Electric Current Dependent Fracture in GaN Piezoelectric Semiconductor Ceramics

Qin, GuoShuai; Lu, Chunsheng; Zhang, Xin; Zhao, Minghao

doi:10.3390/ma11102000

Cited by 25 publications

(7 citation statements)

References 42 publications

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“…The above equations are applicable to each component phase of the composite structure in Figure 1 as special cases. They have been used to study thickness vibration of plates [ 25 , 26 ], wave propagation [ 27 , 28 , 29 , 30 , 31 , 32 ], fields near cracks [ 33 , 34 , 35 ], extension of rods [ 36 , 37 , 38 , 39 ], bending of beams [ 40 , 41 , 42 , 43 , 44 , 45 ], and fields near PN junctions [ 46 , 47 , 48 , 49 ] in piezoelectric semiconductors.…”

Section: Governing Equationsmentioning

confidence: 99%

Magnetically Induced Carrier Distribution in a Composite Rod of Piezoelectric Semiconductors and Piezomagnetics

et al. 2020

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In this work, we study the behavior of a composite rod consisting of a piezoelectric semiconductor layer and two piezomagnetic layers under an applied axial magnetic field. Based on the phenomenological theories of piezoelectric semiconductors and piezomagnetics, a one-dimensional model is developed from which an analytical solution is obtained. The explicit expressions of the coupled fields and the numerical results show that an axially applied magnetic field produces extensional deformation through piezomagnetic coupling, the extension then produces polarization through piezoelectric coupling, and the polarization then causes the redistribution of mobile charges. Thus, the composite rod exhibits a coupling between the applied magnetic field and carrier distribution through combined piezomagnetic and piezoelectric effects. The results have potential applications in piezotronics when magnetic fields are relevant.

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Section: Governing Equationsmentioning

confidence: 99%

Magnetically Induced Carrier Distribution in a Composite Rod of Piezoelectric Semiconductors and Piezomagnetics

et al. 2020

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“…The propagation of elastic waves in PS rods and plates has been investigated in several studies under diverse situations [18][19][20][21][22][23][24]. 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].…”

Section: Introductionmentioning

confidence: 99%

“…[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 [27–29].…”

Section: Introductionmentioning

confidence: 99%

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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“…The theoretical analysis of multi-dimensional PSC problems is more difficult due to more complex equilibrium equations, constitutive relations, and multi-field coupling boundary conditions. In spite of this, there are classic electromechanical coupling problems that have been solved for thin plates [30][31][32], or infinite or semi-infinite domains, such as those for fracture [33][34][35] and wave propagation [36][37][38]. In addition, the studies on the temperature effects of PSCs [39][40][41] and the combinations with other functional materials [42,43] also enrich the understanding of the multi-field coupling effects of structures.…”

Section: Introductionmentioning

confidence: 99%

Theoretical Analysis of Piezoelectric Semiconductor Thick Plates with Periodic Boundary Conditions

Zhu,

Negahban,

et al. 2023

Micromachines

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Piezoelectric semiconductors, being materials with both piezoelectric and semiconducting properties, are of particular interest for use in multi-functional devices and naturally result in multi-physics analysis. This study provides analytical solutions for thick piezoelectric semiconductor plates with periodic boundary conditions and includes an investigation of electromechanical coupling effects. Using the linearization of the drift-diffusion equations for both electrons and holes for small carrier concentration perturbations, the governing equations are solved by the extended Stroh formalism, which is a method for solving the eigenvalues and eigenvectors of a problem. The solution, obtained in the form of a series expansion with an unknown coefficient, is solved by matching Fourier series expansions of the boundary conditions. The distributions of electromechanical fields and the concentrations of electrons and holes under four-point bending and three-point bending loads are calculated theoretically. The effects of changing the period length and steady-state carrier concentrations are covered in the discussion, which also reflects the extent of coupling in multi-physics interactions. The results provide a theoretical method for understanding and designing with piezoelectric semiconductor materials.

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Electric Current Dependent Fracture in GaN Piezoelectric Semiconductor Ceramics

Cited by 25 publications

References 42 publications

Magnetically Induced Carrier Distribution in a Composite Rod of Piezoelectric Semiconductors and Piezomagnetics

Magnetically Induced Carrier Distribution in a Composite Rod of Piezoelectric Semiconductors and Piezomagnetics

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

Theoretical Analysis of Piezoelectric Semiconductor Thick Plates with Periodic Boundary Conditions

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