A shooting method for nonlinear boundary value problems in a thermal piezoelectric semiconductor plate

Zhao, Minghao; Yang, ChangHai; Fan, CuiYing; Zhang, Qiaoyun

doi:10.1002/zamm.201900302

Cited by 8 publications

(3 citation statements)

References 24 publications

(43 reference statements)

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“…By using the displacement discontinuity method, Zhao et al [25] and Qin et al [26] studied the crack in PSs. Additionally, the influence of temperature has been explored by integrating thermoelectric effects into the macroscopic theory of PSs, further enriching our understanding of the electromechanical responses [27][28][29]. By following the Coleman-Noll procedure [30][31][32], a self-consistent continuum theory for elastic thermoelectric semiconductors was established by Qu et al [33], marking an advancement in the field and providing a comprehensive theoretical framework for future research.…”

Section: Introductionmentioning

confidence: 99%

“…[26] studied the crack in PSs. Additionally, the influence of temperature has been explored by integrating thermoelectric effects into the macroscopic theory of PSs, further enriching our understanding of the electromechanical responses [27–29]. By following the Coleman‐Noll procedure [30–32], a self‐consistent continuum theory for elastic thermoelectric semiconductors was established by Qu et al.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Torque‐tuned I‐V characteristics in a piezoelectric semiconductor composite fiber

Zhang,

Mei,

et al. 2024

Z Angew Math Mech

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This paper studies the multi‐physical fields in a torsional composite fiber composed of a non‐piezoelectric semiconductor (PS) core coated with a piezoelectric dielectric shell. Based on the three‐dimensional framework of piezoelectricity and drift‐diffusion theory, we develop a nonlinear one‐dimensional model that incorporates the warping deformation, shear deformation, and axial variations of the electric field and charge transportations. A One‐dimensional model is linearized for small perturbations of charges, and we obtain the analytical solutions for single rods or PN junctions when torques are applied, which explicitly illustrates the electromechanical fields and redistribution of mobile charges. We also examine how the thickness of the composite rods affects the interaction between the piezoelectric and semiconductor components in the model. The optimal thickness ratio for maximizing the overall mobility of carriers has been discovered. This enables us to modify the thickness ratio to achieve the greatest PS interaction performance. Based on the nonlinear equations, we analyze the relationships between electric currents and applied voltages on the end of rods. Finally, we examine how twisting moments influence the characteristics of this I‐V relationship. The presented study provides a potential application for mechanical switches or sensors for PSs.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Torque‐tuned I‐V characteristics in a piezoelectric semiconductor composite fiber

Zhang,

Mei,

et al. 2024

Z Angew Math Mech

View full text Add to dashboard Cite

show abstract

“…Luo et al [ 26 ] then studied the same PSC plate model as reference [ 25 ] under periodic loads and derived the first three-order natural frequencies. Zhao et al [ 27 ] analyzed a thermal piezoelectric semiconductor plate with a shooting method and obtained the numerical solutions of the electromechanical field and temperature along a thickness-extensional direction.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Flexural Vibrations of a Piezoelectric Semiconductor Nanoplate Driven by a Time-Harmonic Force

Zhang

Wang

et al. 2021

Materials

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The performance of devices fabricated from piezoelectric semiconductors, such as sensors and actuators in microelectromechanical systems, is superior; furthermore, plate structures are the core components of these smart devices. It is thus important to analyze the electromechanical coupling properties of piezoelectric semiconductor nanoplates. We established a nanoplate model for the piezoelectric semiconductor plate structure by extending the first-order shear deformation theory. The flexural vibrations of nanoplates subjected to a transversely time-harmonic force were investigated. The vibrational modes and natural frequencies were obtained by using the matrix eigenvalue solver in COMSOL Multiphysics 5.3a, and the convergence analysis was carried out to guarantee accurate results. In numerical cases, the tuning effect of the initial electron concentration on mechanics and electric properties is deeply discussed. The numerical results show that the initial electron concentration greatly affects the natural frequency and electromechanical fields of piezoelectric semiconductors, and a high initial electron concentration can reduce the electromechanical fields and the stiffness of piezoelectric semiconductors due to the electron screening effect. We analyzed the flexural vibration of typical piezoelectric semiconductor plate structures, which provide theoretical guidance for the development of new piezotronic devices.

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Nonlinear magnetoelectric effects in a composite piezomagnetic–piezoelectric semiconductor structure

Zhao,

Jin,

2024

Acta Mech

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A shooting method for nonlinear boundary value problems in a thermal piezoelectric semiconductor plate

Cited by 8 publications

References 24 publications

Torque‐tuned I‐V characteristics in a piezoelectric semiconductor composite fiber

Torque‐tuned I‐V characteristics in a piezoelectric semiconductor composite fiber

Analysis of Flexural Vibrations of a Piezoelectric Semiconductor Nanoplate Driven by a Time-Harmonic Force

Nonlinear magnetoelectric effects in a composite piezomagnetic–piezoelectric semiconductor structure

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