Photo Elastic and Finite Element Analysis of Circular Ring Subjected to Diametral Compression

Stress State in an Eccentric Elastic Ring Loaded Symmetrically by Concentrated Forces

“…It is worth mentioning that the form of Equation ( 72) permits finding the coefficients A k , B k , C k , D k directly since they are not expressed by recurrence relations as in Equation (65). The discriminant of Equation ( 72) can be calculated as follows:…”

“…The validation of a model can be obtained in two manners: qualitatively, by comparing the theoretical/numerical fields with the experimental ones provided by isochromatics (curves obtained for the constant difference between the normal principal stresses) [58,59], and quantitatively, by finding the complete stress tensor field; this requires finding, in addition to the isochromatic fields, the isoclinic fields (curves for which the directions of the principal stresses are the same) and the isopachic fields (curves for which the sum of the normal principal stresses is constant) [60][61][62][63]. The photoelastic method was first applied to demonstrate the effect of stress concentration of a circular hole by Wahl [64], then by Cooker and Filon in a chapter from a monograph [65], by Frocht [60,61] and later by Yamamoto [66,67]. A problem arising in the last case is the fact that the isoclinics overlap the isochromatics and, furthermore, are perceptible only in the vicinity of singular points (including the points where the concentrated loads are applied).…”