Abstract
A plot of ratios of torsion and bending fatigue limits for ductile materials is shown [1] in fig. 1, and it is seen that the results are in better agreement with the Mises criterion [2] than with the maximum shear theory [8]. It is generally recognized that fatigue failure in ductile materials starts by formation of slip bands [3], and it will therefore be of interest to consider differences in the formation of slip bands in torsion and tension. Published results [4], [5]on slip of all grains in a randomly oriented aggregate of cubic crystals in torsion and in tension showed close agreement with the Mises criterion. Since, however, slip of all grains is not a realistic requirement for fatigue, it was thought worthwhile to analyze the slip problem as a function of percentage of number of grains having slipped in terms of total number of grains.
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Peterson, R.E. (1956). Torsion and tension relations for slip and fatigue. In: Weibull, W., Odqvist, F.K.G. (eds) Colloquium on Fatigue / Colloque de Fatigue / Kolloquium über Ermüdungsfestigkeit. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-99854-6_21
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