental accuracy from arbitrary data points within the stress concentration zone.