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{{Short description|Property of a dielectric material that exhibits electrical polarization induced by a strain gradient}} |
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'''Flexoelectricity''' is a property of a [[dielectric]] material whereby it exhibits a spontaneous electrical polarization induced by a [[Deformation_(mechanics)#Strain|strain]] gradient. Flexoelectricity is closely related to [[piezoelectricity]], but while piezoelectricity refers to polarization due to uniform strain, flexoelectricity refers specifically to polarization due to strain that changes from point to point in the material. This nonuniform strain breaks [[centrosymmetry]], meaning that unlike in piezoelectiricty, flexoelectric effects can occur in centrosymmetric crystal structures.<ref>{{Cite journal|title=Flexoelectric Effect in Solids|journal = [[Annual Review of Materials Research]]|volume = 43|pages = 387–421|author= Pavlo Zubko, Gustau Catalan, and Alexander K. Tagantsev|date=2013|doi = 10.1146/annurev-matsci-071312-121634| bibcode=2013AnRMS..43..387Z |hdl = 10261/99362|hdl-access = free}}</ref> Flexoelectricity is not the same as [[Ferroelasticity]]. |
'''Flexoelectricity''' is a property of a [[dielectric]] material whereby it exhibits a spontaneous electrical polarization induced by a [[Deformation_(mechanics)#Strain|strain]] gradient. Flexoelectricity is closely related to [[piezoelectricity]], but while piezoelectricity refers to polarization due to uniform strain, flexoelectricity refers specifically to polarization due to strain that changes from point to point in the material. This nonuniform strain breaks [[centrosymmetry]], meaning that unlike in piezoelectiricty, flexoelectric effects can occur in centrosymmetric crystal structures.<ref>{{Cite journal|title=Flexoelectric Effect in Solids|journal = [[Annual Review of Materials Research]]|volume = 43|pages = 387–421|author= Pavlo Zubko, Gustau Catalan, and Alexander K. Tagantsev|date=2013|doi = 10.1146/annurev-matsci-071312-121634| bibcode=2013AnRMS..43..387Z |hdl = 10261/99362|hdl-access = free}}</ref> Flexoelectricity is not the same as [[Ferroelasticity]]. |
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Flexoelectricity is a property of a dielectric material whereby it exhibits a spontaneous electrical polarization induced by a strain gradient. Flexoelectricity is closely related to piezoelectricity, but while piezoelectricity refers to polarization due to uniform strain, flexoelectricity refers specifically to polarization due to strain that changes from point to point in the material. This nonuniform strain breaks centrosymmetry, meaning that unlike in piezoelectiricty, flexoelectric effects can occur in centrosymmetric crystal structures.[1] Flexoelectricity is not the same as Ferroelasticity. Inverse flexoelectricity, quite intuitively can be defined as generation of strain gradient due to polarization. Similarly extending on that, Converse flexoelectricity would refer to the process where a polarization gradient induces strain in a material.[2]
The electric polarization due to mechanical strainof in a dielectric is given by
where the first term corresponds to the direct piezoelectric effect and the second term corresponds to the flexoelectric polarization induced by the strain gradient.
Here, the flexoelectric coefficient, , is a fourth-rank polar tensor and is the coefficient corresponding to the direct piezoelectric effect.
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