T. Michelitsch, CALCULATION OF THE ELECTROELASTIC GREENS-FUNCTION OF THE HEXAGONAL INFINITE MEDIUM, Zeitschrift fur Physik. B, Condensed matter, 104(3), 1997, pp. 497-503
The electroelastic 4 x 4 Green's function of a piezoelectric hexagonal
(transversely isotropic) infinitely extended medium is calculated exp
licitly in closed compact form ((73) ff. and (88) ff., respectively) b
y using residue calculation. The results can also be derived from Fred
holm's method [2]. In the case of vanishing piezoelectric coupling the
derived Green's function coincides with two well known results: Krone
r's expressions for the elastic Green's function tensor [4] is reprodu
ced and the electric part then coincides with the electric potential (
solution of Poisson equation) which is caused by a unit point charge.
The obtained electroelastic Green's function is useful for the calcula
tion of the electroelastic Eshelby tensor [16].