Homogenization of an interface highly oscillating between two concentric ellipses

Do Xuan Tung, Pham Chi Vinh, Nguyen Kim Tung

Abstract


The main purpose of this paper is to find the homogenized equation and the associate continuity conditions in the explicit form of a boundary-value problem in a two-dimensional domain with an interface oscillating rapidly between two concentric ellipses. This boundary-value problem originates from various problems in practical applications. By the homogenization method and following the technique presented recently by Vinh and Tung [P. C. Vinh and D. X. Tung, Mech. Res.Comm. 37 (2010), 285-288; P. C. Vinh, D. X. Tung, ASME J. Appl. Mech., 78 (2011), 041014-1;  P. C. Vinh and D. X. Tung, Acta Mech. 218 (2011), 333-348], the homogenized equation and the associate continuity conditions in the explicit form are derived.

Keywords


Interfaces oscillating highly between two concentric ellipses; homogenization method; homogenized equation

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DOI: https://doi.org/10.15625/0866-7136/34/2/926 Display counter: Abstract : 42 views. PDF : 11 views.

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