Abstract
Based on Tresca's yield condition and the associated flow rule, the stress distribution in a rotating solid cylinder of elastic-perfectly plastic material under plane strain is discussed. It is shown that the plastic core consists of two parts with different regimes of the yield condition. With increasing angular velocity, a second plastic zone forms at the boundary and spreads inwards.
Zusammenfassung
Untersucht wird die Spannungsverteilung in einem rotierenden Zylinder aus elastisch-ideal-plastischem Material unter der Voraussetzung des ebenen Verzerrungszustandes. Zugrundegelegt ist die Trescasche Fließbedingung und die zugeordnete Fließregel. Der plastische Kern besteht aus zwei Teilen mit unterschiedlichen Regimes der Fließbedingung. Bei Steigerung der Winkelgeschwindigkeit bildet sich am Rand eine zweite Fließzone aus, die nach innen wandert.
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Gamer, U., Sayir, M. Elastic-plastic stress distribution in a rotating solid shaft. Z. angew. Math. Phys. 35, 601–617 (1984). https://doi.org/10.1007/BF00952107
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DOI: https://doi.org/10.1007/BF00952107