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A theory of plasticity with non-coincident yield and loading surfaces

Eine Plastizitätstheorie mit nicht-übereinstimmenden Fließ- und Belastungsflächen

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Summary

A generalization of the classical plasticity theories which accounts for the observed phenomenon of noncoincident yield and loading surfaces is proposed. Constitutive relations are developed for arbitrary hardening laws and detailed results are presented and applied for isotropically hardening materials.

Zusammenfassung

Eine Verallgemeinerung der klassischen Plastizitätstheorien, die das beobachtete Phänomen der nicht zusammenfallenden Fließ- und Belastungsflächen erklärt, wird vorgelegt. Materialbeziehungen für beliebige Verfestigungsgesetze werden entwickelt. Detaillierte Resultate werden angegeben und auf Stoffe mit isotroper Verfestigung angewendet.

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References

  1. Phillips, A., andR. L. Sierakowski: On the Concept of the Yield Surface. Acta Mech.1, 29 (1965).

    Google Scholar 

  2. Justusson, J.W., andA. Phillips: Stability and Convexity in Plasticity. Acta Mech.2, 251 (1966).

    Google Scholar 

  3. Sachs, G., andS. E. Liu: The Flow and Fracture Characteristics of the Aluminum Alloy 24 ST after Alternating Tension and Compression. Trans. Amer. Inst. of Mining and Metall. Eng.180, 193 (1949).

    Google Scholar 

  4. Lübahn, J. D.: Baushinger Effect in Creep and Tensile Tests on Copper. J. Metals1031 (1955).

  5. Sierakowski, R. L., andA. Phillips: The Effect of Repeated Loading on the Yield Surface. Acta Mech.6, 217 (1969).

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  6. Phillips, A.: Yield Surface of Pure Aluminum at Elevated Temperatures. In: Proceedings IUTAM Symposium on Thermoinelasticity, East Kilbride (Boley, B. A., ed.), Wien-New York: Springer. 1970.

    Google Scholar 

  7. Green, A. E., andP. M. Naghdi: A General Theory of an Elastic-Plastic Continuum. Arch. Rational Mech. and Analysis18, 251 (1965).

    Google Scholar 

  8. Pipkin, A. C., andR. S. Rivlin: Mechanics of Rate-Independent Materials. Z. Angew. Math. Physik16, 313 (1965).

    Google Scholar 

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Authors and Affiliations

  1. Department of Engineering and Applied Science, Yale University, 06520, New Haven, CT, U.S.A

    A. Phillips

  2. Department of Engineering Science and Mechanics, University of Florida, Gainesville, Florida, USA

    M. A. Eisenberg

Authors
  1. M. A. Eisenberg
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  2. A. Phillips
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Eisenberg, M.A., Phillips, A. A theory of plasticity with non-coincident yield and loading surfaces. Acta Mechanica 11, 247–260 (1971). https://doi.org/10.1007/BF01176559

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  • DOI: https://doi.org/10.1007/BF01176559

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