A multilayer approach is developed to solve the moving Hertzian contact problem
involving a circular punch and a functionally graded multiferroic coating. The
mathematical model constructed consists of arbitrary numbers of multiferroic layers
and elastic interlayers, and a half-plane substrate. The formulation is based on wave
equations of plane elastodynamics and Maxwell’s equations. The problem is reduced
to a singular integral equation by applying Galilean and Fourier transformations. The
integral equation is solved numerically through an expansion-collocation technique. A
convergence analysis is performed to determine the number of homogeneous
multiferroic layers required to simulate the behavior of functionally graded coatings.
Presented parametric analyses illustrate the influences of coating type, punch
speed, kinetic friction coefficient, and coating thickness upon contact stresses,
electric displacement, magnetic induction, and the required contact force.
Magnetoelectricity of the system is shown to be significantly coupled with
mechanical parameters such as the kinetic friction coefficient and coating
thickness.
