||CMC: Computers, Materials & Continua, Vol. 43, No. 2, pp. 87-95, 2014
||Full length paper in PDF format. Size = 134,017 bytes
||Isotropic lattice Green functions, tetragonal lattice Green functions,
face-centered cubic lattice, body-centered cubic lattice, simple cubic lattice.
||In this paper, we propose an efficient method to calculate the isotropic
and tetragonal lattice Green functions for the face-centered cubic (FCC), bodycentered
cubic (BCC) and simple cubic (SC) lattices. The method is based on
binomial expansion theorems, which provide us with analytical formulae through
basic integrals. The resulting series present better convergence rates. Several acceleration
techniques are combined to further improve the efficiency of the established
formulas. The obtained results for the lattice Green functions are in good agreement
with the known numerical calculation results.