A moving crack propagating in a functionally graded magnetoelectroelastic strip under different crack face conditions

Fu, Jiawei; Hu, Keqiang; Zengtao, Chen; Chen, Longmiao; Qian, Linfang

doi:10.1016/j.tafmec.2014.01.007

Cited by 12 publications

(8 citation statements)

References 45 publications

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“…Figure 2 shows the effect of crack velocity on the field intensity factors under the impermeable condition. In this case, excellent agreement is observed with the results reported by Fu et al [24]. Electric displacement and magnetic induction intensity factors are also independent of the velocity of the moving crack [24].…”

Section: The Effect Of Crack Velocity On Field Intensity Factorssupporting

confidence: 91%

“…They obtained the SIFs and electric displacement intensity factors at the crack tips and the energy release rate. Fu et al [24] solved a moving crack in a functionally graded magneto-electro-elastic strip with magnetoelectrically impermeable or permeable conditions under anti-plane mechanical loading and in-plane electric and magnetic loading. They used Fourier transforms to reduce the mixed boundary-value problem into dual integral equations.…”

Section: Introductionmentioning

confidence: 99%

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Stress analysis of a functionally graded magneto-electro-elastic strip with multiple moving cracks

Bagheri

Ayatollahi

Mousavi

2016

Mathematics and Mechanics of Solids

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This paper investigates the linear steady state problem of several moving cracks in a functionally graded magneto-electro-elastic strip subjected to anti-plane mechanical and in-plane electric and magnetic loading. For simplicity, it is assumed that the properties of the strip vary continuously according to exponential functions along the thickness of the functionally graded piezoelectric piezomagnetic (FGPP) layer. By combining the dislocation method and integral transform technique, an exact solution in closed form to this problem is obtained. Electro-magneto-mechanical loads are applied on the crack surfaces, which are assumed to be magneto-electrically impermeable. Numerical examples are presented to show the interesting mechanical and electromagnetic coupling phenomena induced by multi-crack interactions. Finally, the effects of crack velocity, material constants, and geometric parameters upon the field intensity factors are studied. The results are useful for the design of the magneto-electro-elastic structures.

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Section: The Effect Of Crack Velocity On Field Intensity Factorssupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Stress analysis of a functionally graded magneto-electro-elastic strip with multiple moving cracks

Bagheri

Ayatollahi

Mousavi

2016

Mathematics and Mechanics of Solids

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“…Another important issue in dynamic fracture mechanics is the problem of moving cracks, which can be traced back to the work by Yoffe [15] in relation to elastic material and then continued by Willis [16], Atkinson [17] and other pioneering researchers. The moving crack model has also been extended to analyze the fracture behaviors of homogeneous MEE materials [18][19][20][21][22][23] and MEE bimaterials [24][25][26]. Among the various studies, Zhong and Li [24] studied a Yoffe moving crack at the interface of MEE bimaterial based on the limited permeable ME crack-face boundary conditions.…”

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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“…Inclusions and cavities are also important in understanding the mechanical behavior of structures and are studied in several papers, for example, 2D linear elastic materials [14] and antiplane shear cracks [15]. Photoelasticity and finite element methods have also been employed to study the interaction between collinear cracks, and good agreement was found [16].…”

Section: Introductionmentioning

confidence: 99%

“…Hence after solving the singular integral equations (20) and (21) by considering condition (23) and verifying key equation (15) in the region outside of the crack system 0 , the antiplane shear stress ( ) formula in the dimensionless form is obtained.…”

mentioning

confidence: 99%

Determination of the Stress State of a Piecewise Homogeneous Elastic Body with a Row of Cracks on an Interface Surface Subject to Antiplane Strains with Inclusions at the Tips

Pahlaviani

Mkhitaryan

2015

Mathematical Problems in Engineering

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The stress state of a bimaterial elastic body that has a row of cracks on an interface surface is considered. It is subjected to antiplane deformations by uniformly distributed shear forces acting on the horizontal sides of the body. The governing equations of the problem, the stress intensity factors, the deformation of the crack edges, and the shear stresses are derived. The solution of the problem via the Fourier sine series is reduced to the determination of a singular integral equation (SIE) and consequently to a system of linear equations. In the end, the problem is solved in special cases with inclusions. The results of this paper and the previously published results show that the used approach based on the Gauss-Chebyshev quadrature method can be considered as a generalized procedure to solve the collinear crack problems in mode I, II, or III loadings.

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A moving crack propagating in a functionally graded magnetoelectroelastic strip under different crack face conditions

Cited by 12 publications

References 45 publications

Stress analysis of a functionally graded magneto-electro-elastic strip with multiple moving cracks

Stress analysis of a functionally graded magneto-electro-elastic strip with multiple moving cracks

Moving crack with a contact zone at interface of magnetoelectroelastic bimaterial

Determination of the Stress State of a Piecewise Homogeneous Elastic Body with a Row of Cracks on an Interface Surface Subject to Antiplane Strains with Inclusions at the Tips

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