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A Simple Model for Describing Yield Surface Evolution During Plastic Flow

  • Chapter
Deformation and Failure in Metallic Materials

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 10))

Abstract

It has been recognized for a long time that inelastic deformations may induce anisotropy in the material response, even if this is initially isotropic. For metallic materials, deformation induced anisotropy is reflected above all by translation, rotation and distortion of the yield surface. This has been confirmed by several experimental investigations independent of the way the yield point is defined. In the present paper a simple, thermodynamically consistent model is proposed., describing the evolving anisotropy of the yield surface. The model is first theoretically established, based on a sufficient condition for the dissipation inequality to be satisfied. Then, it is applied to predict the subsequent yield surfaces, after various prestressings, which have been observed experimentally by Ishikawa.

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Author information

Authors and Affiliations

  1. Dept. of Mechanics, Faculty of Applied Mathematical and Physical Science, National Technical University of Athens, Zographou, 15780, Greece

    Yannis F. Dafalias

  2. Department of Civil and Environmental Engineering, University of California at Davis, California, 95616, USA

    Yannis F. Dafalias

  3. Institute of Mechanics, Darmstadt University of Technology, Hochschulstrasse 1, D-64289, Darmstadt, Germany

    David Schick & Charalampos Tsakmakis

Authors
  1. Yannis F. Dafalias
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  2. David Schick
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  3. Charalampos Tsakmakis
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Editor information

Editors and Affiliations

  1. Department of Mechanics, Technical University of Darmstadt, Hochschulstr. 1, D-64289, Darmstadt, Germany

    Kolumban Hutter  & Herbert Baaser  & 

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Dafalias, Y.F., Schick, D., Tsakmakis, C. (2003). A Simple Model for Describing Yield Surface Evolution During Plastic Flow. In: Hutter, K., Baaser, H. (eds) Deformation and Failure in Metallic Materials. Lecture Notes in Applied and Computational Mechanics, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36564-8_7

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  • DOI: https://doi.org/10.1007/978-3-540-36564-8_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05649-9

  • Online ISBN: 978-3-540-36564-8

  • eBook Packages: Springer Book Archive

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