Unsteady Electromagnetic Elasticity of Piezoelectrics Considering Diffusion

Abstract

The paper considers a model of the linear theory of deformation of elastic continuum with diffusion and piezoelectric effect taken into account, which describes the relationship between mechanical deformations, mass transfer, and the internal electric field. A one-dimensional model of electromagnetic diffusion in a rectangular Cartesian coordinate system is used. At the present level, the methods of solving the corresponding initial-boundary value problems based on the application of the integral Laplace transform and decomposition into trigonometric Fourier series are described.Based on the solution of model problems, the effect of the fields coupling on the processes of dynamic deformation are shown. The results of the calculations are presented in analytical form and in the form of graphs.

Keywords

• electromagnetic elasticity
• piezoelectromagnetism
• elastic diffusion
• unsteady problems