Mechanics of Woven Fabrics
Résumé
Woven fabrics constitute an important material class used in a broad range of the applications, from the apparel and garments industry to the fields of architecture, composites, marine engineering, aeronautics and space studies. A woven fabric is a fibrous material with multi-scale structural organization, with fibers organized into yarns and yarns organized into a weave. Their mechanical behavior is defined by structure-property relations. The present chapter starts with a description of the internal geometry of woven fabrics and analytical models for their deformation under tension, shear, bending and compaction. Subsequently, the continuum mechanics theories for fibrous yarns and woven fabrics are introduced, and their implementation as generalized media constitutive models is described. Micro-computed tomography-based internal structures and finite elements models of woven fabrics link the continuum mechanics theories with digital twins of the fabrics and a virtual identification of mechanical properties.