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An initial-boundary value problem for the multidimensional type III thermoelaticity for a nonsimple material with a center of symmetry is considered. In the linear case, the well-posedness with and without Kelvin-Voigt and/or frictional…

Analysis of PDEs · Mathematics 2016-05-09 Andrii Anikushyn , Michael Pokojovy

Recent years have seen tremendous progress in experimental techniques to create uniaxial strain. Motivated by these advances we investigate the effect of uniaxial strain on LaMnO$_3$ employing ab-initio dynamical mean-field theory, and put…

Strongly Correlated Electrons · Physics 2024-02-23 Florian P. Lindner , Markus Aichhorn , Hrishit Banerjee

Electrostriction is an important material property that characterizes how strain changes with the development of polarization inside a material. We show that \textit{ab initio }techniques developed in recent years can be exploited to…

Materials Science · Physics 2016-06-24 Z. Jiang , R. Zhang , F. Li , L. Jin , N. Zhang , D. Wang , C. -L. Jia

In soft matter systems the local displacement field can be accessed directly by video microscopy enabling one to compute local strain fields and hence the elastic moduli using a coarse-graining procedure. We study this process for a simple…

Soft Condensed Matter · Physics 2015-05-14 K. Franzrahe , P. Nielaba , S. Sengupta

We present theoretical studies for the third-order elastic constants $C_{ijk}$ in zinc-blende nitrides AlN, GaN, and InN. Our predictions for these compounds are based on detailed ab initio calculations of strain-energy and strain-stress…

Materials Science · Physics 2009-11-13 Michal Lopuszynski , Jacek A. Majewski

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

Electro-hydrodynamic phenomena in liquid crystals constitute an old but still very active research area. The reason is that these phenomena play the key role in various applications of liquid crystals and due to the general interest of…

Soft Condensed Matter · Physics 2024-03-14 E. S. Pikina , A. R. Muratov , E. I. Kats , V. V. Lebedev

Flexoelectricity - polarization induced by strain gradients - offers a route to polar functionality in centrosymmetric dielectrics, where traditional piezoelectric effects are absent. This study investigates the flexoelectric effect in…

Using the modified Landau-Ginsburg-Devonshire thermodynamic theory, it is found that the coupling between stress gradient and polarization, or flexoelectricity, has significant effect on ferroelectric properties of epitaxial thin films,…

Materials Science · Physics 2012-08-13 Hao Zhou , Jiawang Hong , Yihui Zhang , Faxin Li , Yongmao Pei , Daining Fang

This study addresses the modelling of elastic bodies, particularly when the relaxed configuration is unknown or non-existent. We adopt the theory of initially stressed materials, incorporating the deformation gradient and stress state of…

Soft Condensed Matter · Physics 2024-11-28 M. Magri , D. Riccobelli

Nanometer-scale modulations can spontaneously emerge in complex materials when multiple degrees of freedom interact. Here we demonstrate that ferroelectric Sr$_{1-x}$Ca$_x$TiO$_3$ lies in close proximity to an incipient structurally…

The elastic response is studied of a single flexible chain grafted on a rigid plane and an ensemble of non-interacting tethered chains. It is demonstrated that the entropic theory of rubber elasticity leads to conclusions that disagree with…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

In this paper we introduce a new mathematical model for the active contraction of cardiac muscle, featuring different thermo-electric and nonlinear conductivity properties. The passive hyperelastic response of the tissue is described by an…

Tissues and Organs · Quantitative Biology 2019-05-02 Ricardo Ruiz Baier , Alessio Gizzi , Alessandro Loppini , Christian Cherubini , Simonetta Filippi

Ferroelectricity has been found to occur in several insulating systems, such as TbMnO$_3$ (TMO) and Ni$_3$V$_2$O$_8$ (NVO) which have more than one phase with incommensurately modulated long-range magnetic order. Here we give a…

Materials Science · Physics 2009-11-11 A. Brooks Harris

Using the Landau Ginzburg Devonshire theory and scalar approximation, we derived analytical expressions for the singular points (zeros, complex ranges) of the acoustic phonon mode (A mode) frequency in dependence on the wave vector k and…

Materials Science · Physics 2017-10-04 Anna N. Morozovska , Maya D. Glinchuk , Eugene A. Eliseev , Yulian M. Vysochanskii

Floquet-Bloch wave asymptotics is used to homogenize the in-plane mechanical response of a periodic grillage of elastic Rayleigh rods, possessing a distributed mass density, together with rotational inertia. The grid is subject to…

Classical Physics · Physics 2021-03-22 G. Bordiga , L. Cabras , A. Piccolroaz , D. Bigoni

Understanding the nature of brittle failure in ferroelectric materials is essential, but difficult due to the complex interaction between mechanical and electrical concentrated fields near the crack tip. In this work, an extended…

Materials Science · Physics 2024-05-22 Chang Liu , Yu Tan , Yong Zhang , Zhaoyi Liu , Takahiro Shimada , Xiangyu Li , Jie Wang

Time-dependent density functional theory, proposed recently in the context of atomic diffusion and non-equilibrium processes in solids, is tested against Monte Carlo simulation. In order to assess the basic approximation of that theory, the…

Statistical Mechanics · Physics 2009-11-07 M. Kessler , W. Dieterich , H. L. Frisch , J. F. Gouyet , P. Maass

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

Coarse-graining atomic displacements in a solid produces both local affine strains and "non-affine" fluctuations. Here we study the equilibrium dynamics of these coarse grained quantities to obtain space-time dependent correlation…

Soft Condensed Matter · Physics 2017-01-24 Saswati Ganguly , Surajit Sengupta , Peter Sollich
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