Transient Response of a Cracked Infinite Piezoelectric Strip Under Anti‐plane Impact

Yu, Xiaobo; Chen, Zengtao

doi:10.1046/j.1460-2695.1998.00108.x

Cited by 23 publications

(2 citation statements)

References 7 publications

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“…1). As discussed by Shindo et al [13], Yu and Chen [14], Narita and Shindo [15], and Chen et al [7], the continuity and the boundary conditions of the present problem are as follows:…”

Section: Solution Of the Problemmentioning

confidence: 96%

Scattering of the harmonic anti-plane shear waves by a crack in functionally graded piezoelectric materials

Zhou

et al. 2005

Composite Structures

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“…1). As discussed by Shindo et al [13], Yu and Chen [14], Narita and Shindo [15], and Chen et al [7], the continuity and the boundary conditions of the present problem are as follows:…”

Section: Solution Of the Problemmentioning

confidence: 96%

Scattering of the harmonic anti-plane shear waves by a crack in functionally graded piezoelectric materials

Zhou

et al. 2005

Composite Structures

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“…This has led to a host of research findings [1][2][3][4][5][6][7][8] on the fracture mechanics of piezoelectric materials. On the other hand, the development of functionally graded materials (FGMs) has demonstrated that they have the potential to reduce the stress concentration and increase of fracture toughness.…”

mentioning

confidence: 99%

Non-Local Theory Solution for an Anti-Plane Shear Permeable Crack in Functionally Graded Piezoelectric Materials

Zhou

Wang²

2006

Appl Compos Mater

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In this paper, the non-local theory solution of a Griffith crack in functionally graded piezoelectric materials under the anti-plane shear loading is obtained for the permeable electric boundary conditions, in which the material properties vary exponentially with coordinate parallel to the crack. The present problem can be solved by using the Fourier transform and the technique of dual integral equation, in which the unknown variable is the jump of displacement across the crack surfaces, not the dislocation density function. To solve the dual integral equations, the jump of the displacement across the crack surfaces is directly expanded in a series of Jacobi polynomials. From the solution of the present paper, it is found that no stress and electric displacement singularities are present near the crack tips. The stress fields are finite near the crack tips, thus allows us to use the maximum stress as a fracture criterion. The finite stresses and the electric displacements at the crack tips depend on the crack length, the functionally graded parameter and the lattice parameter of the materials, respectively. On the other hand, the angular variations of the strain energy density function are examined to associate their stationary value with locations of possible fracture initiation.

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Interaction of four parallel non‐symmetric permeable mode‐III cracks with different lengths in a functionally graded piezoelectric material plane

Zhang

Zhou

2009

Z Angew Math Mech

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In this paper, the behavior of four parallel non‐symmetric permeable cracks with different lengths in a functionally graded piezoelectric material plane subjected to anti‐plane shear stress loading was studied by the Schmidt method. The problem was formulated through Fourier transform into four pairs of dual integral equations, in which unknown variables are the jumps of displacements across the crack surfaces. To solve the dual integral equations, the jumps of displacements across the crack surfaces were directly expanded as a series of Jacobi polynomials. The results show that the stress intensity factors at the crack tips depend on the lengths and spacing of cracks and the material parameters. It is also revealed that the crack shielding effect presents in functionally graded piezoelectric materials.

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Transient Response of a Cracked Infinite Piezoelectric Strip Under Anti‐plane Impact

Cited by 23 publications

References 7 publications

Scattering of the harmonic anti-plane shear waves by a crack in functionally graded piezoelectric materials

Scattering of the harmonic anti-plane shear waves by a crack in functionally graded piezoelectric materials

Non-Local Theory Solution for an Anti-Plane Shear Permeable Crack in Functionally Graded Piezoelectric Materials

Interaction of four parallel non‐symmetric permeable mode‐III cracks with different lengths in a functionally graded piezoelectric material plane

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