H-measures for splitting particles

Perry H Leo, S. Müller

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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
Issue number6
StatePublished - Nov 1 1999


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