iMechanica - eigenstrain - Comments

Two Minor Points

Ajit R. Jadhav — Sat, 19 Jul 2008 14:03:04 -0400

Guru,

1. You wrote:

...more specifically, either the cube edge direction or the diagonal direction is elastically softer as compared to the other; that is, for a given force, the atoms in the softer direction are relatively more pliable.

I would think that the direction in which the atomic density were greater would have to be elastically stiffer. Right?

(BTW, a bit about the wording: Soft/Hard is better kept for permanent deformation, not the recoverable i.e. elastic ones. Another thing. It isn't that the atoms themselves would themselves become more or less pliable; at the most, it would be that the electron cloud or gas offer a smaller or a greater resistance. The curvature at the bottom of the "pit" in the energy-distance graph would be greater or smaller, respectively.)

2. For an article of this nature, diagrams showing Eshelby's steps would be very much appreciated---indeed, they would be necessary. Please see if you (or anyone else) can supply FEM simulations (complete with the color-coded changes in the surrounding fields) for those steps; that would be very helpful to the reader.

Thanks for the pointers!

Mogadalai Gururajan — Sat, 19 Jul 2008 00:31:02 -0400

Dear Mike/Pradeep,

Thanks for the pointers; Yes; Collected works is in my wish list (though I do not see myself being able to afford a personal copy anytime soon).

Pradeep:

I agree with you; his pedagogical paper on obtaining elast fields of dislocations is one that I enjoyed a lot in the recent past. And, I think he also sets us a nice standard in terms of making our works accessible to all -- be it geologists, mechanicians, physicists or materials engineers.

Guru

good idea...

Pradeep Sharma — Fri, 18 Jul 2008 08:13:30 -0400

Mogadalai,

This carnival is a neat idea....thanks for the link. I enjoyed reading your post as well. Buying the collected works of Eshelby (expensive as it is) was the best investment I have made as far research is concerned. Some of his "lesser known" works, in my opinion, are also quite enjoyable. It used to be a constant source surprise to me that Eshelby is so well known in the condensed matter physics community as well----A good example of a mechanician who has cut cross so many disciplines.

Do you know that there is collected work of Eshelby ?

Mike Ciavarella — Fri, 18 Jul 2008 02:00:48 -0400

I know it is a little expensive.....

Collected Works of J. D. Eshelby
The Mechanics of Defects and Inhomogeneities
Series:
Solid Mechanics and Its Applications
, Vol. 133

Markenscoff, Xanthippi; Gupta, Anurag (Eds.)

2006, XL, 940 p., Hardcover

ISBN: 978-1-4020-4416-8

Online orders shipping within 2-3 days

205,67 €

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About this book

Table of contents

Reviews

About this book

J.D. Eshelby's work has shaped the fields
of defect mechanics and micromechanics of inhomogeneous solids in the
last fifty years and provides the basis for the quantitative analysis
of the controlling mechanisms of plastic deformation and fracture.
Bringing fundamental concepts from physics into the analysis of the
micromechanisms of deformation in solids, including the interaction of
lattice defects and cracks, microcracks, with other defects,
inhomogeneities etc., Eshelby provided the conceptual framework for the
fundamental physical understanding and the corresponding analytical
treatment of the complex interactions at the micro-level responsible
for the mechanical properties at the continuum scale. Eshelby's work
cut across disciplines and unified fields previously disjoint, such as
materials science, fracture mechanics, plasticity, and composite
materials. His paper on the ellipsoidal inclusion is the most cited in
solid mechanics, and many of his papers are highly cited. In this
volume we present the Collected Works of Eshelby unabridged as well as
forewords by D.M. Barnett (Stanford Unviversity), B. Bilby (Sheffield),
A. Seeger (Stuttgart), and J.R. Willis (Cambridge University) as to the
impact of Eshelby's work on their own and the field.

Written for:

Researchers, graduate students in Solid Mechanics, Materials Science and Solid State Physics