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The electroelastic 4 $\times$ 4 Green's function of a piezoelectric hexagonal(transversely isotropic) infinitely extended medium is calculated explicitly inclosed compact form (eqs. (73) ff. and (88) ff., respectively) by using residuecalculation. The results can also be derived from Fredholm's method [2]. In thecase of vanishing piezoelectric coupling the derived Green's function coincideswith two well known results: Kr{\"o}ner 's expressions for the elastic Green'sfunction tensor [4] is reproduced and the electric part then coincides with theelectric potential (solution of Poisson equation) which is caused by a unitpoint charge. The obtained electroelastic Green's function is useful for thecalculation of the electroelastic Eshelby tensor [16].

Calculation of the Electroelastic Green's Function of the Hexagonal Infinite Medium