The analog equation integral formulation for plane piezoelectric media
In this paper, the two-dimensional piezoelectricity is modelled using a boundary integral formulation based on its corresponding Analog Equation. The problem is transformed into three uncoupled Poisson?s equations with unknown fictitious body forces terms. The multiquadric radial basis function is used to approximate the fictitious body forces in the particular solutions. The problem is solved by satisfying the governing differential operator and the boundary conditions. A scaling process is used to enhance the numerical behaviour of the obtained system of equations. The formulation is mathematically simpler than formerly proposed BEM formulations and its validity, applicability and accuracy are demonstrated through various numerical examples.
piezoelectric media analog equation method boundary element method transversely isotropic