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.
Highlights
Magneto-electro-elastic(MEE) composite materials prepared by combining the ferrite and ferroelectric materials
The earlier research work on the fracture in MEE materials was mainly on single crack, while in this paper we have investigated the problem for two collinear cracks in MEE media
Considering the significance of the electric poling and magnetic poling in MEE materials, we propose and investigate the influence of the electric/magnetic poling on two equal collinear cracks in MEE media
Summary
Magneto-electro-elastic(MEE) composite materials prepared by combining the ferrite and ferroelectric materials. This is because of the strain or mechanical deformation caused by the ferrite and ferroelectric phase of the composite It is well-known that a wide range of poled MEE materials retains their aligned electric and magnetic dipole fields in the material microstructure below Curie temperature. Various investigations have demonstrated that the electric/magnetic poling directions incredibly impact crack growth in piezoelectric/MEE media [1,2,3,4,5,6,7,8]. Song and Sih [9] investigated the crack initiation behavior in MEE composite under inplane deformation They found that the magnetostrictive effect could have an influence on crack initiation as the prescribed field directions changed.
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