Mode‐I Moving Semi‐Infinite Crack in an Infinitely Long Orthotropic Strip in the Presence of Electromagnetic Field

ABSTRACT This research examines the propagation of a mode‐I semi‐infinite crack with constant velocity in a magnetoelastic orthotropic strip with shear‐free boundaries. The novelty of this work lies in addressing the unexplored plane‐strain problem of crack propagation in a magnetoelastic orthotropic medium, specifically in the presence of electromagnetic field and shear‐free boundary conditions. The mixed boundary value problem is reduced to a Wiener‐Hopf equation by employing the Fourier integral transform method to the convenient boundary conditions. The Wiener‐Hopf equation is then solved for asymptotic cases to obtain the expressions of the stress intensity factor (SIF) and the crack opening displacement (COD) at the vicinity of the crack. The obtained results are demonstrated graphically. The key finding of this research is that the magnetoelastic coupling coefficient plays a critical role in influencing the behavior of dynamic fractures, as illustrated by graphical results. The accuracy and novelty of the findings are validated by comparison with previously published works, highlighting the added value of this research in understanding magnetoelastic effects on crack propagation.