An elastic phenomenological material law for textile composites and it's fitting to experimental data

Abstract

Constitutive description of deformations in technical textiles mostly requires some highly nonlinear material law because of the interaction between the orthotropic yarns and the effect of the matrix. Phenomenological models aim to capture the overall (macro level) behaviour needed in engineering applications. This paper introduces a new, two-dimensional phenomenological model for technical textiles, accompanied by a data acquiring strategy to determine the material parameters involved in the model. It handles the nonlinear stress–strain relation observed in uniaxial tests and takes the interactions in the two, orthogonal directions into account. As we aim to introduce a solution applicable at the service level of the loads, our model is inherently elastic, no time dependent or plastic behaviour are introduced and no cyclic loading is taken into consideration. The model can be solidly fit to the measured data.