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A finite elastic-plastic theory and invariance requirements

Eine elastisch-plastische Theorie und Invarianzbedingungen

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Summary

A mechanical theory of a finite elastic-plastic material is presented as a special type of the more general simple material with memory. Thus, the concepts of invariance used in the theory of simple materials are applied to the special case to derive explicit forms for the various constitutive equations. The theory and the interpretation differ from previous theories byGreen andNaghdi and byLee andLiu. Some comments byGreen andNaghdi regarding the correctness of the theory ofLee andLiu are clarified by the present approach.

Zusammenfassung

Eine mechanische Theorie eines elastisch-plastischen Werkstoffes wird dargestellt, als Spezialfall eines allgemeineren einfachen Werkstoffes mit Gedächtnis. Daher werden die in der Theorie einfacher Werkstoffe verwendeten Invarianzbegriffe zur Herleitung expliziter Darstellungen verschiedener Werkstoffgleichungen dieses Spezialfalles verwendet. Theorie und Interpretation unterscheiden sich von vorangegangenen Theorien vonGreen undNaghdi und vonLee andLiu. Einige Bemerkungen vonGreen undNaghdi bezüglich der Richtigkeit der Theorie vonLee undLiu werden durch diese Betrachtung geklärt.

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References

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Authors and Affiliations

  1. Department of Aeronautics and Astronautics, University of Washington, 98195, Seattle, WA, USA

    K. A. Holsapple

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  1. K. A. Holsapple
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Holsapple, K.A. A finite elastic-plastic theory and invariance requirements. Acta Mechanica 17, 277–290 (1973). https://doi.org/10.1007/BF01183761

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  • DOI: https://doi.org/10.1007/BF01183761

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