H-measures for splitting particles

被引：1
|
作者：
Leo, PH [1 ]
Müller, S
机构：
[1] Univ Minnesota, Dept Aerosp Engn & Mech, Minneapolis, MN 55455 USA
[2] Max Planck Inst Math Sci, Leipzig, Germany
来源：
MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING | 1999年 / 7卷 / 06期
关键词：
D O I：
10.1088/0965-0393/7/6/303
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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, doublers 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.
引用
收藏
页码：939 / 948
页数：10
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