This paper introduces an innovative contact model utilizing the hybrid element method to investigate the three-dimensional time-dependent contact problem of a rigid spherical punch sliding on magnetoelectric polymer matrix composite films. Frequency response functions are derived by replacing the corresponding elastic Green’s function with time-dependent relaxation functions via the elastic/viscoelastic correspondence. Highly efficient iterative solutions of the transient contact response are realized by using the conjugate gradient method and discrete convolution-fast Fourier transform algorithm. The present model is verified by comparisons with the literature. Parametric analysis is performed to investigate the influence of the sliding velocity, film thickness, contact time, and friction coefficient on interaction mechanisms by analyzing transient contact behaviors of the material. The proposed contact model provides a theoretical foundation for the thickness optimization, friction control, and electromagnetic output stability of magnetoelectric composite films.
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