Analysis of cracked piezoelectric layer with imperfect non-homogeneous orthotropic coating

Bagheri, R.; Ayatollahi, M.; Mousavi, Seyed Mahmoud

doi:10.1016/j.ijmecsci.2014.11.025

Cited by 25 publications

(9 citation statements)

References 22 publications

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“…where ∇ 2 is the two-dimensional Laplacian operator. Consequently equations (2)- (5) and (9) can be made in the forms…”

Section: Problem Formulationmentioning

confidence: 99%

“…Wang and Xu [8] analytically discovered the contribution of surface piezoelectricity to the interaction between a piezoelectric screw dislocation and a finite crack in a hexagonal piezoelectric solid. Bagheri et al [9] explored the problem of a screw dislocation located in a substrate imperfectly bonded to a coating, and the dislocation density was used to determine the field intensity factors. Zhang et al [10] investigated the interaction between a screw dislocation and a circular nanoinhomogeneity with a semi-infinite wedge crack penetrating the interface, and the influence of elastic mismatch of materials, inhomogeneity size, interface stress, and wedge-crack opening angle was studied.…”

Section: Introductionmentioning

confidence: 99%

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Interaction of Screw Dislocation with Edge Interfacial Crack on Fine-Grained Piezoelectric Coating/Substrate

Liu

et al. 2019

Advances in Materials Science and Engineering

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The interaction between micro- and macrocracks in a fine-grained piezoelectric coating/substrate under remote antiplane mechanical and in-plane electrical loadings was studied. The principle of superposition and a mapping function method was used to transform the fine-grained coating/substrate structure containing the screw dislocation and the edge interfacial crack into the right semi-infinite plane piezoelectric bimaterial with screw dislocation to simplify the problem. Furthermore, the electric field, displacement field, intensity factors, and image force of these two problems were established. In addition, numerical calculations were then given graphically to study the effects of the elastic modulus of the material, the size of the crack, the thickness of the coating, and the screw dislocation angle on the edge interface crack and dislocation.

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“…where ∇ 2 is the two-dimensional Laplacian operator. Consequently equations (2)- (5) and (9) can be made in the forms…”

Section: Problem Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Interaction of Screw Dislocation with Edge Interfacial Crack on Fine-Grained Piezoelectric Coating/Substrate

Liu

et al. 2019

Advances in Materials Science and Engineering

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“…Because the kernels are expected to exhibit certain singular behavior, the singular behavior of the stress components is investigated by the asymptotic values of the integrands in equation (18) for p ! '.…”

Section: Solution Of Dislocationmentioning

confidence: 99%

Transient response of cracked nonhomogeneous substrate with piezoelectric coating by dislocation method

Ershad

Bagheri

Noroozi

2018

Mathematics and Mechanics of Solids

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The transient response of a functionally graded material (FGM) orthotropic strip with a piezoelectric coating weakened by multiple cracks is investigated. The system is subjected to out-of-plane mechanical and in-plane electrical loading. The properties of the nonhomogeneous substrate are assumed to vary exponentially along the thickness and the energy dissipation is modeled by viscous damping. In this study, the rate of the gradual change of the shear moduli, mass density, and damping constant are assumed to be same. At first, the transient response of a Volterra-type dislocation in an FGM orthotropic strip is obtained analytically. Imposing a distributed dislocation density on the crack surface and using the Fourier and Laplace integral transforms, the problem is reduced to a system of singular integral equations for a substrate weakened by multiple cracks in the form of Cauchy singularity; which are solved numerically to obtain the dynamic stress intensity factors at the crack tips. Finally, the effects of the geometrical parameters, material properties, viscous damping and cracks arrangement on the dynamic fracture behavior of the interacting cracks are studied.

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“…SIFs and hoop stress on the imperfect bonding coefficient were calculated. Bagheri et al [11] investigated cracked piezoelectric substrate with imperfect orthotropic coating. By using the dislocation densities, the field of stress intensity factors was determined.…”

Section: Introductionmentioning

confidence: 99%

Multiple cracks analysis in a FG orthotropic layer with FGPM coating under anti-plane loading

Sourki

Ilyaei

Bastanfar

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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An analytical solution to the fracture analysis of a functionally graded (FG) orthotropic substrate with FG piezoelectric coating weakened by a screw dislocation is carried out. The material properties are assumed to vary exponentially through the thickness of the layers. The problem is solved under various types of anti-plane shear and in-plane electric loadings. At first, by considering a single-screw dislocation at crack location, an analytical solution is developed. Next, by using the Fourier transform, the problem is reduced to a system of singular integral equations with Cauchy-type singularities. Then, by computing the dislocation densities, both the stress intensity factors and the stress fields at the crack tips under different electromechanical loadings are determined. In this investigation, various examples are solved to show the applicability of the proposed solution by studying the effects of the cracks configurations, material properties, and non-homogeneity parameter on the stress intensity factors. Keywords FG orthotropic substrate Á Non-homogeneous piezoelectric coating Á Distributed dislocation technique Á Stress intensity factors Á Elliptical cracks Á Mode III fracture analysis

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Analysis of cracked piezoelectric layer with imperfect non-homogeneous orthotropic coating

Cited by 25 publications

References 22 publications

Interaction of Screw Dislocation with Edge Interfacial Crack on Fine-Grained Piezoelectric Coating/Substrate

Interaction of Screw Dislocation with Edge Interfacial Crack on Fine-Grained Piezoelectric Coating/Substrate

Transient response of cracked nonhomogeneous substrate with piezoelectric coating by dislocation method

Multiple cracks analysis in a FG orthotropic layer with FGPM coating under anti-plane loading

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