Crack initiation behavior in magnetoelectroelastic composite under in-plane deformation

Song, Zhongxiao; Sih, G. C.

doi:10.1016/s0167-8442(03)00002-8

Cited by 174 publications

(98 citation statements)

References 12 publications

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“…arising during their manufacturing process. Therefore, it is of great importance to study the magneto-electro-elastic interaction and fracture behavior of magneto-electro-elastic composites (2), (3) .…”

Section: Introductionmentioning

confidence: 99%

A Closed Form Solution of a Crack in Magneto-Electro-Elastic Composites under Anti-Plane Shear Stress Loading

Zhou

Wang

2005

JSME Int. J., Ser. A

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In this paper, a closed form solution of a crack in magneto-electro-elastic composites under anti-plane shear stress loading is obtained for the permeable crack surface conditions. By using the Fourier transform technique, the problem can be solved with a pair of dual integral equations in which the unknown variable is the jump of the displacements across the crack surfaces. In solving the dual integral equations, the jump of the displacements across the crack surface is expanded in a series of Jacobi polynomials. The closed form solutions of the stress intensity factor, the electric displacement intensity factor and the magnetic flux intensity factor are given. It can be obtained that the stress field is independent of the electric field and the magnetic flux.

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Section: Introductionmentioning

confidence: 99%

A Closed Form Solution of a Crack in Magneto-Electro-Elastic Composites under Anti-Plane Shear Stress Loading

Zhou

Wang

2005

JSME Int. J., Ser. A

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“…However, in fracture mechanics, it is of importance to determine the perturbation stress, the perturbation electric displacement and the perturbation magnetic flux in the vicinity of the crack tips. In the case of the present study, τ (1) yz , τ (2) yz , D (1) y , D (2) y , B (1) y and B (2) y along the crack line can be expressed respectively as…”

Section: Intensity Factorsmentioning

confidence: 95%

“…β 1 is a constant which depends on the properties of the materials (see Appendix). However, β 1 is independent of the functionally graded parameters β (1) and β (2) . When the properties of the upper layer and the lower layer are continuous along the crack line,…”

Section: Solutionmentioning

confidence: 99%

Two Collinear Interface Cracks between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Layers under Anti-Plane Shear Loading

Liang

2006

JSME Int. J., Ser. A

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In this paper, the behavior of two collinear interface cracks between two dissimilar functionally graded piezoelectric/piezomagnetic material layers subjected to an anti-plane shear loading is investigated. To make the analysis tractable, it is assumed that the material properties vary exponentially with coordinate vertical to the crack. By using the Fourier transform, the problem can be solved with the help of a pair of triple integral equations in which the unknown variable is the jump of the displacement across the crack surfaces. These equations are solved using the Schmidt method. The normalized stress, the electrical displacement and the magnetic flux intensity factors are determined for different geometric for the permeable electric boundary conditions. The relations among the electric filed, the magnetic flux field and the dynamic stress field near the crack tips can be obtained. Numerical examples are provided to show the effect of the functionally graded parameter and the thickness of the strip upon the stress, the electric displacement and the magnetic flux intensity factors of the crack.

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“…In particular, there is a growing interest among researchers in solving fracture mechanic problems in media possessing coupled piezoelectric, piezomagnetic and magnetoelectric effects, that is, magnetoelectroelastic effects. Recently, the crack initiation behavior in a magnetoelectroelastic composite under in-plane deformation was investigated by Song and Sih [4]. Gao et al [5] presented exact treatments on the crack problems in magnetoelectroelastic solids.…”

Section: Introductionmentioning

confidence: 99%

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

Chen

2012

Z Angew Math Mech

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The dynamic response of a cracked magnetoelectroelastic layer sandwiched between dissimilar elastic layers under antiplane shear and in-plane electric and magnetic impacts is investigated by the integral transform method. Fourier transforms and Laplace transforms are applied to reduce the mixed boundary value problem of the impermeable crack to simultaneous dual integral equations, which are then expressed in terms of simultaneous Fredholm integral equations of the second kind. The stress field, electric field and magnetic field near the crack tip are obtained asymptotically, and the corresponding field intensity factors are further determined. Numerical results show that the stress intensity factors are influenced by the material properties, the electric and magnetic loadings, and the geometry. The crack initiation can be enhanced or retarded depending on the electric and magnetic loading, and the crack may propagate along its original crack line when the criterion of maximum hoop stress is applied.

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Crack initiation behavior in magnetoelectroelastic composite under in-plane deformation

Cited by 174 publications

References 12 publications

A Closed Form Solution of a Crack in Magneto-Electro-Elastic Composites under Anti-Plane Shear Stress Loading

A Closed Form Solution of a Crack in Magneto-Electro-Elastic Composites under Anti-Plane Shear Stress Loading

Two Collinear Interface Cracks between Two Dissimilar Functionally Graded Piezoelectric/Piezomagnetic Material Layers under Anti-Plane Shear Loading

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

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