Seventy years of Hall-Petch, ninety years of superplasticity and a generalized approach to the effect of grain size on flow stress

RB Figueiredo, M Kawasaki, TG Langdon - Progress in Materials Science, 2023 - Elsevier
The grain size, and therefore the grain boundary density, is known to play a major role in the
flow stress of metallic materials. A linear relationship to the inverse of the square root of the …

[HTML][HTML] Deformation mechanisms in ultrafine-grained metals with an emphasis on the Hall–Petch relationship and strain rate sensitivity

RB Figueiredo, TG Langdon - Journal of Materials Research and …, 2021 - Elsevier
Ultrafine-grained materials display almost no strain hardening, an enhanced strain rate
sensitivity and grain boundary offsets during plastic deformation. It is expected that …

Hall–Petch relation and boundary strengthening

N Hansen - Scripta materialia, 2004 - Elsevier
The Hall–Petch relation is discussed separately for the yield stress of undeformed
polycrystalline metals and for the flow stress of deformed metals. Key structural parameters …

A simple dislocation model of deformation resistance of ultrafine-grained materials explaining Hall–Petch strengthening and enhanced strain rate sensitivity

W Blum, XH Zeng - Acta Materialia, 2009 - Elsevier
A model is presented where the properties of ultrafine-grained (UFG) materials are
explained in terms of the influence of high-angle boundaries on the rates at which …

Analytical and computational description of effect of grain size on yield stress of metals

HH Fu, DJ Benson, MA Meyers - Acta materialia, 2001 - Elsevier
Four principal factors contribute to grain-boundary strengthening:(a) the grain boundaries
act as barriers to plastic flow;(b) the grain boundaries act as dislocation sources;(c) elastic …

Hall–petch revisited

G Saada - Materials Science and Engineering: A, 2005 - Elsevier
The necessity to combine analyses of the intragranular plasticity with the effect of the locking
of dislocations close to the grain boundaries is emphasized and shown to describe …

Influence of grain size on the mechanical behaviour of some high strength materials

A Lasalmonie, JL Strudel - Journal of Materials Science, 1986 - Springer
Combining in an additive or synergetic manner the most potent strengthening mechanisms
available in an alloy is the art of the metallurgist. The various models proposed in the …

Inverse Hall–Petch effect and grain boundary sliding controlled flow in nanocrystalline materials

KA Padmanabhan, GP Dinda, H Hahn… - Materials science and …, 2007 - Elsevier
A simplified procedure for an order of magnitude experimental validation of a recently
proposed model for the strain-rate dependent deformation of nanostructured materials is …

On the effect of grain size on yield stress: extension into nanocrystalline domain

DJ Benson, HH Fu, MA Meyers - Materials Science and Engineering: A, 2001 - Elsevier
Four principal factors contribute to grain-boundary strengthening:(a) the grain boundaries
act as barriers to plastic flow;(b) the grain boundaries act as dislocation sources;(c) elastic …

Phase mixture modeling of the strain rate dependent mechanical behavior of nanostructured materials

HS Kim, Y Estrin - Acta Materialia, 2005 - Elsevier
A phase mixture model was employed to simulate the deformation behavior of metallic
materials covering a wide grain size range from micrometer to nanometer scale. In this …