Synopsis
An experimental method is investigated by which the elastic-plastic boundaries of a rectangular tapered beam having a single concentrated load acting at its free end can be determined. The method, based on the Tresca yield criterion, employs the isochromatics of the photoelastic stress pattern in birefringent coatings and is used to locate experimentally the elastic-plastic boundaries in a series of aluminum beams of small angles of taper. To check these boundary locations theoretically, the simple mechanics-of-materials elastic-plastic beam theory is used, and the comparisons of theoretical and experimental results are shown.
It is believed that the theoretical-experimental correlation is shown to be sufficiently close to indicate that the method presented is useful in determining the elastic-plastic boundaries in those problems which do not readily lend themselves to solution by analytical means.
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Paper is based on a part of the Ph.D. thesis, Theoretical and Applied Mechanics Department, University of Illinois, Urbana, Ill.
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Calcote, L.R., Bowman, C.E. Experimental determination of the elastic-plastic boundary. Experimental Mechanics 5, 262–266 (1965). https://doi.org/10.1007/BF02327150
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DOI: https://doi.org/10.1007/BF02327150