CHARACTERIZATION OF THE ELECTRIC FIELD CONCENTRATION BETWEEN TWO ADJACENT SPHERICAL PERFECT CONDUCTORS

CHARACTERIZATION OF THE ELECTRIC FIELD CONCENTRATION BETWEEN TWO ADJACENT SPHERICAL PERFECT CONDUCTORS

When two perfectly conducting inclusions are located close to each other, the electric field concentrates in a narrow region in between two inclusions and becomes arbitrarily large as the distance between two inclusions tends to zero. The purpose of this paper is to derive an asymptotic formula of t...

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Veröffentlicht in:SIAM journal on applied mathematics 2014-01, Vol.74 (1), p.125-146
Hauptverfasser: KANG, HYEONBAE, LIM, MIKYOUNG, YUN, KIHYUN
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
Conductivity
Electric fields
Electrostatics
Grants
Line segments
Mathematical constants
Research grants
Stress concentration
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Zusammenfassung:When two perfectly conducting inclusions are located close to each other, the electric field concentrates in a narrow region in between two inclusions and becomes arbitrarily large as the distance between two inclusions tends to zero. The purpose of this paper is to derive an asymptotic formula of the concentration which completely characterizes the singular behavior of the electric field when inclusions are balls of the same radii in three dimensions.
ISSN:0036-1399
1095-712X
DOI:10.1137/130922434