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A model of nonlinearly hardening materials for complex loading

Ein Modell für Werkstoffe mit nichtlinearer Verfestigung unter zusammengesetzter Belastung

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Summary

A number of observations are made on the macroscopic behavior of materials subjected to uniaxial random cyclic loadings. These observations are then generalized to construct a model describing the material behavior for complex multiaxial loadings, in particular for cyclic loadings. This generalization introduces the concept of a bounding surface in the stress space which always encloses the loading surface. A parameter defined by the relative position of the loading and the bounding surface, and the plastic work done during the most recent loading, determine the value of the plastic modulus.

Zusammenfassung

Zahlreiche Beobachtungen des makroskopischen Verhaltens von Werkstoffen unter beliebiger zyklischer einachsiger Belastung werden gemacht. Diese Beobachtungen werden dann verallgemeinert, um ein Modell des Werkstoffverhaltens für zusammengesetzte, insbesondere zyklische Belastung zu entwickeln. Diese Verallgemeinerung führt zum Konzept der die Belastungsfläche stets einhüllenden Grenzfläche im Spannungsraum. Ein durch die relative Lage der Belastungsfläche zur Grenzfläche definierter Parameter und die plastische Arbeit während der letzten Belastung bestimmen den Wert des Plastizitätsmoduls.

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Authors and Affiliations

  1. Division of Structural Engineering and Structural Mechanics, University of California, 94720, Berkeley, CA, USA

    Y. F. Dafalias &  E. P. Popov

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  1. Y. F. Dafalias
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  2. E. P. Popov
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Dafalias, Y.F., Popov, E.P. A model of nonlinearly hardening materials for complex loading. Acta Mechanica 21, 173–192 (1975). https://doi.org/10.1007/BF01181053

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