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Theory of solitary plastic waves

Part I: Lüders bands in polycrystals

  • Synergetic Ordering In Solids (Part II)
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Abstract

A dislocation dynamical model of the reaction-diffusion type is used to describe the spatio-temporal dynamics of Lüders band propagation in polycrystals. The diffusive nature of dislocation glide is traced back to the random crystallographic orientation of the active slip systems. The role of pile-ups in dislocation multiplication is accounted for by a dynamical generalization of the Hall-Petch law. It is argued that Lüders bands in polycrystals are related to a bistable dynamics of mobile dislocations. Further results obtained cover the dependences on material parameters and deformation conditions of (1) the occurrence, (2) the strain, propagation velocity and width of Lüders bands, and (3) the upper and lower yield stresses. These results are in good agreement with experimental findings.

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Authors and Affiliations

  1. Institut für Physik, Max-Planck-Institut für Metallforschung, Heisenbergstr. 1, D-70569, Stuttgart, Germany

    P. Hähner

  2. Institute for Advanced Materials, Joint Research Centre, Ispra Establishment, Commission of the European Communities, I-21020, Ispra (Varese), Italy

    P. Hähner

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Hähner, P. Theory of solitary plastic waves. Appl. Phys. A 58, 41–48 (1994). https://doi.org/10.1007/BF00331515

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  • DOI: https://doi.org/10.1007/BF00331515

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