Dynamic fracture analysis of a penny-shaped crack in a magnetoelectroelastic layer

Abstract

This paper analyzes the dynamic magnetoelectroelastic behavior induced by a penny-shaped crack in a magnetoelectroelastic layer subjected to prescribed stress or prescribed displacement at the layer surfaces. Two kinds of crack surface conditions, i.e., magnetoelectrically impermeable and permeable cracks, are adopted. The Laplace and Hankel transform techniques are employed to reduce the problem to Fredholm integral equations. Field intensity factors are obtained and discussed. Numerical results of the crack opening displacement (COD) intensity factors are presented and the effects of magnetoelectromechanical loadings, crack surface conditions and crack configuration on crack propagation and growth are examined. The results indicate that among others, the fracture behaviors of magnetoelectroelastic materials are affected by the sizes and directions of the prescribed magnetic and/or electric fields, and the effects are strongly dependent on the elastic boundary conditions.

Meshless Local Petrov-Galerkin Method for Solving Contact, Impact and Penetration Problems

“…Three-dimensional (3-D) penny-shaped crack problem in magnetoelectroelastic solids under a static load has been analyzed by Zhao et al (2006). Recently, Feng et al (2007) have investigated the transient response of a penny-shaped crack embedded in a magnetoelectroelastic layer of a finite thickness. Coupling of magneto-electro-thermo-elastic fields is investigated in works (Niraula and Wang, 2006;Zhu and T. Qin, 2007).…”

Dynamic response of a cracked magnetoelectroelastic layer sandwiched between two elastic layers

“…Considering the symmetry of the problem about the y-axis, Fourier cosine transform is applied to x-coordinates, and the appropriate solutions of Eqs. (10) and (12) in the Laplace transform domain can be obtained as:…”

“…The dynamic response of a penny-shaped crack in a magnetoelectroelastic layer was investigated by Feng et al [12]. Wang and Mai [13] studied the effect of crack-face electromagnetic boundary conditions on the fracture of magnetoelectroelastic materials.…”

Free vibration analysis of electric-magneto-elastic functionally graded plate with uncertainty

“…Applied in ultrasonic imaging devices, sensors, actuators, transducers and many other emerging components, they have attracted wide and increasing attention to their static and dynamic behaviors in recent decades [1][2][3][4][5][6][7]. However, parameters of the studied electric-magneto-elastic structures used to consider as deterministic ones [8][9][10]. Indeed, it is very difficult to determine accurately the magnetic and electric parameters because errors will arise when they are manufactured or measured, specially the magneto-electric coefficient of mutual induction.…”