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This paper is the second part of a work devoted to the modelling of thin elastic plates with small, periodically distributed piezoelectric inclusions. We consider the equations of linear elasticity coupled with the electrostatic equation,…

Analysis of PDEs · Mathematics 2013-11-06 Eric Canon , Michel Lenczner

Advancement in manufacturing methods enable designing so called metamaterials with a tailor-made microstructure. Microstructure affects materials response within a length-scale, where we model this behavior by using the generalized…

Computational Engineering, Finance, and Science · Computer Science 2022-12-02 Bozo Vazic , Bilen Emek Abali , Pania Newell

Tissue engineering aims to grow artificial tissues \emph{in vitro} to replace those in the body that have been damaged through age, trauma or disease. A recent approach to engineer artificial cartilage involves seeding cells within a…

Soft Condensed Matter · Physics 2017-12-05 M. J. Chen , L. S. Kimpton , J. P. Whiteley , M. Castilho , J. Malda , C. P. Please , S. L. Waters , H. M. Byrne

In this paper we present an extensive study of the thermodynamic properties of the two-dimensional quantum Heisenberg antiferromagnet on the square lattice; the problem is tackled by the pure-quantum self-consistent harmonic approximation,…

Statistical Mechanics · Physics 2009-10-30 Alessandro Cuccoli , Valerio Tognetti , Ruggero Vaia , Paola Verrucchi

We introduce a framework for designing Hamiltonian engineering pulse sequences that systematically accounts for the effects of higher-order contributions to the Floquet-Magnus expansion. Our techniques result in simple, intuitive decoupling…

Quantum Physics · Physics 2024-01-15 Matthew Tyler , Hengyun Zhou , Leigh S. Martin , Nathaniel Leitao , Mikhail D. Lukin

A homogenization result for a family of oscillating integral energies is presented, where the fields under consideration are subjected to first order linear differential constraints depending on the space variable x. The work is based on…

Analysis of PDEs · Mathematics 2016-05-27 Elisa Davoli , Irene Fonseca

A general-purpose computational homogenization framework is proposed for the nonlinear dynamic analysis of membranes exhibiting complex microscale and/or mesoscale heterogeneity characterized by in-plane periodicity that cannot be…

Computational Engineering, Finance, and Science · Computer Science 2021-01-28 Philip Avery , Daniel Z. Huang , Wanli He , Johanna Ehlers , Armen Derkevorkian , Charbel Farhat

We calculate transversal flexoelectric coefficients along the principal directions for fifty select atomic monolayers using ab initio Density Functional Theory (DFT). Specifically, considering representative materials from each of Groups…

Materials Science · Physics 2020-10-28 Shashikant Kumar , David Codony , Irene Arias , Phanish Suryanarayana

We investigate flexoelectricity in MXene monolayers from first principles. Specifically, we compute the transverse flexoelectric coefficients of 126 MXene monolayers along their two principal directions using Kohn-Sham density functional…

Materials Science · Physics 2025-07-17 Shashikant Kumar , Zixi Zhang , Phanish Suryanarayana

A multiscale (micro-to-macro) analysis is proposed for the prediction of the finite strain behavior of composites with hyperelastic constituents and embedded localized damage. The composites are assumed to possess periodic microstructure…

Materials Science · Physics 2020-10-20 Nathan Perchikov , Jacob Aboudi

A review of theoretical and experimental studies of the electronic structure, electronic and magnetic properties of various systems of Heusler alloys in the states of a half-metallic ferromagnet, a spin gapless semiconductor, and a…

Materials Science · Physics 2021-11-30 V. V. Marchenkov , V. Yu. Irkhin

Asymmetric piezoelectric composites exhibit coupling between their macroscopic linear momentum and electric field, a coupling that does not appear at the microscopic scale. This electromomentum coupling constitutes an additional knob to…

Materials Science · Physics 2022-02-23 Majd Kosta , Alan Muhafra , René Pernas Salomón , Gal Shmuel , Oded Amir

Asymptotic homogenisation is considered for problems with integral constraints imposed on a slowly-varying microstructure; an insulator with an array of perfectly dielectric inclusions of slowly varying size serves as a paradigm. Although…

Classical Analysis and ODEs · Mathematics 2023-04-03 A. Kent , S. L. Waters , J. Oliver , S. J. Chapman

Composite materials consisting of coupled magnetic and ferroelectric layers hold the promise for new emergent properties such as controlling magnetism with electric fields. Obviously, the interfacial coupling mechanism plays a crucial role…

In the present paper, a new three-scale asymptotic homogenization method is proposed to study the electrical behavior of the cardiac tissue structure with multiple heterogeneities at two different levels. The first level is associated with…

Analysis of PDEs · Mathematics 2022-01-11 Fakhrielddine Bader , Mostafa Bendahmane , Mazen Saad , Raafat Talhouk

Optical properties of ferromagnetic half-metallic full-Heusler Co$_{2}$FeGe alloy are investigated experimentally and theoretically. Co$_{2}$FeGe thin films were obtained by DC magnetron sputtering and show the saturation magnetization at…

Materials Science · Physics 2015-06-11 N. V. Uvarov , Y. V. Kudryavtsev , A. F. Kravets , A. Ya. Vovk , R. P. Borges , M. Godinho , V. Korenivski

We consider a system of equations that model the temperature, electric potential and deformation of a thermoviscoelastic body. A typical application is a thermistor; an electrical component that can be used e.g. as a surge protector,…

Numerical Analysis · Mathematics 2018-04-09 Axel Målqvist , Tony Stillfjord

This work examines the mechanical behavior of three-layer plates with a tetrachiral honeycomb core and solid face layers under static bending conditions. The influence of discretization, relative density, and thickness of the honeycomb core…

Numerical Analysis · Mathematics 2025-10-15 A. V. Mazaev

A temporal homogenization approach for the numerical simulation of atherosclerotic plaque growth is extended to fully coupled fluid-structure interaction (FSI) simulations. The numerical results indicate that the two-scale approach yields…

Numerical Analysis · Mathematics 2021-06-18 Stefan Frei , Alexander Heinlein , Thomas Richter

Light modulation is an essential operation in photonics and optoelectronics. With existing and emerging technologies increasingly demanding compact, efficient, fast and broadband optical modulators, high-performance light modulation…

Optics · Physics 2016-05-04 Zhipei Sun , Amos Martinez , Feng Wang
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