Nm. Khutoryansky et H. Sosa, DYNAMIC REPRESENTATION FORMULAS AND FUNDAMENTAL-SOLUTIONS FOR PIEZOELECTRICITY, International journal of solids and structures, 32(22), 1995, pp. 3307-3325
Representation formulas and fundamental solutions of the governing equ
ations of transient piezoelectricity are obtained through a generaliza
tion of the reciprocal theorem and the plane wave transform method. It
is shown that dynamic fundamental and singular solutions can be reduc
ed to one-dimensional integral expressions by means of a slowness surf
ace. The article provides the necessary mathematical foundations towar
ds the development of the boundary element method for nonstationary, t
hree-dimensional electroelastic problems.