arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv math/0604566math.AP
收藏

周期性微结构薄膜的3D-2D分析

3D-2D analysis of a thin film with periodic microstructure

Jean-Francois Babadjian, Margarida Baia

摘要:

本文的目的是研究异质薄膜的行为,其微观结构的振荡尺度是可比的域的厚度。该论点是基于3D-2D降维通过$Γ$收敛分析,技术的两个规模的收敛和解耦程序之间的振荡变量和面内变量。

英文摘要:

The purpose of this article is to study the behavior of a heterogeneous thin film whose microstructure oscillates on a scale that is comparable to that of the thickness of the domain. The argument is based on a 3D-2D dimensional reduction through a $Γ$-convergence analysis, techniques of two-scale convergence and a decoupling procedure between the oscillating variable and the in-plane variable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑