Diffraction of Magnetoelastic Plane Waves through a Rigid Strip in an Orthotropic Medium: An Analytical Approach

Abstract

The present study provides the analytical solution for magnetoelastic plane-wave diffraction by a rigid strip in an infinite orthotropic medium. The mathematical formulation of the considered model involves a mixed boundary value problem, which is solved by using the integral equation method. The contour integration technique has been used to establish the closed-form expressions of vertical diffracted displacement and normal stress. The deduced expressions of the vertical diffracted displacement and normal stress are matched with preestablished result through the special cases and serves the validation of the present study. The pattern of the diffracted displacement component in the considered medium, and its varying behavior with various affecting parameters, i.e., magnetoelastic coupling parameter, wave number, phase velocity of the propagating magnetoelastic wave, and distance, are computed numerically and delineated by means of graphical representation for orthotropic and isotropic materials. Moreover, the impact of anisotropy of the infinite medium has been unrevealed through comparative study, which is one of the achievements of the present work. The diffraction of longitudinal magnetoelastic plane waves through a rigid strip in an orthotropic material holds significant applications across diverse engineering fields. In nondestructive testing (NDT), the understanding of wave diffraction patterns aids in the detection and characterization of defects or structural changes in orthotropic materials without causing damage. This knowledge is vital for structural health monitoring (SHM), allowing for the timely identification of damage, cracks, or alterations in material properties. Moreover, the insights gained from wave diffraction contribute to the design and optimization of magnetoelastic devices, including sensors, actuators, and transducers, enhancing their performance and sensitivity. In the realm of communication, the propagation of magnetoelastic waves through rigid strips in orthotropic materials is instrumental in designing efficient waveguides and communication devices. Additionally, the study of wave diffraction facilitates the development of magnetostrictive components for applications in robotics, medical devices, and automotive systems. Furthermore, the unique acoustic properties of orthotropic materials, influenced by magnetoelastic wave diffraction, contribute to the design and optimization of acoustic devices such as speakers and ultrasonic transducers.