SIAM Journal on Mathematical Analysis, Volume 52, Issue 2, Page 1639-1689, January 2020.
The paper is dedicated to the asymptotic investigation of textiles as an elasticity problem on beam structures. The structure is subjected to a simultaneous homogenization and dimension reduction with respect to the asymptotic behavior of the beams' thickness and periodicity. Important for the problem are the contact conditions between the beams, which yield multiple limits depending on the order. In this paper two limiting cases are presented: a linear case and a Leray--Lions-type problem.

中文翻译：

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纺织品的渐近行为

SIAM数学分析期刊，第52卷，第2期，第1639-1689页，2020年1月。
该论文致力于将纺织品作为梁结构的弹性问题进行渐近研究。就光束的厚度和周期性的渐近行为而言，该结构同时进行均质化和尺寸缩减。对于该问题而言，重要的是梁之间的接触条件，这会根据顺序产生多个限制。本文提出了两种极限情况：线性情况和Leray-Lions型问题。