Javascript must be enabled to continue!
Robinson–Martin: Relating the 4¯3m and 6mm nonlinear piezoelectric tensors
View through CrossRef
Binary semiconductors are central to all modern electronic, optoelectronic, and electromechanical systems. Given such practical importance, there is value in finding routes to simplify the determination of physical properties, particularly with respect to nonlinearities. Fortunately, nearly all binary semiconductors crystallize into one of two structures: cubic zinc blende or hexagonal wurtzite. Correspondences between the linear rank 3 piezoelectric and rank 4 elastic tensors of zinc blende and wurtzite polytypes have been addressed. Nonlinear rank 6 elastic tensors have similarly been discussed. Provided herein are the analogous relations for the nonlinear rank 5 tensors that have not previously been treated and which complete this missing transformation gap and enable some nonlinear atomic-level phenomena to be investigated.
Title: Robinson–Martin: Relating the 4¯3m and 6mm nonlinear piezoelectric tensors
Description:
Binary semiconductors are central to all modern electronic, optoelectronic, and electromechanical systems.
Given such practical importance, there is value in finding routes to simplify the determination of physical properties, particularly with respect to nonlinearities.
Fortunately, nearly all binary semiconductors crystallize into one of two structures: cubic zinc blende or hexagonal wurtzite.
Correspondences between the linear rank 3 piezoelectric and rank 4 elastic tensors of zinc blende and wurtzite polytypes have been addressed.
Nonlinear rank 6 elastic tensors have similarly been discussed.
Provided herein are the analogous relations for the nonlinear rank 5 tensors that have not previously been treated and which complete this missing transformation gap and enable some nonlinear atomic-level phenomena to be investigated.
Related Results
Biquadratic Tensors: Eigenvalues and Structured Tensors
Biquadratic Tensors: Eigenvalues and Structured Tensors
The covariance tensors in statistics and Riemann curvature tensor in relativity theory are both biquadratic tensors that are weakly symmetric, but not symmetric in general. Motivat...
A Constitutive Model for Piezoelectric Paint with Mixed Connectivity
A Constitutive Model for Piezoelectric Paint with Mixed Connectivity
This article presents a constitutive model for piezoelectric paint that addresses its special characteristics such as mixed connectivity and air void content. Piezoelectric paint i...
Review of high temperature piezoelectric materials, devices, and applications
Review of high temperature piezoelectric materials, devices, and applications
Piezoelectric functional materials have been extensively studied and employed in numerous devices. With the rapid development of modern industries, such as power plants, aerospace,...
Even-Order Pascal Tensors Are Positive-Definite
Even-Order Pascal Tensors Are Positive-Definite
In this paper, we show that even-order Pascal tensors are positive-definite, and odd-order Pascal tensors are strongly completely positive. The significance of these is that our in...
Design, fabrication, and properties of 2-2 connectivity cement/polymer based piezoelectric composites with varied piezoelectric phase distribution
Design, fabrication, and properties of 2-2 connectivity cement/polymer based piezoelectric composites with varied piezoelectric phase distribution
The laminated 2-2 connectivity cement/polymer based piezoelectric composites with varied piezoelectric phase distribution were fabricated by employing Lead Zirconium Titanate ceram...
Design and test of liquid sloshing piezoelectric energy harvester
Design and test of liquid sloshing piezoelectric energy harvester
The energy harvester based on the piezoelectric effect can convert the vibration energy in the environment into electricity to power the network nodes. In order to broaden the effe...
Modelling of the Coupled Beam-Piezoelectric Material With Hysteresis Non-Linerity Effect
Modelling of the Coupled Beam-Piezoelectric Material With Hysteresis Non-Linerity Effect
Hysteresis is one of the non-linearity characteristics of the piezoelectric material. This characteristic is important to be characterized since it can affect the performance of th...
Future Prospects of Piezoelectric Perovskite Materials
Future Prospects of Piezoelectric Perovskite Materials
Piezoelectric perovskite materials have emerged as a promising class of
materials due to their unique combination of piezoelectric properties, mechanical
stability, and wide bandga...

