Tensile Strength of Granular Materials

RUMFF 1 has calculated the tensile strength of an ideal granular material; he suggests that: where σ is the tensile strength, B is the interparticle force and D is the diameter of the particles. The ideal material is a completely random pack of equal spheres with the bonding force concentrated at th...

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Bibliographic Details
Published in:Nature (London) 1964-04, Vol.202 (4928), p.168-169
Main Authors: SMALLEY, VALERIE, SMALLEY, I. J
Format: Article
Language:English
Subjects:
Humanities and Social Sciences
letter
multidisciplinary
Science
Science (multidisciplinary)
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Summary:RUMFF 1 has calculated the tensile strength of an ideal granular material; he suggests that: where σ is the tensile strength, B is the interparticle force and D is the diameter of the particles. The ideal material is a completely random pack of equal spheres with the bonding force concentrated at the point of contact. Some of the postulated relationships in the early part of Rumpf's calculation may appear to be dimensionally anomalous, and the strength has been re-calculated to investigate the effect of these anomalies. The whole aggregate has a volume V a ; a thin section of thickness t and volume V s , perpendicular to the tensile stress direction, is considered. The average number of particles contributing to this section: where V p is the mean crossed volume of one particle and ρ is the fractional packing density. The section is very thin and it is assumed that : where A p is the mean crossed area for an average particle. If the cross-sectional area of the whole aggregate is A a : Substitution in equation 4 gives:
ISSN:0028-0836
1476-4687
DOI:10.1038/202168a0