Journal ArticleDOI
A New Solution Method for Homogenization of Effective Properties of Electromagnetic Honeycombs
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In this article, an analytical model and its new numerical solution using the homogenization method are developed to determine the effective electromagnetic characteristics of honeycombs based on the proposed solution method.Abstract:
In this paper, an analytical model and its new numerical solution using the homogenization method are developed to determine the effective electromagnetic characteristics of honeycombs. Based on the proposed solution method, the electromagnetic properties are obtained by employing the multi-scale homogenization theory and periodical electric (magnetic) potential boundary conditions. Further, the effect of geometry of honeycomb’s unit cell on effective electromagnetic properties is investigated with the use of the proposed method. The numerical results are compared with analytic results using the Smith-Scarpa’s semi-empirical formula.read more
Citations
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Asymptotic homogenization in the determination of effective intrinsic magnetic properties of composites
TL;DR: In this paper , the authors proposed the use of the meridional eccentricity of the permeability tensor ellipsoid as an anisotropy index quantifying the degree of directionality in the linear magnetic response.
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Estimation of the Effective Magnetic Properties of Two-Phase Steels
TL;DR: In this article , the predictive performance of specific analytical and numerical methods to determine the effective magnetic properties of two-phase steels at the macroscale was investigated, using various mixture rules reported in the literature, some of which correspond to rigorous bounds, e.g., Voigt (arithmetic) and Reuss (harmonic) averages.
References
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Journal ArticleDOI
A review of homogenization and topology opimization II—analytical and numerical solution of homogenization equations
Behrooz Hassani,Ernest Hinton +1 more
TL;DR: The second part of a three-part review of homogenization and topology optimization can be found in this article, where the authors described different material models and the analytical solution of the homogenisation equations for the so called rank laminate composites is presented.
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Calculating photonic band structure
TL;DR: In this article, the authors explore the application of scattering theory to Maxwell's equations and present applications to a few key problems by way of illustration, and discuss the special circumstances of metallic photonic structures and their unique properties.
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Quasi-static crush behavior of aluminum honeycomb specimens under compression dominant combined loads
TL;DR: In this paper, the influence of shear stress on the quasi-static crush behavior of aluminum honeycomb specimens under compression dominant combined loads is investigated by experiments, and a phenomenological yield criterion for specimens with different inplane orientation angles is proposed based on the experimental normal crush and shear strengths under combined loads.
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The electromagnetic properties of re-entrant dielectric honeycombs
TL;DR: In this paper, the electromagnetic properties of reentrant honeycombs are compared to those of a conventional honeycomb. And the use of re-entrant bees, rather than conventional bees, in LO and radome applications can yield improved structural and electromagnetic performance.
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Effective permittivity of dielectric honeycombs
TL;DR: In this article, an empirical equation is derived using the FD-TD (finite difference-time domain) method, which defines the diagonal components of the complex permittivity in terms of the honeycomb material permittivities and the fraction of honeycomb materials per unit cell.