Transient response of the crack-tip field in a magnetoelectroelastic half-space with a functionally graded coating under impacts

Peng, Xingxing; Li, Xian-Fang

doi:10.1007/s00419-008-0277-7

Cited by 17 publications

(3 citation statements)

References 18 publications

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“…0 when the crack is electromagnetically impermeable and vacuum. While the dynamic COD intensity factors are always greater than zero irrespective of the crack being impermeable, vacuum or permeable, implying that the COD intensity factor is more suitable to be a fracture criterion than the stress intensity factor for the dynamic crack growth of magnetoelectroelastic material Peng and Li, 2009). As expected, the dynamic COD intensity factor near the inner crack tip is larger than that near the outer crack tip, meaning that the inner crack tip is easier to grow than the outer crack tip.…”

Section: Numerical Results and Discussionmentioning

confidence: 98%

Transient response of a magnetoelectroelastic solid with two collinear dielectric cracks under impacts

Zhong

Liu

2009

International Journal of Solids and Structures

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a b s t r a c tDynamic analysis of two collinear electro-magnetically dielectric cracks in a piezoelectromagnetic material is made under in-plane magneto-electro-mechanical impacts. Generalized semi-permeable crackface boundary conditions are proposed to simulate realistic opening cracks with dielectric. Ideal boundary conditions of a combination of electrically permeable or impermeable and magnetically permeable or impermeable assumptions are several limiting cases of the semi-permeable dielectric crack. Utilizing the Laplace and Fourier transforms, the mixed initial-boundary-value problem is reduced to solving singular integral equations with Cauchy kernel. Dynamic intensity factors of stress, electric displacement, magnetic induction and crack opening displacement (COD) near the inner and outer crack tips are determined in the Laplace transform domain. Numerical results for a special magnetoelectroelastic solid are calculated to show the influences of the dielectric permittivity and magnetic permeability inside the cracks on the crack-face electric displacement and magnetic induction. By means of a numerical inversion of the Laplace transform, the variations of the normalized intensity factors of stress and COD are discussed against applied magnetoelectric impact loadings and the geometry of the cracks for fully impermeable, vacuum, fully permeable cracks and shown in graphics.

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Section: Numerical Results and Discussionmentioning

confidence: 98%

Transient response of a magnetoelectroelastic solid with two collinear dielectric cracks under impacts

Zhong

Liu

2009

International Journal of Solids and Structures

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“…The transient problem of a magnetoelectro-elastic half-space with a functionally graded coating containing interfacial crack under sudden impacts loads was considered by Peng and Li. 6 They reported that the effects of the gradient index strongly depend on the position of impact loading. Feng et al 7 studied the transient response of an interfacial crack between two dissimilar magneto-electro-elastic layers under impact loadings.…”

Section: Introductionmentioning

confidence: 99%

Dynamic response of cracked non‐homogeneous magneto‐electro‐elastic layer sandwiched by two dissimilar orthotropic layers

Arhani

Ayatollahi

2022

Fatigue Fract Eng Mat Struct

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This paper is concerned with the transient response of cracked functionally graded magneto-electro-elastic layer (FGMEE) bonded between dissimilar orthotropic layers under impacts. Fourier and Laplace transforms are employed to obtain the analytical solution of a dynamic magneto-electroelastic dislocation with time-dependent Burgers' vector at the FGMEE layer. Expressions for stress, electric displacement, and magnetic inductions in the vicinity of the magneto-electro-elastic dislocation are derived. The solutions are used to derive singular integral equations for the FGMEE layer containing multiple cracks. Then, the integral equations are solved numerically for the density of dislocations on a crack surface by converting them to a system of linear algebraic equations. Finally, a numerical Laplace inversion algorithm is employed to determine the dynamic stress intensity factor. Numerical examples demonstrate the effects of the non-homogeneity parameter of the FGMEE layer, applied electric and magnetic loads, and the crack geometry on the dynamic stress intensity. This solution can be used as a Green's function to solve transient problems involving multiple cracks in a functionally graded magneto-electro-elastic layer.

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“…One of the most important topics in dynamic fracture mechanics is examining transient response. The transient response of anti-plane cracks at the interface of MEE material was first investigated by researchers who used Laplace-and Fouriertransforms [6][7][8][9][10]. As for the problem of plane cracks at the interface, Zhong et al [11] studied the transient response of two limited permeable collinear cracks in a homogeneous MEE body under impact loadings.…”

Section: Introductionmentioning

confidence: 99%

Moving crack with a contact zone at interface of magnetoelectroelastic bimaterial

Feng

2017

Engineering Fracture Mechanics

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The plane-strain problem of a moving crack at the interface of two dissimilar magnetoelectroelastic (MEE) materials is investigated. Assuming that the crack moves at a constant speed in the subsonic regime, a fracture analysis of a finite crack under concentrated loading imposed onto the crack face is first carried out. By applying magnetoelectric (ME) permeable boundary conditions at the crack face, a combined Dirichlet-Riemann problem is formulated and solved analytically. The expressions for the fracture parameters, including the relative length of the contact zone and field intensity factors (FIFs), are obtained in the analytical form. A crack of a semi-infinite length with a contact zone under concentrated loading is further presented as a specific case examined with the obtained solution. Then a moving crack of finite length at the interface under remote mix-mode loading is also analyzed and the corresponding fracture parameters are presented in an analytical form. Finally, numerical examples are provided for the material combination of barium titanate-cobalt ferrite composites to examine the influence of the speed of the moving crack, poling direction, material volume fraction, load position and

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Transient response of the crack-tip field in a magnetoelectroelastic half-space with a functionally graded coating under impacts

Cited by 17 publications

References 18 publications

Transient response of a magnetoelectroelastic solid with two collinear dielectric cracks under impacts

Transient response of a magnetoelectroelastic solid with two collinear dielectric cracks under impacts

Dynamic response of cracked non‐homogeneous magneto‐electro‐elastic layer sandwiched by two dissimilar orthotropic layers

Moving crack with a contact zone at interface of magnetoelectroelastic bimaterial

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