Electric and magnetic poling effects on two equal collinear semi‐permeable cracks in magneto‐electro‐elastic materials

Abstract

In this paper, the problem of two equal collinear semi‐permeable cracks is analytically studied for two‐dimensional arbitrarily polarized magneto‐electro‐elastic materials. The electric and magnetic poling directions make arbitrary angles with the crack line. Stroh's formalism and complex variable methodology are 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 stress, electric displacement, and magnetic induction components at any point in the domain. The explicit expressions for the crack opening displacement, crack opening potential drop, crack opening induction drop, and the intensity factors are derived. A numerical contextual analysis is displayed for the BaTiO3−CoFe2O4 composite. The numerical examination demonstrates that the change in electric/magnetic poling directions influences the different crack parameters.

Fracture analysis of circular hole edge arbitrary position crack with surface effects in magnetoelectroelastic materials

“…Many scholars have carried out extensive and in-depth research on macroscopic defects in MEE materials. Recent research results are as follows: Tupholme [5,6] has studied the fracture analysis of the general point of deformation of MEE materials caused by shear cracks Jangid [7] studied the problem of two isocolinear semi-permeable cracks in two-dimensional arbitrarily polarized MEE materials. Yang et al [8] studied the anti-plane problem of four cracks emanating from of elliptical holes in MEE materials.…”

Interaction integral approach for the Evaluation of Crack-front Singularities in a Solid Cantilever Beam under Magneto-Electro-Elastic loading using XFEM

“…The strain induces an electric field, which triggers the magnetic field. Similarly, the applied magnetic field also induces electric fields (Jangid, 2020). This is due to the change in the ferrite and the ferroelectric phase of the composite, producing the strain or the mechanical deformation.…”