The effective elastic moduli of a random packing of spheres |
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| Affiliation: | 1. Department of Physics, Akwa Ibom State University, Mkpat Enin, Nigeria;2. School of Geosciences, University of Edinburgh, EH9 3JW, UK;3. British Geological Survey, Murchison House, Edinburgh EH9 3LA, UK;4. CNPC Geophysical Key Laboratory, China University of Petroleum, Beijing, China |
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| Abstract: | ![]()
The effective incremental elastic moduli of a random packing of identical elastic spheres are derived. Although the method of derivation is suitable for any initial deformed configuration that induces compressive forces between any spheres in contact, specific results are given only for the cases in which this corresponds to that of a hydrostatic compression or a uniaxial compression. For additional simplicity it is assumed that the spheres are either infinitely rough or perfectly smooth. |
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