Continuum Modeling on Size-dependent Properties of Piezoelectric Nanostructures
Bibliographic record
Abstract
Piezoelectric beam- and plate-based nanostructures hold a promise for device applications in the nanoelectromechanical systems (NEMS) due to their superior mechanical and electromechanical coupling properties. “Small is different”, nanostructured piezoelectric materials exhibit size-dependent properties, which are different from their bulk counterparts. For predicting the unique physical and mechanical properties of these novel nanostructures, continuum mechanics modeling has been regarded as an efficient tool. However, the conventional continuum models fail to capture the size effects of nanostructures and thus are not directly applicable at the nanoscale. Therefore, it is necessary to develop modified continuum models for piezoelectric nanostructures by incorporating the size effects and investigate the size-dependent properties of piezoelectric nanostructures based on the developed models.\nNanoscale structures are characterized by a high surface to volume ratio. The atoms in the surface layers of a structure are exposed to a different environment compared to those in the bulk of the structure. Thus, surface has a considerable influence on the physical and mechanical behaviors of nanoscale structures and is believed to be responsible for their size-dependent properties. In addition, for nanostructured piezoelectric materials, the strain gradient induced flexoelectricity could be significant and contribute to their size-dependent properties. In this thesis, the influence of the surface effects and flexoelectric effect on the mechanical and electrical properties of piezoelectric nanostructures is investigated through modified continuum models. Firstly, based on a surface piezoelectricity model and the generalized Young-Laplace equations, modified continuum models with surface effects are developed to investigate the bending, vibration, buckling behaviors and electromechanical properties of piezoelectric nanobeams and nanoplates with different boundary conditions. Next, by accounting for the flexoelectric effect through the extended linear theory of piezoelectricity and conventional beam models, the static and dynamic responses of piezoelectric nanobeams are presented. It is demonstrated from this study that the size effects prominently influence the mechanical behaviors and the electroelastic responses of piezoelectric nanostructures.\nThis research carries out a theoretical methodology to predict the static bending, electroelastic field distribution, resonant frequencies of vibration and critical electric potential for the mechanical buckling of piezoelectric nanostructures with different structure geometries, loading conditions and boundary conditions, which is expected to provide a fundamental understanding on the electromechanical coupling behavior of piezoelectric structures at the nanoscale. It is helpful for understanding the size-dependent properties of nanostructured piezoelectric materials and performance improvement of the beam- and plate-based electronic devices in NEMS.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".