Analysis of waves subjected to mechanical force and voids source in an initially stressed magneto-elastic medium with corrugated and impedance boundary

Abstract

The analysis of surface waves in an initially stressed homogeneous magneto-elastic material with voids source, corrugated and impedance boundary conditions influenced by an applied mechanical force on the surface of the material is the hallmark of this investigation. The framework of the study also encompasses the use of normal mode solution approach, non-dimensionalization of the resulting equations of motion and grooved boundary conditions occasioned by the modeled problem. The distribution of the displacement components, normal and shear stresses, volume fraction fields were analytically and graphically presented using Mathematica Software for a particular chosen material which hitherto demonstrates the effects of the contributing physical quantities on the material. The initial stress, voids source, and Mechanical force have remarkable effects to the behavior of the distribution profiles on the material. Increased influences of the magnetic fields decrease the amplitude of the distribution functions whereas impedance parameter induced a mechanical like resistance to the distributions. Thus, this work should prove useful in understanding studies involving seismology. Also, researchers in the fields of Geophysics, Mathematics of waves, Material Sciences, amongst others should be able to find the work helpful.