H-measures for splitting particles

Perry H Leo, S. Müller

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The elastic energy of a sequence of splitting particles is computed in the limit of infinite splitting. The calculation combines the mathematical tool of H-measures with a calculation of Khachaturyan et al for the elastic energy of cuboidal particles, doublets and octets. In the infinite splitting limit, the elastic energy of particles that split in one spatial dimension (a sequence of plates) decreases monotonically with particle separation, while the elastic energy of particles that split in all three dimensions (a sequence of cubes) exhibits a minimum at a particular interparticle separation.

Original languageEnglish (US)
Pages (from-to)939-948
Number of pages10
JournalModelling and Simulation in Materials Science and Engineering
Volume7
Issue number6
DOIs
StatePublished - Nov 1 1999

Fingerprint

Energy
energy
octets
Regular hexahedron
Three-dimension
Decrease

Cite this

H-measures for splitting particles. / Leo, Perry H; Müller, S.

In: Modelling and Simulation in Materials Science and Engineering, Vol. 7, No. 6, 01.11.1999, p. 939-948.

Research output: Contribution to journalArticle

@article{96dacb4072a9480197783098911bd242,
title = "H-measures for splitting particles",
abstract = "The elastic energy of a sequence of splitting particles is computed in the limit of infinite splitting. The calculation combines the mathematical tool of H-measures with a calculation of Khachaturyan et al for the elastic energy of cuboidal particles, doublets and octets. In the infinite splitting limit, the elastic energy of particles that split in one spatial dimension (a sequence of plates) decreases monotonically with particle separation, while the elastic energy of particles that split in all three dimensions (a sequence of cubes) exhibits a minimum at a particular interparticle separation.",
author = "Leo, {Perry H} and S. M{\"u}ller",
year = "1999",
month = "11",
day = "1",
doi = "10.1088/0965-0393/7/6/303",
language = "English (US)",
volume = "7",
pages = "939--948",
journal = "Modelling and Simulation in Materials Science and Engineering",
issn = "0965-0393",
publisher = "IOP Publishing Ltd.",
number = "6",

}

TY - JOUR

T1 - H-measures for splitting particles

AU - Leo, Perry H

AU - Müller, S.

PY - 1999/11/1

Y1 - 1999/11/1

N2 - The elastic energy of a sequence of splitting particles is computed in the limit of infinite splitting. The calculation combines the mathematical tool of H-measures with a calculation of Khachaturyan et al for the elastic energy of cuboidal particles, doublets and octets. In the infinite splitting limit, the elastic energy of particles that split in one spatial dimension (a sequence of plates) decreases monotonically with particle separation, while the elastic energy of particles that split in all three dimensions (a sequence of cubes) exhibits a minimum at a particular interparticle separation.

AB - The elastic energy of a sequence of splitting particles is computed in the limit of infinite splitting. The calculation combines the mathematical tool of H-measures with a calculation of Khachaturyan et al for the elastic energy of cuboidal particles, doublets and octets. In the infinite splitting limit, the elastic energy of particles that split in one spatial dimension (a sequence of plates) decreases monotonically with particle separation, while the elastic energy of particles that split in all three dimensions (a sequence of cubes) exhibits a minimum at a particular interparticle separation.

UR - http://www.scopus.com/inward/record.url?scp=0033220915&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033220915&partnerID=8YFLogxK

U2 - 10.1088/0965-0393/7/6/303

DO - 10.1088/0965-0393/7/6/303

M3 - Article

AN - SCOPUS:0033220915

VL - 7

SP - 939

EP - 948

JO - Modelling and Simulation in Materials Science and Engineering

JF - Modelling and Simulation in Materials Science and Engineering

SN - 0965-0393

IS - 6

ER -