Summary
By modifying the translational rule in a non-linear, kinematic hardening model, it is shown that some phenomena occuring during cyclic loading can be simulated: stress relaxation for cycles with prescribed strain amplitude superposed upon fixed strain, axial strain accumulation for asymetric stress cycle, cyclic hardening or softening. It is also shown that the variation of hardening modulus along the yield surface after plastic prestrain is fairly well described by the present model. The accumulation and relaxation phenomena depend on additional material function which can be determined from uniaxial loading-unloading or cyclic loading tests.
Zusammenfassung
Durch Modifizieren der Verschiebungsregel in einem nichtlinearen Verzerrungsverfestigungsmodell wird gezeigt, daß einige bei zyklischer Belastung auftretende Erscheinungen beschrieben werden können: Spannungsrelaxation für Zyklen mit vorgegebener Verzerrungsamplitude und festem Mittelwert, achsiale Verzerrungsakkumulation für asymmetrische Spannungszyklen, zyklische Ver- oder Entfestigung. Ferner wird gezeigt, daß das Modell die Veränderung des Verfestigungsmoduls entlang der Fließfläche nach plastischer Vorverformung einigermaßen gut beschreibt. Die Akkumulations- und Relaxationserscheinungen hängen von zusätzlichen Werkstoffunktionen ab, welche in einachsigen Be- und Entlastungsversuchen oder solchen mit zyklischer Belastung ermittelt werden können.
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Mróz, Z., Shrivastava, H.P. & Dubey, R.N. A non-linear hardening model and its application to cyclic loading. Acta Mechanica 25, 51–61 (1976). https://doi.org/10.1007/BF01176929
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DOI: https://doi.org/10.1007/BF01176929