Stress Functions for Elastic Dielectrics

Beltrami‐type representations are constructed for the stress tensor, the polarization vector, and the electric tensor for Mindlin's theory of elastic dielectrics including polarization gradient effects. Using these representations and the linear compatibility conditions, stress boundary value problems of linear elastic dielectrics are formulated. This formulation is applied to one and two dimensional problems of dielectric half spaces and the results obtained therefrom are compared with corresponding solutions available in the literature [1,2].