H-measures for splitting particles

Perry H. Leo and Stefan Müller

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Submission date: 03. May. 1999
Pages: 19
published in: Modelling and simulation in materials science and engineering, 7 (1999) 6, p. 939-948 
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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 the 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.