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Large‐Deflection Solution of the Coaxial‐Ring‐Circular‐Glass‐Plate Flexure Problem
Author(s) -
KAO ROBERT,
PERRONE NICHOLAS,
CAPPS WEBSTER
Publication year - 1971
Publication title -
journal of the american ceramic society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.9
H-Index - 196
eISSN - 1551-2916
pISSN - 0002-7820
DOI - 10.1111/j.1151-2916.1971.tb12209.x
Subject(s) - coaxial , deflection (physics) , materials science , composite material , bending of plates , concentric , flexural strength , ring (chemistry) , brittleness , structural engineering , optics , bending , geometry , physics , mathematics , chemistry , engineering , organic chemistry , electrical engineering
Nonlinear deflections and radial surface stresses in thin elastic circular plates laterally deformed into symmetrical concave shapes are analyzed. The deformations are induced by loading each plate with a small center ring while the plate is resting on a ring of nearly the same diameter as the plate. The rings and plate are coaxial, i.e. concentric. Center deflections up to 3 and 4.5 times the plate thickness were predicted for ring‐diameter ratios of 0.5 and 0.2, respectively. The predicted deflection profiles at various loads agreed quite well with those which were determined experimentally on a chemically strengthened glass plate. This analysis provides a new criterion for using the coaxial‐ring loading method for flexural strength testing of brittle materials.