Green’s functions and applications

(See Pan, E. (2002): Mindlin problem for an anisotropic piezoelectric half space with general boundary conditions. Proceedings of the Royal Society of London A 458: 181-208.)

 

(1) Half-Space Green’s Functions

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(2) For Quartz Half-Space

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Variations of the normalized electric displacement components Dx and Dz on the surface (z = 0) of the quartz half-spaces due to a negative point electric charge applied at d= (0; 0; 1), for the traction-free insulating (ins, traction-free), traction-free conducting (con, traction-free), rigid insulating (ins, rigid), and rigid conducting (con, rigid) surface conditions.

 

(3) For Ceramic Half-Space

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Variations of the normalized electric displacement components Dx and Dz on the surface (z = 0) of the ceramic half-spaces due to a negative point electric charge applied at d= (0; 0; 1), for the traction-free insulating (ins, traction-free), traction-free conducting (con, traction-free), rigid insulating (ins, rigid), and rigid conducting (con, rigid) surface conditions.