周期性微结构薄膜的3D-2D分析
3D-2D analysis of a thin film with periodic microstructure
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.
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