Impact of inertial and nonlinear damping effects on the strain-induced domain wall motion in bilayer composite structure

This article analytically investigates the combined impact of inertial and nonlinear damping (viscous and dry friction) effects on the strain-controlled dynamic features of domain walls in an isotropic, linearly elastic hybrid bilayer piezoelectric-magnetostrictive composite structure. To be precise, we perform the analysis under the one-dimensional inertial Landau–Lifshitz–Gilbert equation, considering the influences of stresses induced by a piezoelectric actuator . By employing the classical traveling wave ansatz, this study explores how various factors, such as magnetostriction , magnetoelasticity, viscous, dry friction , and inertial damping effects , characterize the motion of the magnetic domain walls in both the steady-state and precessional dynamic regimes. The results exhibit valuable insights into how these key parameters can effectively modulate dynamic features such as domain wall width, velocity, mobility, threshold, and Walker breakdown limits. The obtained analytical results are further numerically illustrated for metallic and semiconductor ferromagnet , and a qualitative comparison with recent observations is also presented. • DW width increases when τ decreases and shows weak dependence on piezo-strains and α v . • The traveling wave profile mainly depends on the value of k and weakly depends on τ . • TH, WB limits increase with piezo-strain, and higher α v enlarges the steady-state regime. • Higher velocities can be achieved by tuning the parameters τ , α v , and piezo-strains. • Significantly higher velocity can be achieved in semiconductor FM materials.