Magnetoelastic Plane Wave Propagation in an Initially Stressed Anisotropic Strip Through Collinear Mode I Griffith Cracks with Punch Loading

An analytical investigation is carried out in this study on magnetoelastic plane wave propagation in an initially stressed anisotropic strip containing two Mode I collinear Griffith cracks and exposed to punch loading. The study explores the interaction of horizontal and vertical prestress components and their impact on fracture behavior in anisotropic materials. The governing equations transform to two coupled singular Cauchy integral equations by using an integral transform. Adopting the theory of elastic fracture under linear assumptions, the problem with an evolving boundary is formulated through a Galilean transformation and analytically solved using the Hilbert transform. Analytical formulations are derived for the crack opening displacement (COD) and associated stress intensity factor (SIF). Numerical and graphical investigations are conducted to reveal the pronounced effects of magnetoelastic coupling, punch pressure, crack length, horizontal and vertical initial stresses, and magnetoelastic plane‐wave‐induced crack velocity on the SIF and COD in anisotropic media. Numerical computations were performed in MATLAB to provide a deeper understanding of the analysis. This study presents a novel analytical investigation of dynamic fracture in prestressed anisotropic magnetoelastic materials, highlighting distinctive moving‐crack SIF and COD behavior, providing insights into structural reliability, fracture evolution, and the durability of materials.