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We derive and implement a suitable boundary condition for the kinetic description of the electrons inside a plasma, which takes into account microphysical processes inside the wall. It is based on the surface scattering kernel, which…

Plasma Physics · Physics 2025-11-26 Felix Willert , Clemens Hoyer , Gordon K. Grubert , Franz X. Bronold

The extended boundary condition method (EBCM) was formulated for the perturbation of a source electric potential by a 3D object composed of a homogeneous anisotropic dielectric medium whose relative permittivity dyadic is positive definite.…

Applied Physics · Physics 2022-10-18 Akhlesh Lakhtakia , Hamad M. Alkhoori , Nikolaos L. Tsitsas

The boundary element method (BEM) enables solving three-dimensional electromagnetic problems using a two-dimensional surface mesh, making it appealing for applications ranging from electrical interconnect analysis to the design of…

Numerical Analysis · Mathematics 2021-12-14 Shashwat Sharma , Piero Triverio

Piezo-electric material can be controlled with current as the electrical variable, instead of voltage. The main purpose of this paper is to derive the governing equations for a current-controlled piezo-electric beam and to investigate…

Analysis of PDEs · Mathematics 2016-03-08 Kirsten A. Morris , Ahmet Ozkan Ozer

The present work attempts to present a consistent and efficient approach to piezoelectric laminated beams. The influence of hypotheses on three-dimensional sectional deformations and stress distributions on the estimate of the beam…

Mathematical Physics · Physics 2010-09-28 C. Maurini , F. dell'Isola , J. Pouget

Bounds are developed for the condition number of the linear finite element equations of an anisotropic diffusion problem with arbitrary meshes. They depend on three factors. The first, factor proportional to a power of the number of mesh…

Numerical Analysis · Mathematics 2014-06-23 Lennard Kamenski , Weizhang Huang , Hongguo Xu

The paper addresses the problem of finding the necessary and sufficient conditions to be satisfied by the engineering moduli of an anisotropic material for the elastic energy to be positive for each state of strain or stress. The problem is…

Classical Physics · Physics 2024-04-29 Paolo Vannucci

The propagation front of a crack generates large strain gradients and it is therefore a strong source of gradient-induced polarization (flexoelectricity). Herein, we demonstrate that, in piezoelectric materials, a consequence of…

Materials Science · Physics 2019-04-10 Kumara Cordero-Edwards , Hoda Kianirad , Jordi Sort , Carlota Canalias , Gustau Catalan

This paper establishes a one-dimensional theoretical model for an elastic beam with embedded point magnets in extensional, bending and torsional motions. The beam has a circular cross-section. The point magnets may be in the interior or at…

Applied Physics · Physics 2024-04-10 Jiashi Yang

Soft robotics requires materials that are capable of large deformation and amenable to actuation with external stimuli such as electric fields. Energy harvesting, biomedical devices, flexible electronics and sensors are some other…

Soft Condensed Matter · Physics 2021-05-27 Matthew Grasinger , Kosar Mozaffari , Pradeep Sharma

We give a general family of electromagnetic boundary conditions applicable to arbitrary space--time interfaces between electromagnetic media, which include the known space--only and time--only boundary conditions as special cases. These…

Optics · Physics 2025-07-09 Jonathan Gratus , Simon A. R. Horsley , Martin W. McCall

Quasiclassical boundary conditions for electrochemical potentials at the interface between diffusive ferromagnetic and non-magnetic metals are derived for the first time. An expression for the boundary resistance accurately accounts for the…

Other Condensed Matter · Physics 2009-11-11 B P Vodopyanov , L R Tagirov

This work comprises a detailed theoretical and computational study of the boundary value problem for transversely isotropic linear elastic bodies. General conditions for well-posedness are derived in terms of the material parameters. The…

Numerical Analysis · Mathematics 2018-11-01 Faraniaina Rasolofoson , Beverley Grieshaber , B. Daya Reddy

This paper develops the equilibrium equations describing the flexoelectric effect in soft dielectrics under large deformations. Previous works have developed related theories using a flexoelectric coupling tensor of mixed material-spatial…

Computational Physics · Physics 2020-12-02 David Codony , Prakhar Gupta , Onofre Marco , Irene Arias

In this work, we demonstrate that the interaction of electromagnetic waves with a microstructured material formed by metallic wires connected to a metallic surface can be described using homogenization methods provided an additional…

Materials Science · Physics 2009-11-13 Mario G. Silveirinha , Carlos A. Fernandes , Jorge R. Costa

In this paper we study point transformed electromagnetic invisibility cloaks in transformation media that are obtained by transformation from general anisotropic media. We assume that there are several cloaks located in different points in…

Optics · Physics 2009-11-13 Ricardo Weder

The annular electron beam has significant practical potential in high-energy physics and condensed matter physics, which can be used to edge-enhancement electron imaging, collimation of antiprotons in conventional linear accelerators,…

Plasma Physics · Physics 2024-10-15 Yangchun Liu , Dong Wu , Tianyi Liang , Zhengmao Sheng , Xiantu He

This paper presents a consistent approach to prescribe traction boundary conditions in atomistic models. Due to the typical multiple-neighbor interactions, finding an appropriate boundary condition that models a desired traction is a…

Computational Physics · Physics 2016-06-29 Xiantao Li , Jianfeng Lu

The shape equation for an axisymmetric fluid membrane is derived, assuming action of an uniform external electric field. The flexoelectric contribution to the free energy of the membrane, stemming from the latter is accounted within the…

Soft Condensed Matter · Physics 2021-07-14 Galin S. Valchev , Vassil M. Vassilev

Dielectric nano-swithes made of the materials that exhibit piezoelectric and/or flexoelectric properties with significant electro-mechanical coupling are considered. In this case, a nonuniform strain field may locally break inversion…

Materials Science · Physics 2010-02-16 M. M. Toropova
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