English
Related papers

Related papers: A peridynamic approach to flexoelectricity

200 papers

Symmetry breaking at surfaces and interfaces and the capability to support large strain gradients in nanoscale systems enable new forms of electromechanical coupling. Here we introduce the concept of quantum flexoelectricity, a phenomenon…

Materials Science · Physics 2009-11-13 Sergei V. Kalinin , Vincent Meunien

Large deviations of conservative interacting particle systems, such as the zero range process, about their hydrodynamic limit and their respective rate functions lead to the analysis of the skeleton equation; a degenerate…

Probability · Mathematics 2022-03-16 Benjamin Fehrman , Benjamin Gess

Starting from the random phase approximation for the weakly coupled multiband tightly-bounded electron systems, we calculate the dielectric matrix in terms of intraband and interband transitions. The advantages of this representation with…

Condensed Matter · Physics 2016-08-31 P. Zupanovic , A. Bjelis , S. Barisic

Exact equations describing flexoelectric deformation in solids, derived previously within the framework of a continuum media theory, are partial differential equations of the fourth order. They are too complex to be used in the cases…

Materials Science · Physics 2014-04-21 A. S. Yurkov

A state-based peridynamic formulation for linear elastic shells is presented. The emphasis is on introducing, possibly for the first time, a general surface based peridynamic model to represent the deformation characteristics of structures…

Computational Physics · Physics 2015-08-04 Shubhankar Roy Chowdhury , Pranesh Roy , Debasish Roy , J. N. Reddy

Mesogenic dimers in the twist-bend nematic phase exhibit much higher flexoelectric polarization than in their uniform nematic phase. In order to theoretically investigate this data, we extend the symmetry based linear elastic theory of the…

Soft Condensed Matter · Physics 2019-07-16 I. Lelidis , E. Kume

Peridynamics (PD) is a non-local continuum formulation. The original version of PD was restricted to bond-based interactions. Bond-based PD is geometrically exact and its kinematics are similar to classical continuum mechanics (CCM).…

Computational Engineering, Finance, and Science · Computer Science 2020-04-30 A. Javili , S. Firooz , A. T. McBride , P. Steinmann

In this paper we study the surface effects that bulk flexoelectric models in finite samples exhibit. We first show that when the body is infinite, flexoelectric materials do not exhibit electromechanical response under homogeneous loading.…

Materials Science · Physics 2025-01-30 H. Mohammadi , F. Greco , D. Codony , I. Arias

The peridynamic theory brings advantages in dealing with discontinuities, dynamic loading, and non-locality. The integro-differential formulation of peridynamics poses challenges to numerical solutions of complicated and practical problems.…

Numerical Analysis · Mathematics 2021-06-01 Xue Liang , Linjuan Wang , Jifeng Xu , Jianxiang Wang

Piezoelectric appliances have become hugely important in the past century and computer simulations play an essential part in the modern design process thereof. While much work has been invested into the practical simulation of piezoelectric…

Analysis of PDEs · Mathematics 2019-07-11 Benjamin Jurgelucks , Tom Lahmer , Veronika Schulze

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

A full selfconsistent set of equations is deduced to describe the kinetics and dynamics of charged quasiparticles (electrons, holes etc.) with arbitrary dispersion law in crystalline solids subjected to time-varying deformations. The set…

Condensed Matter · Physics 2007-05-23 Dimitar I. Pushkarov

A self-consistent theory for the classical description of the interaction of light and matter at the nano-scale is presented, which takes into account spatial dispersion. Up to now, the Maxwell equations in nanostructured materials with…

Optics · Physics 2020-10-07 J. V. Alvarez , Bahram Djafari-Rouhani , Dani Torrent

A microscopic view of the response of the electric dipoles to a dynamic external field in a ferroelectric (FE) chain has been studied by two spin dynamics methods. One is the prominent micromagnetic approach, and the other is the…

Mesoscale and Nanoscale Physics · Physics 2015-12-08 Zidong Wang , Malcolm J. Grimson

The fluid-solid-electric dynamics of a flexible plate covered by interconnected piezoelectric patches in an axial steady flow are investigated using numerical simulations based on a reduced-order model of the fluid loading for slender…

Fluid Dynamics · Physics 2016-12-19 Y. Xia , O. Doare , S. Michelin

In this paper, the convergence of the solutions for a discretized linear state-based static peridynamic system to the corresponding continuous solution is analytically proven. To obtain an implementable model, we further apply…

Numerical Analysis · Mathematics 2026-03-04 Lukas Pflug , Michael Stingl , Max Zetzmann

The role of defects in solids of mixed ionic-covalent bonds such as ferroelectric oxides is complex. Current understanding of defects on ferroelectric properties at the single-defect level remains mostly at the empirical level, and the…

Materials Science · Physics 2017-09-13 Shi Liu , R. E. Cohen

A review of the present state of investigations of the pseudospin-electron model (PEM), which is used in the theory of strongly correlated electron systems, is given. The model is used to describe the systems with the locally anharmonic…

Strongly Correlated Electrons · Physics 2016-11-23 Ihor Stasyuk

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

We develop a comprehensive continuum model capable of treating both electrostatic and structural interactions in liquid dielectrics. Starting from a two-order parameter description in terms of charge density and polarization, we derive a…

Soft Condensed Matter · Physics 2023-02-08 Ralf Blossey , Rudolf Podgornik