Coupled analysis in magneto-electro-elastic material for moving semipermeable crack based on EMPS model using singular integral equation

Abstract

This manuscript presents a moving semipermeable crack based on an electric-magnetic-polarization saturation (EMPS) model in magneto-electro-elastic (MEE) materials using the singular integral equation method. Propagation velocity-dependent a system of singular integral equations has been developed based on the EMPS model. Analytical solutions of developed singular integral equations and other fracture parameters are presented in this manuscript. Electric and magnetic semipermeable crack face boundary conditions have also been implemented at the center of the crack based on closed-form solutions with the help of an iterative method. Electric displacement, magnetic induction at the center of the crack, electric and magnetic zone lengths, and local stress intensity factors have been studied with respect to electric, magnetic, and mechanical loading for different propagation velocities. The final reveal is that electric displacement at crack surfaces has a miner effect with respect to magnetic loading. In contrast, electric displacement increases as electric loading increases and decreases as mechanical loading increases for all propagation velocities. Moreover, Normalized electric zone length and crack tip opening potential (CTOP) have a miner effect with respect to magnetic loading, while significantly affected with respect to electric and mechanical loading.