Effective moduli of particulate solids: The completed double layer boundary element method with lubrication approximation

Citation
F. Qi et al., Effective moduli of particulate solids: The completed double layer boundary element method with lubrication approximation, Z ANG MATH, 51(1), 2000, pp. 92-113
Citations number
49
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
51
Issue
1
Year of publication
2000
Pages
92 - 113
Database
ISI
SICI code
0044-2275(200001)51:1<92:EMOPST>2.0.ZU;2-9
Abstract
This paper reports the numerical results of the effective moduli of a compo site consisting of identical rigid spherical inclusions in a homogeneous is otropic elastic medium. The effective moduli are calculated for particles i n simple, body-centered, face-centered cubic lattices, and in a random conf iguration. The numerical technique used is the Completed Double Layer Bound ary Element Method (CDLBEM) augmented by a short-range lubrication approxim ation. The results agree well with previous numerical results obtained by a completely different technique. Agreement with experimental results for pa rticles in random configurations is also observed. Mathematics Subject Clas sification (1991). 73S10.