Magnetoelectroelastic behavior of rotating cylinders resting on an elastic foundation under hygrothermal loading

Abstract

In this paper, the magnetoelectroelastic responses of radially polarized and magnetized hollow and solid magnetoelectroelastic cylinders subjected to hygrothermal loading are obtained by a straightforward analytical method. The transversely isotropic and homogeneous cylinders are embedded with a Winkler-type elastic foundation on the inner and/or outer surfaces. The cylinders are assumed to be infinitely long. To obtain the temperature and moisture concentration distributions within the thicknesses of the cylinders, the steady state, axisymmetric heat conduction and moisture diffusion equations are solved. For uniform temperature and moisture concentration rise, the temperature and moisture dependence of the elastic stiffness coefficients are considered in the analysis. The coupled ordinary differential equations in terms of displacement, electric potential and magnetic potential are solved exactly by the successive decoupling method. Numerical results are shown to clarify the effects of hygrothermal loading, elastic foundation and temperature and moisture dependence of the elastic coefficients on the magnetoelectroelastic behavior of the cylinders. The results for magnetic, electrical and mechanical loadings are verified by those available in the literature.