dorsal/arxiv
View SchemaGeneralization of Stoney's equation for flexoelectric thin films on elastic substrates
| Authors | Swarnava Ghosh |
|---|---|
| Categories | |
| ArXiv ID | 2601.09160vv1 |
| URL | https://arxiv.org/abs/2601.09160 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
When a thin film is deposited on an incompatible elastic substrate, the film develops an elastic mismatch strain, causing the film-substrate system to bend. Stoney's equation relates the curvature of the bent film-substrate system with the residual stress developed in the film, and can be used to infer film properties from curvature measurements. Certain materials exhibit electromechanical coupling, such as piezoelectricity and flexoelectricity, which can alter the curvature and strains. In this work, we generalize Stoney's equation to include flexoelectric and piezoelectric effects in the film. Considering both open and closed circuit configurations, as well as uniform and non-uniform film properties, we compare different cases of electromechanical coupling and discuss their influence on curvature, strains, and electric polarization in the film.
{
"annotation_id": "2cc87260-b065-4488-9874-67289c6cf0fa",
"date_created": "2026-02-17T05:53:20.073000Z",
"date_modified": "2026-02-17T05:53:20.073000Z",
"file_hash": "438216a16dda6c065b81aa1763c11730bb393ceb117fba410c8466b23b4dd950",
"private": false,
"record": {
"abstract": "When a thin film is deposited on an incompatible elastic substrate, the film develops an elastic mismatch strain, causing the film-substrate system to bend. Stoney\u0027s equation relates the curvature of the bent film-substrate system with the residual stress developed in the film, and can be used to infer film properties from curvature measurements. Certain materials exhibit electromechanical coupling, such as piezoelectricity and flexoelectricity, which can alter the curvature and strains. In this work, we generalize Stoney\u0027s equation to include flexoelectric and piezoelectric effects in the film. Considering both open and closed circuit configurations, as well as uniform and non-uniform film properties, we compare different cases of electromechanical coupling and discuss their influence on curvature, strains, and electric polarization in the film.",
"arxiv_id": "2601.09160",
"authors": [
"Swarnava Ghosh"
],
"categories": [
"physics.app-ph"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Generalization of Stoney\u0027s equation for flexoelectric thin films on elastic substrates",
"url": "https://arxiv.org/abs/2601.09160",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5847f7be-72f5-4d01-9306-401b36a10858",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}