Anti-plane moving crack in a functionally graded piezoelectric layer between two dissimilar piezoelectric strips

Shin, Jeong Woo; Lee, Young-Shin

doi:10.1007/s12206-012-0233-x

Cited by 13 publications

(5 citation statements)

References 26 publications

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“…Chen et al [3] studied the transient response of a semi-infinite mode III interfacial crack propagating between piezoelectric-piezomagnetic materials. Shin and Lee [33] analyzed the dynamic propagation of a crack in FGPM interface layer between two dissimilar piezoelectric layers under anti-plane shear.…”

Section: Introductionmentioning

confidence: 99%

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Analysis of a Griffith crack at the interface of two piezoelectric materials under anti-plane loading

Gherrous

Ferdjani

2016

Continuum Mech. Thermodyn.

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The main objective of this work is the contribution to the study of the piezoelectric structures which contain preexisting defect (crack). For that, we consider a Griffith crack located at the interface of two piezoelectric materials in a semi-infinite plane structure. The structure is subjected to an anti-plane shearing combined with an in-plane electric displacement. Using integral Fourier transforms, the equations of piezoelectricity are converted analytically to a system of singular integral equations. The singular integral equations are further reduced to a system of algebraic equations and solved numerically by using Chebyshev polynomials. The stress intensity factor and the electric displacement intensity factor are calculated and used for the determination of the energy release rate which will be taken as fracture criterion. At the end, numerical results are presented for various parameters of the problem; they are also presented for an infinite plane structure.

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Section: Introductionmentioning

confidence: 99%

“…(30),(31),(32),(33),(34) and (35) form a system of six linear algebraic equations which can be rewritten in a compact form(A) (1) e |λ|h −C44 (1) e −|λ|h 0 e15 (1) e |λ|h −e15 (1) e −|λ|h 0 e15 (1) e |λ|h −e15 (1) e −|λ|h 0 −ε11 (1) e |λ|h ε11…”

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confidence: 99%

Analysis of a Griffith crack at the interface of two piezoelectric materials under anti-plane loading

Gherrous

Ferdjani

2016

Continuum Mech. Thermodyn.

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“…The correlation among the repair moment coefficient, crack parameters and length of the piezoelectric patch has been explored in this work. The dynamic propagation of a crack in a functionally graded piezoelectric interface layer under anti-plane shear is examined using integrated transformation approaches (Shin and Lee, 2012). An analytical model of a cracked beam repaired by a piezoelectric patch is presented by Al-Ashtari (2016).…”

Section: Introductionmentioning

confidence: 99%

Investigation of crack repair using piezoelectric material under thermo-mechanical loading

Kumar

Singh

Tiwari

2020

Journal of Intelligent Material Systems and Structures

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This article presents an experimental investigation of repair of a crack in a structure using piezoelectric material under thermo-mechanical loading environment. The cyclic mechanical load is applied on a plate with a straight and angular crack under uniform temperature environment. Two cases have been considered for the repair of crack under (a) mechanical loading and (b) thermo-mechanical loading environment. A piezoelectric sensor is utilized to measure voltage. The measured voltage is used to calculate the stress intensity factor in passive and active modes. The effect of a single and double piezoelectric patch in the repair of the plate is investigated. The double piezoelectric patch is found to be more effective as compared to single patch when placed symmetrically offset from the crack. An optimal value of voltage and phase difference is evaluated for most effective crack repair. Location of the piezoelectric patch is varied with respect to crack location, and best-suited position for effective crack repair is proposed. The viability of piezoelectric used for repair under thermo-mechanical loading is discussed. The active mode of repair by piezoelectric is found to be effective under thermo-mechanical loading environment.

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“…Yan and Jiang [5] provided the problem of a propagating finite crack under in-plane loading in functionally graded piezoelectric materials. Shin and Lee [6] analyzed the dynamic propagation of a crack in a functionally graded piezoelectric material interface layer between two dissimilar piezoelectric layers under anti-plane shear. Chen et al [7] investigated the transient response of an interfacial crack between two functionally graded piezoelectric strips, subjected to uniform anti-plane mechanical and in-plane electric displacement.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Anti-Plane Characteristics at Outer Tip of an Interfacial Crack near a Circular Cavity in Piezoelectric Bi-Materials

Song

Hassan

2014

AMM

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A theoretical analysis is followed to calculate the dynamic stress intensity factors (DSIFs) in transversely isotropic piezoelectric bi-materials, due to existence of a permeable interfacial crack, near the edge of a circular cavity. The model is subjected to dynamic incident anti-plane shearing (SH-wave) and the formulation based on Green's function method. Conjunction and crack-simulation techniques are applied to obtain DSIFs at the crack’s outer tip. Calculations are prepared based on FORTRAN language program. A comparison is accomplished between the present model and another model with a crack emerging from the cavity edge to calibrate the program. Calculating results showed the influences of the physical parameters, the structural geometry and the wave frequencies on the dimensionless DSIFs and how those affected the efficiency of piezoelectric devices and materials.

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Anti-plane moving crack in a functionally graded piezoelectric layer between two dissimilar piezoelectric strips

Cited by 13 publications

References 26 publications

Analysis of a Griffith crack at the interface of two piezoelectric materials under anti-plane loading

Analysis of a Griffith crack at the interface of two piezoelectric materials under anti-plane loading

Investigation of crack repair using piezoelectric material under thermo-mechanical loading

Dynamic Anti-Plane Characteristics at Outer Tip of an Interfacial Crack near a Circular Cavity in Piezoelectric Bi-Materials

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