A Two-Dimensional Gradient-Elasticity Theory for Woven Fabrics

A gradient elasticity theory is proposed for the mechanics of woven fabrics. This is motivated by a series of recent experiments in which strongly localized deformation features are observed in the so-called bias test. Such features are reminiscent of solutions to problems posed in the setting of gr...

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Bibliographic Details
Published inJournal of elasticity Vol. 118; no. 1; pp. 113 - 125
Main Authors dell’Isola, Francesco, Steigmann, David
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.01.2015
Springer Nature B.V
Springer Verlag
Subjects
Automotive Engineering
Bias
Classical Mechanics
Deformation
Elasticity
Engineering Sciences
Fabrics
Mechanics
Physics
Physics and Astronomy
Research Note
Two dimensional
Weave
Mechanics of woven fabrics
74K99
Gradient elasticity
74B20
74E99
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Summary:A gradient elasticity theory is proposed for the mechanics of woven fabrics. This is motivated by a series of recent experiments in which strongly localized deformation features are observed in the so-called bias test. Such features are reminiscent of solutions to problems posed in the setting of gradient elasticity. In turn, gradient effects in woven fabrics may be motivated by the presence of a local length scale in the pattern of the weave. The presumed influence of this scale on macroscopic constitutive response leads naturally to a special gradient theory.
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ISSN:0374-3535
1573-2681
DOI:10.1007/s10659-014-9478-1