Fracture analysis of an electrically conductive interface crack with a contact zone in a magnetoelectroelastic bimaterial system

Abstract

a b s t r a c tAn electrically conductive interface crack with a contact zone in a magnetoelectroelastic (MEE) bimaterial system is considered. The bimaterial is polarized in the direction orthogonal to the crack faces and is loaded by remote tension and shear forces as well as electrical and magnetic fields parallel to the crack faces. It is assumed that the electrical field inside the crack faces is equal to zero and the magnetic quantities are continuous across the crack faces. Using special expressions of magnetoelectromechanical quantities via sectionally-analytic functions proposed in this paper, a combined Dirichlet-Riemann and Hilbert boundary value problem is formulated and solved analytically. Explicit analytical expressions for the characteristic mechanical, electrical and magnetic parameters are presented. A simple transcendental equation is derived for the determination of the contact zone length. Stress, electric field and magnetic field intensity factors and the contact zone length are found for various loading cases. A significant influence of the electric field on the contact zone length, stress and electric field intensity factors is observed. Magnetoelectrically permeable conditions in the crack region are also investigated and comparisons of different crack models are performed. Results presented in this paper should have potential applications to the design of multilayered magnetoelectroelastic (MEE) structures and devices.

A novel size independent symplectic analytical singular element for inclined crack terminating at bimaterial interface

“…The symplectic approach is employed in this study to solve the eigen solution of the complex inclined interface crack. By introducing the generalized coordinate ln r   (8) and the generalized stress components , ,…”

“…The cracks can propagate, accumulate and significantly reduce the load bearing capacity of the structure in terms of fracture failure. Perhaps due to the mathematical complexities in formulating the interface crack, most of the existing studies in literature focused on a special case where the crack is along the interface of the two materials [1,2,3,4,5,6,7,8,9] .…”

Generalized screw dislocations interacting with interfacial secondary crack in magneto‐electro‐elastic solid

“…Interfacial defects, typically interfacial cracks and interfacial rigid line (a mathematical model used in solid mechanics to describe narrow hard phase, which can be produced in the interface due to the chemical aliquation, aging and corrosion), are inevitable in manufacturing and using. A large number of researchers have focused on dislocation, cavity, crack and interfacial crack . The interaction of multiple defects has been further studied.…”

“…A large number of researchers have focused on dislocation, [7,8] cavity, [9,10] crack [11][12][13][14][15][16][17][18][19][20] and interfacial crack. [21][22][23][24][25][26][27][28][29] The interaction of multiple defects has been further studied. Zhou et al [30] studied the problem of two symmetric interface cracks between two dissimilar magnetoelectro-elastic composite.…”

A symplectic analytical singular element for the inclined crack terminating at the material interface of composite structures

“…However, the strength of composite material is still facing with challenges where extensive material interfaces exist. Cracks may initiate from, propagate along or terminate at these interfaces [1,2,3,4]. This study investigates a typical case where crack is terminating at the material interface, to provide an effective tool for numerical modelling.…”