Micropolar crystal plasticity

J. R. Mayeur, D. L. McDowell, Samuel Forest

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations

Abstract

This chapter considers advances over the past 15 years achieved by the authors and coworkers on generalized crystal plasticity to address size and configuration effects in dislocation plasticity at the micron scale. The specific approaches addressed here focus on micropolar and micromorphic theories rather than adopting strain gradient theory as the starting point, as motivated by the pioneering ideas of Eringen (Eringen and Suhubi 1964; Eringen and Claus Jr 1969; Eringen 1999). It is demonstrated with examples that for isotropic elasticity and specific sets of slip systems, a dislocation-based formulation of micropolar or micromorphic type provides results comparable to discrete dislocation dynamics and has much in common with the structure of Gurtin's slip gradient theory (Gurtin 2002; Gurtin et al. 2007).

Original languageEnglish
Title of host publicationHandbook of Nonlocal Continuum Mechanics for Materials and Structures
PublisherSpringer International Publishing
Pages595-642
Number of pages48
ISBN (Electronic)9783319587295
ISBN (Print)9783319587271
DOIs
StatePublished - Jan 10 2019
Externally publishedYes

Keywords

  • Crystal plasticity
  • Finite elements
  • GNDs
  • Micropolar
  • Strain gradient

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