Electroelastic analysis of a piezoelectric ceramic strip with a central crack

Shindo, Yasuhide; Watanabe, Kôji; Narita, Fumio

doi:10.1016/s0020-7225(99)00015-4

Cited by 100 publications

(39 citation statements)

References 9 publications

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“…(40)-(42) for the transient stress and the transient electric potential in piezoelectric fibers has two parts. The first part is from the quasistatic solution (12) and the second part is from the dynamic solution (16), which is associated with radial vibration and propagation of electrothermoelastic waves in the piezoelectric fiber. From Eqs.…”

Section: Numerical Examples and Discussionmentioning

confidence: 99%

“…Smart materials containing piezoelectric fibers have large potential in sensor, actuator and ultrasonic transducer applications, offering good device performance for a wide range of automobiles, aircraft and space platforms [1,16,20]. Piezoelectric fibers are also emerging as a superior nondestructive means for evaluating the condition of composite structures.…”

Section: Introductionmentioning

confidence: 99%

“…Significant effort has also been applied to determine the singular stress and electric fields in cracked piezoelectric ceramics and composites [13,18]. Electroelastic analysis of piezoelectric ceramics with surface electrodes showed that high values of stresses and electric displacement arose in the neighborhood of the electrode tip [16]. However, previous investigations on the electroelastic field in piezoelectric fibers focus only on the static electromechanical interaction.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic focusing effect of piezoelectric fibers subjected to thermal shock

Dai¹,

Wang²

2006

Arch Appl Mech

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Based on finite Hankle transforms, this paper presents a theoretical method for analyzing the dynamic focusing effect of piezoelectric fibers subjected to the thermal shock of a transitory temperature change produced by a sudden electric current pulse. From analytical expressions and example calculations for two kinds of piezoelectric fibers, PZT-4 and BaTiO 3 , it is found that the dynamic focusing effect is dependent on the material property of the piezoelectric fibers so that the maximum dynamic stress amplitude of the two kinds of piezoelectric fiber occur at different radial points. The mechanism of the dynamic focusing effect in piezoelectric fibers is relevant to the evaluation of the dynamic strength and electric signal of the piezoelectric fiber. The results carried out may be used as a reference to solve other transient coupled electrothermoelasticity problems in piezoelectric structures.Keywords Piezoelectric fiber · Dynamic focusing effect · Thermal shock Nomenclature u r Radial displacement (m) c ij , e ij , Elastic constants (N/m 2 ) and piezoelectric constants (C/m 2 ) α i , g 11 Thermal expansion coefficients (1/k) and dielectric constants (C 2 /N m 2 ) λ i , β 1 Thermal modulus (N/m 2 • C) and pyroelectric coefficient (C/m 2 • C) σ i , D rThe component of stresses (N/m 2 ) and radial electric displacement (C/m 2 ) ϕ(r, t)Electric potential (W/A) T (r, t) Temperature change function ( • C) ρ, tMass density (kg/m 3 ) and time variable (s) r Radial variable (m) C L Electrothermoelastic wave speed (m/s) ωThe inherent frequency of a piezoelectric solid fiber (1/s). Nondimensional quantitiesR = r/a τ = C L t/a σ * r = σ r /(λ 1 T 0 ) σ * θ = σ θ /(λ 1 T 0 ) ϕ * = ϕ/(λ 1 T 0 ), (V /P a)

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Section: Numerical Examples and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic focusing effect of piezoelectric fibers subjected to thermal shock

Dai¹,

Wang²

2006

Arch Appl Mech

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“…1 -4. The material employed in the calculation is PZT-4 piezoelectric ceramic that possesses hexagonal symmetry, and the material properties are listed in Table 1 [25]. Figure 1 shows the variation of E θ as a function of θ for different dislocation velocities when π 1 0 b .…”

Section: Moving Dislocations Parallel To the Isotropic Basal Planementioning

confidence: 99%

Moving dislocations in general anisotropic piezoelectric solids

Soh

Liu

Lee

et al. 2005

Physica Status Solidi (b)

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The explicit closed-form solution is presented for a moving dislocation with the generalized Burgers vectorin an anisotropic piezoelectric solid, where j D corresponds to an electric dipole layer along the slip plane. The steady-state version of the Stroh formalism for piezoelectricity is used in this work. Particular attention is paid to the basic characteristics of the electric displacement and electric field due to the moving piezoelectric dislocations. As an important example, a detailed analysis is made for moving dislocations in hexagonal piezoelectric crystals.

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“…Therefore, it is important to understand the fracture behavior of piezoelectric materials. In [2][3][4] anti-shear of cracked piezoelectric ceramics strip and in [5,6] cracked piezoelectric composites were investigated.…”

Section: Introductionmentioning

confidence: 99%