Fundamental solutions for transversely isotropic magnetoelectro-elastic media and boundary integral formulation

Green's functions for two-phase transversely isotropic magneto-electro-elastic media

“…In the case of distinct eigenvalues, Ding and Jiang [21] derived the closed-form 2D general solution for an infinite magneto-electro-elastic plane. Ding and Jiang [22] studied the closed-form 3D general solution of infinite transversely isotropic magneto-electro-elastic solid. Jiang and Ding [23] obtained Green's functions for point forces, point charge and point current acting in the interior of an infinite magneto-electro-elastic half-plane.…”

“…Jiang and Ding [23] obtained Green's functions for point forces, point charge and point current acting in the interior of an infinite magneto-electro-elastic half-plane. The derivation of the fundamental solutions [21][22][23] was based on the general solutions proposed by Ding and Jiang [21] for 2D problems and by Ding and Jiang [22] for 3D problems, respectively, and a trial-and-error method was employed. Boundary element formulations have also been developed for 2D as well as 3D magneto-electro-elastic materials [21][22][23].…”

“…The derivation of the fundamental solutions [21][22][23] was based on the general solutions proposed by Ding and Jiang [21] for 2D problems and by Ding and Jiang [22] for 3D problems, respectively, and a trial-and-error method was employed. Boundary element formulations have also been developed for 2D as well as 3D magneto-electro-elastic materials [21][22][23]. Jiang and Ding [24] obtained the analytical solutions to various 2D magneto-electro-elastic problems with the general solution in the case of distinct eigenvalues in terms of harmonic displacement functions.…”

Study on the Interface Effects Based on Two-Dimensional Green's Functions for the Fluid and Pyroelectric Two-Phase Plane under a Line Heat Source

“…Dunn [30] gave Green's function of infinite piezoelectric material by using Radon transformation. Ding et al [31] and Dunn and Wienecke [31] obtained Green's functions for the infinite, semi-infinite, and two-phase piezoelectric material in terms of elementary functions, which were employed to study the inclusion problem [32].…”

Three-dimensional Green’s functions for a fluid and pyroelectric two-phase material

“…Dunn [33] gave the Green' function of infinite piezoelectric material by using Radon transform, coordinate transformation, and evaluation of residues in sequence. Ding et al [34,35], Dunn and Wienecke [36,37] obtained the Green's functions for the infinite, semi-infinite and two-phase piezoelectric material in terms of elementary functions, which were employed to study the inclusion problem [38].…”