TY - JOUR AU - Tung, Do Xuan AU - Vinh, Pham Chi AU - Tung, Nguyen Kim PY - 2012/05/30 Y2 - 2024/03/29 TI - Homogenization of an interface highly oscillating between two concentric ellipses JF - Vietnam Journal of Mechanics JA - Vietnam J. Mech. VL - 34 IS - 2 SE - Research Article DO - 10.15625/0866-7136/34/2/926 UR - https://vjs.ac.vn/index.php/vjmech/article/view/926 SP - 113-121 AB - <p>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.</p> ER -