Asymptotic Behavior for Textiles
Georges Griso, Julia Orlik, Stephan Wackerle
Abstract
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.
Topics & Concepts
Homogenization (climate)LimitingElasticity (physics)Asymptotic homogenizationMathematicsLinear elasticityMathematical analysisMaterials scienceStructural engineeringComposite materialEngineeringComposite numberFinite element methodAlgorithmMechanical engineeringEcologyBiodiversityBiologyAdvanced Mathematical Modeling in EngineeringComposite Material MechanicsAdvanced Numerical Methods in Computational Mathematics