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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

Strain gradient elasticity and nonlocal elasticity are two enhanced elastic theories intensively used over the last fifty years to explain static and dynamic phenomena that classical elasticity fails to do. The nonlocal elastic theory has a…

Materials Science · Physics 2022-10-19 T. Gortsas , D. G. Aggelis , D. Polyzos

First-principles density functional calculations are performed to investigate the interplay between inplane strains and interface effects in 1by1 PbTiO3/SrTiO3 and BaTiO3/SrTiO3 superlattices of tetragonal symmetry. One particular emphasis…

Materials Science · Physics 2010-04-19 Yanpeng Yao , Huaxiang Fu

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

The flexoelectric and electronic properties of zig-zag graphene nanoribbons are explored under mechanical bending using state of the art first principles calculations. A linear dependence of the bending induced out of plane polarization on…

Materials Science · Physics 2021-06-03 Tribhuwan Pandey , Lucian Covaci , Francois M. Peeters

When describing elastic deformations of a body sometimes it is worth to take in account elastic spatial dispersion. If spatial dispersion is weak, as usually happens, then it can be reduced to dependence of thermodynamic potential on strain…

Materials Science · Physics 2015-04-23 A. S. Yurkov

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

The flexoelectric effect refers to polarization induced in an insulator when a strain gradient is applied. We have developed a first-principles methodology based on density-functional perturbation theory to calculate the elements of the…

Materials Science · Physics 2018-09-10 Cyrus E. Dreyer , Massimiliano Stengel , David Vanderbilt

Flexoelectricity is a type of ubiquitous and prominent electromechanical coupling, pertaining to the response of electrical polarization to mechanical strain gradients while not restricted to the symmetry of materials. However, large…

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann

We consider a standard Ginzburg-Landau model of a ferroelectric whose electrical polarization is coupled to gradients of elastic strain. At the harmonic level, such flexoelectric interaction is known to hybridize acoustic and optic phonon…

Materials Science · Physics 2023-07-27 G. G. Guzmán-Verri , C. H. Liang , P. B. Littlewood

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

Spin fluctuations have a substantial influence on the electron and lattice behaviors in magnetic materials, which, however, is difficult to be tracked properly by prevalent first-principles methods. We propose a versatile self-adaptive…

Materials Science · Physics 2023-02-14 Zefeng Cai , Ke Wang , Yong Xu , Su-Huai Wei , Ben Xu

Piezoelectricity is inherent only in noncentrosymmetric materials, but a piezoelectric response can also be obtained in centrosymmetric crystals if subjected to inhomogeneous deformation. This phenomenon, known as flexoelectricity, affects…

Materials Science · Physics 2007-10-22 P. Zubko , G. Catalan , A. Buckley , P. R. L. Welche , J. F. Scott

A new microscopic derivation of the elastic constants of amorphous solids is presented within the framework of nonaffine lattice dynamics, which makes use of a perturbative form of the low-frequency eigenvectors of the dynamical matrix…

Soft Condensed Matter · Physics 2024-08-06 Bingyu Cui , Giancarlo Ruocco , Alessio Zaccone

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

Flexoelectricity (coupling between polarization and strain gradients) is a property of all dielectric materials that has been theoretically known for decades, but it is only relatively recently that it has begun to attract experimental…

Materials Science · Physics 2018-10-17 P. Vales-Castro , Krystian Roleder , Lei Zhao , Jing-Feng Li , Dariusz Kajewski , Gustau Catalan

The flexoelectric behaviors of solids under high strain gradient can be distinct from that under low strain gradient. Using the generalized Bloch theorem, we investigate theoretically the transversal flexoelectric effects in bent MgO…

Computational Physics · Physics 2021-12-13 Chao He , Jin-Kun Tang , Yang Yang , Kai Chang , Dong-Bo Zhang

The method of many body Green's functions is used to derive algebraic expressions for the different elastic and thermodynamical quantities such as the free energy, internal energy, entropy, heat capacity, elastic constants (adiabatic and…

Other Condensed Matter · Physics 2016-07-12 Ville J. Härkönen

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.…