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A Dislocation Based Gradient Plasticity Theory With Applications to Size Effects

[+] Author Affiliations
Rashid K. Abu Al-Rub, George Z. Voyiadjis

Louisiana State University

Paper No. IMECE2005-81384, pp. 69-77; 9 pages
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Applied Mechanics
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Applied Mechanics Division
  • ISBN: 0-7918-4212-6 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME


The intent of this work is to derive a physically motivated mathematical form for the gradient plasticity that can be used to interpret the size effects observed experimentally. This paper addresses a possible, yet simple, link between the Taylor’s model of dislocation hardening and the strain gradient plasticity. Evolution equations for the densities of statistically stored dislocations and geometrically necessary dislocations are used to establish this linkage. The dislocation processes of generation, motion, immobilization, recovery, and annihilation are considered in which the geometric obstacles contribute to the storage of statistical dislocations. As a result a physically sound relation for the material length scale parameter is obtained as a function of the course of plastic deformation, grain size, and a set of macroscopic and microscopic physical parameters. The proposed model gives good predictions of the size effect in micro-bending tests of thin films and micro-torsion tests of thin wires.

Copyright © 2005 by ASME



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