A Two-Dimensional Gradient-Elasticity Theory for Woven Fabrics

Francesco Dell'Isola (1, 2) , David Steigmann (2, 3)

1 DISG - Dipartimento di Ingegneria Strutturale e Geotecnica
2 M&MoCS - International Research Centre on Mathematics & Mechanics of Complex Systems
3 Department of Mechanical Engineering [Berkeley]

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.

Domaines: Mécanique [physics.med-ph]

Francesco Dell'Isola, David Steigmann. A Two-Dimensional Gradient-Elasticity Theory for Woven Fabrics. Journal of Elasticity, 2015, 118 (1), pp.113-125. ⟨hal-00997790⟩