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Static flexoelectric effect in a finite sample of a solid is addressed in terms of phenomenological theory for the case of a thin plate subjected to bending. It has been shown that despite an explicit asymmetry inherent to the bulk…

Materials Science · Physics 2015-05-30 Alexander K. Tagantsev , Alexander S. Yurkov

In the framework of a continuum theory, it is shown that the direct flexoelectric response of a finite sample essentially depends on the surface polarization energy, even in the thermodynamic limit where the body size tends to infinity. It…

Materials Science · Physics 2019-01-16 A. S. Yurkov , A. K. Tagantsev

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

In many cases the correct theoretical description of flexoelectricity requires the consideration of the finite size of a body and is reduced to the solution of boundary problems for partial differential equations. Generally speaking, in…

Materials Science · Physics 2015-01-20 A. S. Yurkov

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

Flexoelectricity is the linear response of polarization to a strain gradient. Here we address the simplest class of dielectrics, namely elemental cubic crystals, and we prove that therein there is no extrinsic (i.e. surface) contribution to…

Materials Science · Physics 2010-11-09 R. Resta

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

Metals exhibit a size-dependent hardening when subject to indentation. Mechanisms for this phenomenon have been intensely researched in recent times. Does such a size-effect also exist in the electromechanical behavior of…

Materials Science · Physics 2015-05-13 M. Gharbi , Z. H. Sun , P. Sharma , K. White

A centrosymmetric stress cannot induce a polar response in centric materials, piezoelectricity is, for example, possible only in non-centrosymmetric structures. An exception is meta-materials with shape asymmetry, which may be polarized by…

Materials Science · Physics 2017-07-18 Alberto Biancoli , Chris M. Fancher , Jacob L. Jones , Dragan Damjanovic

In this work we analyze the finite-size effects on the structural properties and on the polarization of the rhombohedral phase of HfO$_2$ subjected to a biaxial compressive strain. We show how the presence of surface charges affects the…

Materials Science · Physics 2022-10-12 Francesco Delodovici , Paolo Barone , Silvia Picozzi

The problem of finding the elastic strains arising due to the converse flexoelectric effect is solved for a case of uniformly polarized ball of isotropic dielectric material. The strains occurs due to the fact that, as shown in a previous…

Materials Science · Physics 2013-04-09 A. S. Yurkov

In this study, an analytical solution is presented for thermo-electro-elastic analysis of piezoelectric semi-infinite bodies. For this purpose, governing equations are derived for a transversely isotropic piezoelectric material under…

Materials Science · Physics 2013-05-16 M. H. Kargarnovin , R. Hashemi , M. Hashemi , H. Sadeghi

Dielectric nano-swithes made of the materials that exhibit piezoelectric and/or flexoelectric properties with significant electro-mechanical coupling are considered. In this case, a nonuniform strain field may locally break inversion…

Materials Science · Physics 2010-02-16 M. M. Toropova

The polarization response of a material to a strain gradient, known as flexoelectricity, holds great promise for novel electromechanical applications. Despite considerable recent progress, however, the effect remains poorly understood. From…

Materials Science · Physics 2014-12-03 Massimiliano Stengel

Flexoelectricity induced by strain gradient in dielectrics is highly desirable for electromechanical actuating and sensing systems. It is broadly adopted that flexoelectric polarization responds linearly to strain gradient without…

Materials Science · Physics 2025-04-03 Yingzhuo Lun , Yida Yang , Tingjun Wang , Qi Ren , Sang-Wook Cheong , Xueyun Wang , Jiawang Hong

Non-conductive materials like rubbers, plastics, ceramics, and even semiconductors have the property of flexoelectricity, which means that they can generate electricity when bent and twisted. However, an irregular shape or a peculiar load…

Applied Physics · Physics 2021-04-07 Mingyuan Zhang , Dongze Yan , Jianxiang Wang , Li-Hua Shao

Surface effects on the electronic energy loss of charged particles entering a metal surface are investigated within linear-response theory, in the framework of time-dependent density functional theory. Interesting phenomena occur in the…

Materials Science · Physics 2007-05-23 A. Garcia-Lekue , J. M. Pitarke

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…

It is highly desirable to discover an electromechanical coupling that allows a dielectric material to generate curvature in response to a uniform electric field, which would add a new degree of freedom for designing actuators.…

Soft Condensed Matter · Physics 2021-01-27 X. Wen , K. Tan , Q. Deng , S. Shen

Using the symmetry theory we analyze of the flexomagnetic effect in all 90 magnetic classes and showed that 69 of them are flexomagnetic. Then we explore how the symmetry breaking, inevitably present in the vicinity of the surface, changes…

Materials Science · Physics 2013-05-29 E. A. Eliseev , M. D. Glinchuk , V. Khist V. V. Skorokhod , R. Blinc , A. N. Morozovska
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