Mesoscale modelling of interlaced fibre assemblies using energy method

The knowledge of mesoscale behaviour of interlaced fibrous structures is necessary to predict their macroscale behaviour. The aim of this study is to highlight the advantages of energy-based approach to solve fabric mechanics problems with out the necessity of complex 3D finite element analysis. A mechanical model to predict the tensile response of plain-woven fabric unit cell under in-plane uniaxial/biaxial loads is presented here. The model incorporates non-linear properties of constituent yarns, rather than idealised linear behaviour. All possible mechanisms of deformation including elongation, bending and compression of yarns have been considered. A modified geometry of yarn path based on a polynomial has been proposed. The predictions are compared with experimental data reported in literature as well as the finite element analysis. The computational aspects of implementation of the model are also discussed briefly.