Computational evaluation of the flexoelectric effect in dielectric solids

Amir Abdollahi, Christian Peco Regales, Daniel Millán, Marino Arroyo, Irene Arias

Research output: Contribution to journalArticle

50 Citations (Scopus)

Abstract

Flexoelectricity is a size-dependent electromechanical mechanism coupling polarization and strain gradient. It exists in a wide variety of materials, and is most noticeable for nanoscale objects, where strain gradients are higher. Simulations are important to understand flexoelectricity because experiments at very small scales are difficult, and analytical solutions are scarce. Here, we computationally evaluate the role of flexoelectricity in the electromechanical response of linear dielectric solids in two-dimensions. We deal with the higher-order coupled partial differential equations using smooth meshfree basis functions in a Galerkin method, which allows us to consider general geometries and boundary conditions. We focus on the most common setups to quantify the flexoelectric response, namely, bending of cantilever beams and compression of truncated pyramids, which are generally interpreted through approximate solutions. While these approximations capture the size-dependent flexoelectric electromechanical coupling, we show that they only provide order-of-magnitude estimates as compared with a solution fully accounting for the multidimensional nature of the problem. We discuss the flexoelectric mechanism behind the enhanced size-dependent elasticity in beam configurations. We show that this mechanism is also responsible for the actuation of beams under purely electrical loading, supporting the idea that a mechanical flexoelectric sensor also behaves as an actuator. The predicted actuation-induced curvature is in a good agreement with experimental results. The truncated pyramid configuration highlights the critical role of geometry and boundary conditions on the effective electromechanical response. Our results suggest that computer simulations can help understanding and quantifying the physical properties of flexoelectric devices.

Original languageEnglish (US)
Article number093502
JournalJournal of Applied Physics
Volume116
Issue number9
DOIs
StatePublished - Jan 1 2014

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pyramids
actuation
evaluation
boundary conditions
gradients
cantilever beams
Galerkin method
geometry
configurations
partial differential equations
elastic properties
physical properties
computerized simulation
actuators
curvature
sensors
polarization
estimates
approximation
simulation

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Abdollahi, Amir ; Peco Regales, Christian ; Millán, Daniel ; Arroyo, Marino ; Arias, Irene. / Computational evaluation of the flexoelectric effect in dielectric solids. In: Journal of Applied Physics. 2014 ; Vol. 116, No. 9.
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Computational evaluation of the flexoelectric effect in dielectric solids. / Abdollahi, Amir; Peco Regales, Christian; Millán, Daniel; Arroyo, Marino; Arias, Irene.

In: Journal of Applied Physics, Vol. 116, No. 9, 093502, 01.01.2014.

Research output: Contribution to journalArticle

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