Equations of Piezoelectricity

Cady, W. G.

doi:10.1038/162933b0

Cited by 23 publications

(28 citation statements)

References 1 publication

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“…In SiO 2 case, our calculated e 11 (0.181 C/m 2 ) is in good agreement with the experimental data, obtained by Kushibiki et al [20] (0.180 C/m 2 ) and the value reported by Cady [25] (0.172 C/ m 2 ). It also has relatively difference for e 14 , that may be owing to the strong temperature effect on e 14 [26,27].…”

Section: Piezoelectric Propertiessupporting

confidence: 94%

Structure, elastic and piezoelectric properties of A 3 BO 7 (A = Ga, Al; B = P, As) compounds: A DFT study

Ren

et al. 2015

Computational Materials Science

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Section: Piezoelectric Propertiessupporting

confidence: 94%

Structure, elastic and piezoelectric properties of A 3 BO 7 (A = Ga, Al; B = P, As) compounds: A DFT study

Ren

et al. 2015

Computational Materials Science

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“…where θ is the angle between the measurement direction and the [001] crystallographic axis [28]. An important consequence of this result is that the measured piezoresponse will depend on the d 33 , d 31 ,and d 15 piezoelectric coefficients, as described elsewhere [27].…”

Section: Methodsmentioning

confidence: 99%

“…In general, for an arbitrarily rotated grain, the components of the piezoelectric tensor transform as [28] …”

Section: Methodsmentioning

confidence: 99%

Investigation of the mechanism of polarization switching in ferroelectric capacitors by three- dimensional piezoresponse force microscopy

et al. 2005

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I.; Nemanich, Robert J.; and Cross, J. S., "Investigation of the mechanism of polarization switching in ferroelectric capacitors by three-dimensional piezoresponse force microscopy" (2005). Alexei Gruverman Publications. 47. http://digitalcommons.unl.edu/physicsgruverman/47 Abstract A mechanism for the switching behavior of (111)-oriented Pb(Zr, Ti)O 3 -based 1 × 1.5 µm 2 capacitors has been investigated using three-dimensional piezoresponse force microscopy (3D-PFM). A combination of vertical and lateral piezoresponse force microscopy (VPFM and LPFM) has been used to map the out-of-plane and the in-plane components of the polarization. The three-dimensional polarization distribution was reconstructed by quantitative analysis of the PFM amplitude images of poled PZT capacitors while taking into account contrast variations in the PFM phase images. The switching behavior of the capacitors was determined by comparison of the static domain patterns in the same capacitors after both positive and negative poling. While 180° switching was observed, surprisingly, the switching process was dominated by 90° polarization vector rotation. Furthermore, central regions of the capacitors were characterized by the presence of charged domain boundaries, which could lead to imprint (preference of one polarization state over another).

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“…For a commonly used piezoelectric material like PVDF, which falls in the crystal group Rhombic and Class 7, the piezoelectric constant matrix due to Cady [26] and dielectric constant matrix due to Tzau and Pandita [27] are given by; …”

Section: Formulationmentioning

confidence: 99%

2D semi-analytical solutions for single layer piezoelectric laminate subjected to electro-mechanical loading

Pendhari¹,

Sawarkar²,

Desai

2015

Composite Structures

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Equations of Piezoelectricity

Cited by 23 publications

References 1 publication

Structure, elastic and piezoelectric properties of A 3 BO 7 (A = Ga, Al; B = P, As) compounds: A DFT study

Structure, elastic and piezoelectric properties of A 3 BO 7 (A = Ga, Al; B = P, As) compounds: A DFT study

Investigation of the mechanism of polarization switching in ferroelectric capacitors by three- dimensional piezoresponse force microscopy

2D semi-analytical solutions for single layer piezoelectric laminate subjected to electro-mechanical loading

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