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On hardening and yield surface motion in plasticity

Zu Verfestigung und Fließflächenveränderung in der Plastizitätstheorie

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Summary

In this paper several physically motivated assumptions concerning the tangent modulus of one-dimensional stress-strain curves in plasticity are generalized to three dimensions. General restrictions on the choice of functions present in the constitutive relations of plasticity are derived. A simple case in which yield surface contraction occurs is treated. Also, some acceptable yield functions are determined for a simple case of nonlinear kinematic hardening.

Zusammenfassung

In dieser Arbeit werden verschiedene physikalisch begründete, den Tangentenmodul des eindimensionalen Spannungs-Dehnungs-Diagrammes betreffende Annahmen auf drei Dimensionen verallgemeinert. Allgemeine Einschränkungen der in den Werkstoffbeziehungen der Plastizitätstheorie auftretenden Funktionen werden hergeleitet. Ein einfacher Fall, bei dem eine Kontraktion der Fließfläche auftritt, wird behandelt. Ferner werden einige für den einfachen Fall der nichtlinearen kinematischen Verfestigung geeignete Fließfunktionen bestimmt.

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  1. Research Division, The Goodyear Tire & Rubber Company, Akron, Ohio, USA

    D. W. Nicholson

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  1. D. W. Nicholson
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Nicholson, D.W. On hardening and yield surface motion in plasticity. Acta Mechanica 21, 193–207 (1975). https://doi.org/10.1007/BF01181054

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  • DOI: https://doi.org/10.1007/BF01181054

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