Analysis of a Circular Piezoelectric Semiconductor Embedded in a Piezoelectric Semiconductor Substrate

Yang, Jiashi; Song, Yunwei; Soh, Ai‐Kah

doi:10.1007/s00419-006-0035-7

Cited by 29 publications

(5 citation statements)

References 20 publications

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“…This type of linearization has been used in the analyses of PSs before [30,[34][35][36][37][38][39]. It has also been used in the macroscopic theory of ionic conductors [40,41], a mathematically equivalent problem where the equilibrium or motion of ions are also governed by drift under an electric field and diffusion due to concentration gradients.…”

Section: ( )mentioning

confidence: 99%

An analysis of the extension of a ZnO piezoelectric semiconductor nanofiber under an axial force

Zhang

Wang

Chen

et al. 2017

Smart Mater. Struct.

158

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This paper presents a theoretical analysis on the axial extension of an n-type ZnO piezoelectric semiconductor nanofiber under an axial force. The phenomenological theory of piezoelectric semiconductors consisting of Newton’s second law of motion, the charge equation of electrostatics and the conservation of charge was used. The equations were linearized for small axial force and hence small electron concentration perturbation, and were reduced to one-dimensional equations for thin fibers. Simple and analytical expressions for the electromechanical fields and electron concentration in the fiber were obtained. The fields are either totally or partially described by hyperbolic functions relatively large near the ends of the fiber and change rapidly there. The behavior of the fields is sensitive to the initial electron concentration and the applied axial force. For higher initial electron concentrations the fields are larger near the ends and change more rapidly there.

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Section: ( )mentioning

confidence: 99%

An analysis of the extension of a ZnO piezoelectric semiconductor nanofiber under an axial force

Zhang

Wang

Chen

et al. 2017

Smart Mater. Struct.

158

View full text Add to dashboard Cite

show abstract

“…Most of the above studies are flat plates and multilayered structures. Actually, the PS cylindrical curved structures also received much attention (Luo et al, 2018;Yang et al, 2006Yang et al, , 2022, while the wave propagation has little reports in such structures. Therefore we study the circumferential wave in a PS cylindrical shell and hope to provide theoretical guidance for its design.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of complete circumferential guided wave in a piezoelectric semiconductor cylindrical shell

Chen

Zhang

Zhou

et al. 2022

Journal of Intelligent Material Systems and Structures

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In this paper, the characteristics of circumferential Lamb-like wave in a cylindrical shell of N-type piezoelectric semiconductor are investigated by employing the analytic Legendre orthogonal polynomial method (ALOPM). Based on the linear phenomenological theory, the governing differential equations are derived for different electrical boundary conditions, and transformed into a matrix eigenvalues problem via using the ALOPM. The dispersion solutions for a piezoelectric semiconductor cylindrical shell with big radius-thickness ratio obtained from the ALOPM are verified by comparing with the results from the global matrix method (GMM). Three-dimensional spectrum is plotted for a better observation. The spectrum of piezoelectric semiconductor is symmetrically distributed about the frequency axis, which is different from the piezoelectric dielectric material. The effects of different electrical boundary conditions, steady-state carrier density and radius-thickness ratio on phase velocity dispersion curves are illustrated. The amplitude distributions of displacement, electric potential and perturbation of the carrier density are studied. The effects of steady-state carrier density on the stress distribution are also illustrated. Non-propagating wave modes with low attenuation and high phase velocity value are found. The corresponding results presented in this work can be used to optimize the design of piezoelectric semiconductor acoustic wave devices.

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“…Piezoelectric semiconductors (PSCs) have been widely applied in intelligent structures and electromechanical devices [1][2][3][4] because of their piezoelectric and semi-conductive properties. [5][6][7] A key characteristic of PSCs is the interaction between the internal electric field and carriers under an applied bias voltage or mechanical force. This makes PSCs exhibit novel mechanical, electronic, and optical behavior.…”

Section: Introductionmentioning

confidence: 99%

Theoretical analysis on the extension of a piezoelectric semi-conductor nanowire: Effects of flexoelectricity and strain gradient

Zhao

Liu

Fan

et al. 2020

Journal of Applied Physics

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One-dimensional piezoelectric semiconductor (PSC) nanowires have been widely used in smart structures and devices; however, few theoretical studies on their nano-size effects have been carried out. In this paper, a theoretical analysis of one-dimensional n-type PSC nanowires under an axial force was carried out, with consideration of the flexoelectric and strain gradient effects. Exact solutions were obtained based on the differential operator theory. The flexoelectric and strain gradient effects on the internal electromechanical field and carrier concentration have been discussed. It can be shown that the flexoelectric effect weakens the piezoelectricity of a PSC nanowire while the strain gradient has the opposite effect, with an amplitude enhancement that is dependent on the flexoelectric and inner scale coefficients.

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Analysis of a Circular Piezoelectric Semiconductor Embedded in a Piezoelectric Semiconductor Substrate

Cited by 29 publications

References 20 publications

An analysis of the extension of a ZnO piezoelectric semiconductor nanofiber under an axial force

An analysis of the extension of a ZnO piezoelectric semiconductor nanofiber under an axial force

Characteristics of complete circumferential guided wave in a piezoelectric semiconductor cylindrical shell

Theoretical analysis on the extension of a piezoelectric semi-conductor nanowire: Effects of flexoelectricity and strain gradient

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