Generalization of Stoney's equation for flexoelectric thin films on elastic substrates

Fuente: arXiv
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Autore principale: Ghosh, Swarnava
Natura: Preprint
Pubblicazione: 2026
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author Ghosh, Swarnava
author_facet Ghosh, Swarnava
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_09160
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Generalization of Stoney's equation for flexoelectric thin films on elastic substrates
Ghosh, Swarnava
Applied Physics
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.
title Generalization of Stoney's equation for flexoelectric thin films on elastic substrates
topic Applied Physics
url https://arxiv.org/abs/2601.09160