### 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 language | English (US) |
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Pages (from-to) | 939-948 |

Number of pages | 10 |

Journal | Modelling and Simulation in Materials Science and Engineering |

Volume | 7 |

Issue number | 6 |

DOIs | |

State | Published - Nov 1 1999 |

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### Cite this

*Modelling and Simulation in Materials Science and Engineering*,

*7*(6), 939-948. https://doi.org/10.1088/0965-0393/7/6/303

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

Research output: Contribution to journal › Article

*Modelling and Simulation in Materials Science and Engineering*, vol. 7, no. 6, pp. 939-948. https://doi.org/10.1088/0965-0393/7/6/303

}

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 -