Two equal collinear cracks in magneto-electro-elastic materials: A study of electric and magnetic poling influences

Abstract

Abstract In this paper, the problem of two equal collinear cracks is analytically studied for two-dimensional (2D) arbitrarily polarized magneto-electro-elastic materials. The electric and magnetic poling directions make arbitrary angles with the crack line. The Stroh's formalism and complex variable methodology is utilized to reduce the problem into non-homogeneous Riemann Hilbert problem. This numerical problem is then comprehended with the Riemann Hilbert way to obtain the intensity factors for stress, electric displacement and magnetic induction. A numerical contextual analysis is displayed for the BaTiO 3 – CoFe 2 O 4 composite. The numerical examination demonstrates that the change in electric/magnetic poling directions influences the intensity factors.