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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

We present a first-principles study of the relationship between stress, temperature and electronic properties in piezoelectric ZnO. Our method is a plane wave pseudopotential implementation of density functional theory and density…

Materials Science · Physics 2009-10-31 Nicola A. Hill , Umesh Waghmare

In this article, we motivate the detailed comparison of the physical properties of individual configurations of a ferroelectric solid solution as a means toward developing first principles models for these systems. We compare energies,…

Materials Science · Physics 2009-10-31 Eric Cockayne , Karin M. Rabe

Piezoelectric devices, such as piezoelectric traveling wave rotary ultrasonic motors, have composite piezoelectric structures. A composite piezoelectric structure consists of a combination of two or more bonded materials, where at least one…

Numerical Analysis · Mathematics 2011-09-08 Valentin Bolborici , Francis P. Dawson , Mary C. Pugh

A mechanically coupled phase-field model is proposed for the first time to simulate the peculiar behavior of relaxor ferroelectrics. Based on the random field theory for relaxors, local random fields are introduced to characterize the…

Materials Science · Physics 2016-10-23 Shuai Wang , Min Yi , Bai-Xiang Xu

A phenomenological model on the relationship between viscoelasticity and flexoelectricity is proposed to address the electromechanical coupling under rheological processes in viscoelastic materials. Our theoretical studies show that some…

Materials Science · Physics 2013-11-21 John Y. Fu

We consider theoretically the properties of piezoelectricity in cholesteric elastomers. We deduce using symmetry considerations the piezoelectric contributions to the free energy in the context of a coarse-grained description of the…

Condensed Matter · Physics 2009-10-22 Robert A. Pelcovits , Robert B. Meyer

Proximity ferroelectricity is a novel paradigm for inducing ferroelectricity, where a non-ferroelectric polar material, which is unswitchable with an external field below the dielectric breakdown field, becomes a practically switchable…

Electromechanical activity, remanent polarization states, and hysteresis loops in paraelectric TiO2 and SrTiO3 are observed. The coupling between the ionic dynamics and incipient ferroelectricity in these materials is analyzed using…

Ferroelectric devices use their electric polarization ferroic order as the switching and storage physical quantity for memory applications. However, additional built-in physical quantities and memory paradigms are requested for…

Materials Science · Physics 2014-06-16 B. Kundys , V. Iurchuk , C. Meny , H. Majjad , B. Doudin

We investigate dynamic hysteresis and Barkhausen noise in ferromagnetic materials with a huge number of parallel and rigid Bloch domain walls. Considering a disordered ferromagnetic system with strong in-plane uniaxial anisotropy and…

Statistical Mechanics · Physics 2015-05-13 B. Cerruti , G. Durin , S. Zapperi

The simulation of inelastic effects in flexible slender technical devices has become of increasing interest in the past years. Different approaches have been considered depending on the effects relevant for the specific application.…

In the present paper we consider a partial differential system describing a phase-field model with temperature dependent constraint for the order parameter. The system consists of an energy balance equation with a fairly general nonlinear…

Analysis of PDEs · Mathematics 2021-10-01 Chen Bin , Sergey A. Timoshin

We have performed first order reversal curve measurements of the temperature-driven metal-insulator transition in VO$_2$ thin films, which enable quantitative analysis of the hysteresis behavior. An unexpected tail-like feature in the…

Materials Science · Physics 2009-06-12 J. -G. Ramírez , A. Sharoni , Y. Dubi , M. E. Gómez , Ivan K. Schuller

We define two models of hysteresis that generalize the Preisach model. The first model is deterministic, the second model is stochastic and it utilizes disconinuous transition probabilities that satisfy impulsive differential equations. For…

Dynamical Systems · Mathematics 2007-05-23 S. A. Belbas

A state-based micropolar peridynamic theory for linear elastic solids is proposed. The main motivation is to introduce additional micro-rotational degrees of freedom to each material point and thus naturally bring in the physically relevant…

Computational Physics · Physics 2015-08-04 S. Roy Chowdhury , Md Masiur Rahaman , Debasish Roy , Narayan Sundaram

The Stefan PDE system is a representative model for thermal phase change phenomena, such as melting and solidification, arising in numerous science and engineering processes. The mathematical description is given by a Partial Differential…

Optimization and Control · Mathematics 2021-11-24 Shumon Koga , Miroslav Krstic

Some general dynamical properties of models for compaction of granular media based on master equations are analyzed. In particular, a one-dimensional lattice model with short-ranged dynamical constraints is considered. The stationary state…

Statistical Mechanics · Physics 2009-10-31 A. Prados , J. Javier Brey , B. Sanchez-Rey

We study a 2-scale version of the Landau-Lifshitz system of ferromagnetism, introduced by Starynkevitch to modelize hysteresis: the response of the magnetization is fast compared to a slowly varying applied magnetic fi eld. Taking the…

Analysis of PDEs · Mathematics 2011-09-21 Eric Dumas , Stéphane Labbé

Ferroelectric materials underlie key optical technologies in optical communications, integrated optics and quantum computing. Yet, there is a lack of a consistent thermodynamic framework to predict the optical properties of ferroelectrics…

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