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Application of the Theory of Fracture on the Surface of Instability
Author(s) -
Makky S. M.
Publication year - 1966
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19660460703
Subject(s) - torsion (gastropod) , torsion constant , bar (unit) , instability , torsion spring , materials science , cylinder , geometry , mechanics , structural engineering , physics , mathematics , engineering , anatomy , medicine , meteorology
In a previous paper by the author [1], fracture surfaces of round bars under pure torsion are considered. To exclude the effects on the stress distribution of the displacements along the axis of the bar, it was assumed that the bar is made of plastic‐rigid material. This insured that the bar remained in pure torsion. In this paper a more realistic case is considered which includes the effects of the axial stress in a round bar under torsion when the two ends of the bar are confined to lie in fixed planes. Such a case will be denoted by the shorter term „fixed ends”, and the therm „free ends” will be used when there is no such restriction. For the case of pure torsion it was shown that the bar is most likely to fracture on a helicoidal surface whose intersection with the cylindrical surface of the bar is a helix making a 45º with the generator of the cylinder. In this paper, it is shown that a bar with fixed ends under torsion is subject to fracture along a cross section.