Statistical theory of dislocation

Research output: Chapter in Book/Report/Conference proceedingChapter

1 Citation (Scopus)

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.

Original languageEnglish
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing
Pages87-139
Number of pages53
DOIs
Publication statusPublished - Jan 1 2019

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume587
ISSN (Print)0254-1971
ISSN (Electronic)2309-3706

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ASJC Scopus subject areas

  • Modelling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications

Cite this

Groma, I. (2019). Statistical theory of dislocation. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 87-139). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 587). Springer International Publishing. https://doi.org/10.1007/978-3-319-94186-8_3