涂覆各向异性介电球对静电场的扰动理论

IF 0.8 4区 工程技术 Q3 MATHEMATICS, APPLIED Quarterly Journal of Mechanics and Applied Mathematics Pub Date : 2023-09-10 DOI:10.1093/qjmam/hbad005
Nikolaos L Tsitsas, Hamad M Alkhoori, Akhlesh Lakhtakia
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引用次数: 1

摘要

摘要建立了由两种不同线性各向异性介质(LAD)材料组成的涂层介质球对静电场扰动的边值问题。采用特定的仿射变换,用拉普拉斯方程的解来表示磁芯和涂层内部的电势。发现了一个转移矩阵,将源电位和外部区域的扰动电位联系起来。该配方可以直接推广到由几种均质LAD材料制成的同心多层球体。
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Theory of Perturbation of Electrostatic Field By A Coated Anisotropic Dielectric Sphere
Summary A boundary-value problem was formulated for perturbation of an electrostatic field by a coated dielectric sphere made of two distinct linear anisotropic dielectric (LAD) materials. Specific affine transformations were employed to represent the electric potential inside the core and the coating in terms of the solutions of the Laplace equation. A transition matrix was found to relate the source potential and the perturbation potential in the exterior region. The formulation can be straightforwardly extended to concentrically multilayered spheres made of several homogeneous LAD materials.
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来源期刊
CiteScore
1.90
自引率
11.10%
发文量
14
审稿时长
>12 weeks
期刊介绍: The Quarterly Journal of Mechanics and Applied Mathematics publishes original research articles on the application of mathematics to the field of mechanics interpreted in its widest sense. In addition to traditional areas, such as fluid and solid mechanics, the editors welcome submissions relating to any modern and emerging areas of applied mathematics.
期刊最新文献
Post-Buckling Solutions for the Gao Beam Harmonic And Neutral Spherical Elastic Inhomogeneities with A Functionally Graded Interphase Layer Theory of Perturbation of Electrostatic Field By A Coated Anisotropic Dielectric Sphere Homogenisation of Nonlinear Heterogeneous Thin Plate When the Plate Thickness and In-Plane Heterogeneities are of the Same Order of Magnitude Scattering by a Perforated Sandwich Panel: Method of Riemann Surfaces
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