Asymptotic Behavior for Textiles | Zendy

Georges Griso | Zendy; Julia Orlik | Zendy; Stephan Wackerle | Zendy

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Asymptotic Behavior for Textiles

Author(s) -

Georges Griso,

Julia Orlik,

Stephan Wackerle

Publication year - 2020

Publication title -

siam journal on mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.882

H-Index - 92

eISSN - 1095-7154

pISSN - 0036-1410

DOI - 10.1137/19m1288693

Subject(s) - homogenization (climate) , limiting , elasticity (physics) , asymptotic homogenization , mathematics , linear elasticity , mathematical analysis , materials science , structural engineering , composite material , engineering , composite number , finite element method , algorithm , mechanical engineering , biodiversity , ecology , biology

The paper is dedicated to the asymptotic investigation of textiles as 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 and a Leray-Lions-type problem.

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