Response of surface effect on plane wave reflection at the boundary of flexomagnetic substrate

The article delves into the reflection of bulk plane waves in a flexomagnetic slab with second-order gradient elasticity. Employing generalized Gurtin-Murdoch surface elasticity, the study provides analytical insights into amplitude ratios and energy flux ratios for reflected bulk waves. The investigation focuses on understanding the behavior and energy conversion of incident bulk waves in the reflected P-SV system, highlighting the influences of residual surface stress, surface elasticity, and flexomagnetic polarization. The outcomes of the study indicate the high amplitude in the presence of residual stress. The findings contribute to fundamental knowledge for nanoscale piezomagnetic structures and potential applications in magnetic acoustic wave devices.