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Flexoelectric effect is the coupling between strain, polarization and their gradients, which are prominent at the nanoscale. Although this effect is important to understand nanostructures, such as domain walls in ferroelectrics, its…

Materials Science · Physics 2018-01-17 Yu-Jia Wang , Jiangyu Li , Yin-Lian Zhu , Xiu-Liang Ma

Flexoelectricity is a universal effect that generates electric polarization due to broken inversion symmetry caused by local strain gradient. The large strain gradient at nanoscale makes flexo-electric effects, especially in nanoscopic…

Materials Science · Physics 2025-05-30 Xin Li , Guodong Ren , Yu Yun , Arashdeep Singh Thind , Amit Kumar Shah , Abbey Bowers , Rohan Mishra , Xiaoshan Xu

A strong coupling between electric polarization and elastic deformation in solids is an important factor in creating useful electromechanical nanodevices. Such coupling is typically allowed in insulating materials with inversion symmetry…

Materials Science · Physics 2024-10-30 Hidefumi Takahashi , Yusuke Kurosaka , Kenta Kimura , Akitoshi Nakano , Shintaro Ishiwata

Flexoelectricity is characterised by the coupling of the gradient of the deformation and the electrical polarization in a dielectric material. A novel micromorphic approach is presented to accommodate the resulting higher-order gradient…

Classical Physics · Physics 2023-07-19 Andrew McBride , Denis Davydov , Paul Steinmann

Soft robotics requires materials that are capable of large deformation and amenable to actuation with external stimuli such as electric fields. Energy harvesting, biomedical devices, flexible electronics and sensors are some other…

Soft Condensed Matter · Physics 2021-05-27 Matthew Grasinger , Kosar Mozaffari , Pradeep Sharma

Flexoelectricity, a coupling between strain gradients and electric polarization, has attracted significant interest due to its critical role in enhanced effects at small scales and its applicability across a diverse range of materials.…

Computational Physics · Physics 2025-02-28 Arash Kazemi , Kshiteej J Deshmukh , Susan Trolier-McKinstry , Shad Roundy

The flexoelectric (FE) effect provides a linear coupling between electric polarization and orientational deformation in liquid crystals. It influences many electrooptical phenomena and it is used in some bistable nematic devices. A…

Soft Condensed Matter · Physics 2023-07-19 A. Kapanowski

This paper develops the equilibrium equations describing the flexoelectric effect in soft dielectrics under large deformations. Previous works have developed related theories using a flexoelectric coupling tensor of mixed material-spatial…

Computational Physics · Physics 2020-12-02 David Codony , Prakhar Gupta , Onofre Marco , Irene Arias

Flexocoupling impact on the size effects of the spontaneous polarization, effective piezo-response, elastic strain and compliance, carrier concentration and piezo-conductance have been calculated in thin films of ferroelectric…

The impact of flexoelectric coupling on polarization reversal kinetics and space charge dynamics in thin films of ferroelectric-semiconductors has been theoretically studied. The relaxation-type Landau-Khalatnikov equation together with the…

Materials Science · Physics 2017-01-18 Ivan S. Vorotiahin , Anna N. Morozovska , Eugene A. Eliseev , Yuri A. Genenko

We present a novel formulation for calculating the transversal flexoelectric coefficient of nanostructures at finite deformations from first principles. Specifically, we introduce the concept of \emph{radial polarization} to make the…

Materials Science · Physics 2021-03-17 David Codony , Irene Arias , Phanish Suryanarayana

In this work, we present a compactly supported radial basis function (CSRBF) based meshfree method to analyse geometrically nonlinear flexoelectric nanostructures considering surface effects. Flexoelectricity is the polarization of…

Computational Physics · Physics 2019-11-18 Xiaoying Zhuang , S. S. Nanthakumar , Timon Rabczuk

Flexoelectricity, an electromechanical coupling between strain gradient and polarization, offers a promising dimension to enrich silicon-based devices. Although the flexoelectricity of silicon is known, some fundamental aspects remain…

Materials Science · Physics 2025-06-26 Lingtong Lv , Qianqian Ma , Kailu Wang , Xin Wen , Shengping Shen

This review examines the conditions that lead to the formation of flexo-sensitive chiral polar structures in thin films and core-shell ferroelectric nanoparticles. It also analyzes possible mechanisms by which the flexoelectric effect…

We consider theoretically the influence of the flexoelectric coupling on the spatial distribution and temperature behavior of spontaneous polarization for several types of stable domain structure in thin ferroelectric films, such as stripe…

Materials Science · Physics 2021-08-25 Anna N. Morozovska , Eugene A. Eliseev , Sergei V. Kalinin , Riccardo Hertel

Electric field dependent mechanical properties of relaxor ferroelectric material Pb(Mn1/3Nb2/3)O3-PbTiO3 are investigated with the nanoindentation technique. Giant electric-field-tunable apparent elastic modulus (up to -39%), hardness (-9%…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 Hao Zhou , Yongmao Pei , Faxin Li , Haosu Luo , Daining Fang

Flexoelectricity describes the coupling between polarization and strain/stress gradients in insulating crystals. In this paper, using the Landau-Ginsburg-Devonshire phenomenological approach, we found that flexoelectricity could increase…

Materials Science · Physics 2015-06-04 Hao Zhou , Jiawang Hong , Yihui Zhang , Faxin Li , Yongmao Pei , Daining Fang

Because of the flexoelectric effect, dielectric materials usually polarize in response to a strain gradient. Soft materials are good candidates for developing large strain gradient because of their good deformability. However, they always…

Soft Condensed Matter · Physics 2019-04-17 Xin Wen , Dongfan Li , Kai Tan , Qian Deng , Shengping Shen

Within the framework of the Landau-Ginzburg-Devonshire approach we explore the impact of elastic anisotropy, electrostriction, flexoelectric couplings, and mismatch strain on the domain structure morphology in ferroelectric core-shell…

In the review we briefly analyze the state-of-art in the theory of flexoelectric phenomena and analyze how significantly the flexoelectric coupling can change the polar order parameter distribution in different ferroics and liquid crystals.…