Representations of the solutions of two-dimensional boundary value problems of coupled electroelasticity (Q1118460)

The existence of special boundary value problems that are split into elementary problems characterized by one boundary condition is proved. The solutions of special boundary value problems are constructed in closed form and this enables them to be used as representations of solutions of other boundary value problems. Such representations result in especially simple systems of integral relations since some of the boundary conditions are taken into account in the representations themselves. Dielectrics with simple anisotropy, and certain classes of rhombic and monoclinic systems for which representations of solutions and integral equations are obtained for certain classical boundary value problems of electroelasticity are considered as examples.