Homogenization of an interface highly oscillating between two concentric ellipses

Authors

  • Do Xuan Tung Hanoi University of Science, VNU
  • Pham Chi Vinh Hanoi University of Science, VNU
  • Nguyen Kim Tung Hanoi University of Science, VNU

DOI:

https://doi.org/10.15625/0866-7136/34/2/926

Keywords:

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

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.

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Published

30-05-2012

How to Cite

Tung, D. X., Vinh, P. C., & Tung, N. K. (2012). Homogenization of an interface highly oscillating between two concentric ellipses. Vietnam Journal of Mechanics, 34(2), 113–121. https://doi.org/10.15625/0866-7136/34/2/926

Issue

Section

Research Paper

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