Summary
In many problems of plastic deformation, when the prescribed loads or displacement do not increase in proportion but vary in a complex manner, for instance alternating between prescribed limits, more general work-hardening models are needed in order to describe the plastic behavior. One of such models, previously proposed by the author, is applied here in order to discuss superposition of fixed and alternating loads. In particular, the case of steady tension and alternating torsion is considered in detail and the rate of axial strain accumulation is computed. There is a qualitative aggreement between theoretical prediction and experimental data.
Zusammenfassung
Bei vielen plastischen Deformationsproblemen, bei denen die vorgeschriebenen Lasten oder Verschiebungen nicht proportional anwachsen, sondern sich in einer komplizierten Art ändern, etwa indem sie zwischen vorgegebenen Grenzen pendeln, werden allgemeinere Modelle der Arbeitsverfestigung nötig, um das plastische Verhalten zu beschreiben. Ein solches Modell, das kürzlich vom Autor vorgeschlagen wurde, wird hier angewendet, um die Überlagerung von festen und alternierenden Lasten zu diskutieren. Insbesondere wird der Fall des stationären Zuges und der alternierenden Torsion betrachtet und die Zuwachsrate der axialen Verzerrung berechnet. Die theoretische Vorhersage stimmt qualitativ mit den experimentellen Ergebnissen überein.
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Mróz, Z. An attempt to describe the behavior of metals under cyclic loads using a more general workhardening model. Acta Mechanica 7, 199–212 (1969). https://doi.org/10.1007/BF01176668
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DOI: https://doi.org/10.1007/BF01176668