RADIAL TIME-DEPENDENT WAVES IN AN ELECTROMAGNETOELASTIC CYLINDRICAL BODY
In the present work is considered a radial time-dependent waves of an infinite cylindrical body. The body material is taken to be isotropic and electromagnetoelastic. Piezoelectric effects are not taken into account. The deformation process is described by a system of equation with respect to a radial deformation of the body points in cylindrical coordinate system. In additional, it takes into account the effect of current density, surface charges, electric and magnetic fields. All parameters and ratios are reduced to dimensionless form. To solve the problem, is used the Laplace transformation of time. Then, the resulting expressions expansion in series in terms of a small parameter. The small parameter characterizes the degree of coherence between elastic properties and electromagnetic field. Explicit formulas was obtained for the coefficients of the expansions of the components of the stress-strain state and the electromagnetic field in the space of Laplace transforms. To move into the space of the originals using the asymptotic representation of the solution in the vicinity of the start time.