The Inverse Hall-Petch Problem


The book Mechanochromism references 325 original resources and includes their direct web link for in-depth reading.


The Inverse Hall-Petch Problem
David. J. Fisher
Materials Research Foundations Vol. 55
Publication Date 2019, 152 Pages
Print ISBN 978-1-64490-034-5 (release date August 20th, 2019)
ePDF ISBN 978-1-64490-035-2
DOI: 10.21741/9781644900352

The book reviews the Hall-Petch law, one of the most useful equations of materials science, and the reverse or inverse Hall-Petch relation, which is particular important for controlling the strength of nanocrystalline materials. Theoretical models, experimental data and practical aspects are discussed, making reference to a total of 396 original resources with their direct web link for in-depth reading.

Hall-Petch Law, Reverse or Inverse Hall-Petch Relation, Nanocrystalline Materials, Grain Size and Strength of Materials, Dislocation-based Models, Diffusion-Based Models for the Hall-Petch Relation, Grain-Boundary-Shearing Models, Two-Phase Models for the Hall-Petch Effect, Grain Boundary Structure, Dislocations and Grain Boundaries, Non-Equilibrium Grain-Boundary Structure


Table of Content
Introduction 5
The Normal Hall-Petch Effect 5
Iron 6
Chromium 12
Tantalum 13
Vanadium 13
Niobium 13
Cobalt 14
Titanium 14
Zirconium 16
Zinc 17
Gold 18
Silver 20
Platinum 22
Aluminium 23
Copper 28
Nickel 34
Inverse Hall-Petch Effect 42
Theoretical Models 43
The Ubiquity of the Inverse Hall-Petch Law 65
Gold 65
Silver 66
Palladium 66
Aluminium 67
Copper 75
Nickel 87
Zinc 107
Magnesium 107
Titanium 108
Zirconium 110
Cobalt 111
Manganese 111
Niobium 112
Tantalum 112
Tungsten 114
Iron 114
A Possible Solution 120
References 126


About the author

Dr Fisher has wide knowledge and experience of the fields of engineering, metallurgy and solid-state physics, beginning with work at Rolls-Royce Aero Engines on turbine-blade research, related to the Concord supersonic passenger-aircraft project, which led to a BSc degree (1971) from the University of Wales. This was followed by theoretical and experimental work on the directional solidification of eutectic alloys having the ultimate aim of developing composite turbine blades. This work led to a doctoral degree (1978) from the Swiss Federal Institute of Technology (Lausanne). He then acted for many years as an editor of various academic journals, in particular Defect and Diffusion Forum. In recent years he has specialised in writing monographs which introduce readers to the most rapidly developing ideas in the fields of engineering, metallurgy and solid-state physics. His latest paper will appear shortly in International Materials Reviews, and he is co-author of the widely-cited student textbook, Fundamentals of Solidification.