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Building on recent developments in electronic-structure methods, we define and calculate the flexoelectric response of two-dimensional (2D) materials fully from first principles. In particular, we show that the open-circuit voltage response…

Mesoscale and Nanoscale Physics · Physics 2021-12-01 Matteo Springolo , Miquel Royo , Massimiliano Stengel

Thermal lattice expansion of the Invar Fe65Ni35 alloy is investigated in first-principles calculations using the spin-wave method, which is generalized here for the ferromagnetic state with short range order. It is shown that magnetic…

Materials Science · Physics 2017-05-31 Andrei V. Ruban

We derive strain-gradient plasticity from a nonlocal phase-field model of dislocations in a plane. Both a continuous energy with linear growth depending on a measure which characterizes the macroscopic dislocation density and a nonlocal…

Analysis of PDEs · Mathematics 2020-09-08 Sergio Conti , Adriana Garroni , Stefan Muller

Flexoelectricity phenomenon is the response of electric polarization to an applied strain gradient and is developed as a consequence of crystal symmetry in all materials. In this study, we show that the presence of strain gradient in…

Computational Physics · Physics 2017-03-03 S. I. Kundalwal , S. A. Meguid , G. J. Weng

The modeling of the elastic properties of disordered or nanoscale solids requires the foundations of the theory of elasticity to be revisited, as one explores scales at which this theory may no longer hold. The only cases for which…

Materials Science · Physics 2007-05-23 I. Goldhirsch , C. Goldenberg

We developed a theoretical scheme of incorporating the magnetoelastic contribution into the thermal elastic dynamics for the thin membranes of 2D antiferromagnetic material with restricted geometry. We extended the elastic Gr\"uneisen…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Xiang Zhang , Makars Siskins , Yaroslav Blanter

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

The recent discovery of bone flexoelectricity (electrical polarization induced by strain gradient) suggests that flexoelectricity could have physiological effects in bones, and specifically near bone fractures, where flexoelectricity is…

Tissues and Organs · Quantitative Biology 2020-01-27 Raquel Núñez-Toldrà , Fabian Vasquez-Sancho , Nathalie Barroca , Gustau Catalan

It has been well known that flexoelectricity can be exploited to generate an analogous piezoelectric response in non-piezoelectric materials. For the direct flexoelectric effect, the induced electric polarization is linearly proportional to…

Materials Science · Physics 2013-11-21 Sivapalan Baskaran , Xiangtong He , John Y. Fu

This study presents a fractional-order continuum mechanics approach that allows combining selected characteristics of nonlocal elasticity, typical of classical integral and gradient formulations, under a single frame-invariant framework.…

Numerical Analysis · Mathematics 2020-05-21 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

In this work, a higher-order irrotational strain gradient plasticity theory is studied in the small strain regime. A detailed numerical study is based on the problem of simple shear of a non-homogeneous block comprising an elastic-plastic…

Materials Science · Physics 2019-06-26 Nothando Mhlongo , B Daya Reddy

Recent experimental results on the static or quasistatic response of granular materials have been interpreted to suggest the inapplicability of the traditional engineering approaches, which are based on elasto-plastic models (which are…

Soft Condensed Matter · Physics 2007-05-23 Chay Goldenberg , Isaac Goldhirsch

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

Analysis of PDEs · Mathematics 2025-02-05 Tomáš Roubíček

The coupling of excited states and ionic dynamics is the basic and challenging point for the materials response at extreme conditions. In laboratory, the intense laser produces transient nature and complexity with highly nonequilibrium…

Computational Physics · Physics 2023-11-27 Qiyu Zeng , Bo Chen , Shen Zhang , Dongdong Kang , Han Wang , Xiaoxiang Yu , Jiayu Dai

We report first-principle atomistic simulations on the effect of local strain gradients on the nanoscale domain morphology of free-standing PbTiO$_3$ ultrathin films. First, the ferroelectric properties of free films at the atomic level are…

Materials Science · Physics 2015-06-22 G. D. Belletti , S. D. Dalosto , Silvia Tinte

A rectangular plate of dielectric elastomer exhibiting gradients of material properties through its thickness will deform inhomogeneously when a potential difference is applied to compliant electrodes on its major surfaces, because each…

Soft Condensed Matter · Physics 2020-12-08 Yipin Su , Ray W. Ogden , Michel Destrade

Flexoelectricity, polarization induced by strain gradients, is especially pronounced in two-dimensional (2D) materials due to their mechanical flexibility and sensitivity to mechanical deformation. In nanostructures with sub-nm curvature,…

We present a procedure to map the constitutive laws of elasticity (both in the linear and nonlinear regime) onto a discrete atomic lattice and we apply the resulting elastic lattice model to investigate the strain field within an embedded…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Pier Luca Palla , Stefano Giordano , Luciano Colombo

First-principles modeling of ferroelectric capacitors presents several technical challenges, due to the coexistence of metallic electrodes, long-range electrostatic forces and short-range interface chemistry. Here we show how these aspects…

Materials Science · Physics 2011-03-03 Massimiliano Stengel , David Vanderbilt , Nicola A. Spaldin

A hydroelastic problem of flexural--gravity waves scattering by a demarcation between two floating elastic plates is investigated within the frame of linear potential-flow theory, where the method of matched eigenfunction expansions is…

Fluid Dynamics · Physics 2017-04-20 Q. R. Meng , D. Q. Lu