Dynamic eigenstrain behavior of magnetoelastic functionally graded cellular cylinders

The magnetoelastic behavior of heterogeneous thick-walled cylinder with cellular material layers and enduring a dynamic and spatially varying eigenstrain is studied in this paper. The electrically conducting cylinders under plane strain or plane stress condition are subjected to a constant magnetic field. An efficient methodology is developed for the time-harmonic and transient response of multilayered cylinders. The developed methodology is then employed to model the functionally graded cellular cylinders with an arbitrary profile of the relative density distribution via the piecewise homogeneous layer technique. The results are first verified with those available in literature. Then, the effect of relative density, non-homogeneity index, and geometric configuration is examined on the dynamic magnetoelastic response of cylinders containing cellular material layers.