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Statistical Theory of Dislocation

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Mesoscale Models

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 587))

Abstract

The plastic deformation of materials are traditionally modeled by phenomenological crystal plasticity continuum theories. There are, however, several phenomena, like deformation size effect, hardening due to grain boundary, dislocation patter formation that cannot be described within this framework. One has to take into account that the stress-strain response of crystalline materials is determined by the collective motion of dislocations. The aim of the present chapter is to introduce a continuum theory of dislocation obtained by a systematic coarse-graining of the evolution equation of individual dislocations.

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Acknowledgements

During the past years the author had the pleasure to work with Michael Zaiser, Erik van der Giessen, Géza Györgyi, Alphonse Finel, Botond Bakó, Ferenc Csikor, and Serge Yefimov. Most of the results presented in the paper were obtained together with them. Their outstanding scientific contributions and friendships are gratefully acknowledged.

Financial supports of the National Research, Development and Innovation Found of Hungary under contract number NKFIH-K-119561 is also acknowledged.

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Authors and Affiliations

  1. Department of Materials Physics, ELTE, Eötvös Loránd University, Budapest, Hungary

    István Groma

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  1. István Groma
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Correspondence to István Groma .

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Editors and Affiliations

  1. Department of Mechanical and Materials Engineering, Washington State University, Pullman, WA, USA

    Sinisa Mesarovic

  2. Centre des Matériaux, Mines ParisTech, Evry, France

    Samuel Forest

  3. Department of Mechanical and Materials Engineering, Washington State University, Pullman, WA, USA

    Hussein Zbib

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Groma, I. (2019). Statistical Theory of Dislocation. In: Mesarovic, S., Forest, S., Zbib, H. (eds) Mesoscale Models. CISM International Centre for Mechanical Sciences, vol 587. Springer, Cham. https://doi.org/10.1007/978-3-319-94186-8_3

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  • DOI: https://doi.org/10.1007/978-3-319-94186-8_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-94185-1

  • Online ISBN: 978-3-319-94186-8

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