H-measures for splitting particles

Authors
Citation
Ph. Leo et S. Muller, H-measures for splitting particles, MODEL SIM M, 7(6), 1999, pp. 939-948
Citations number
12
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science","Material Science & Engineering
Journal title
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING
ISSN journal
09650393 → ACNP
Volume
7
Issue
6
Year of publication
1999
Pages
939 - 948
Database
ISI
SICI code
0965-0393(199911)7:6<939:HFSP>2.0.ZU;2-A
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 ene rgy of cuboidal particles, doublers and octets. In the infinite splitting l imit, the elastic energy of particles that split in one spatial dimension ( a sequence of plates) decreases monotonically with particle separation, whi le the elastic energy of particles that split in all three dimensions (a se quence of cubes) exhibits a minimum at a particular interparticle separatio n.