Wrinkling in engineering fabrics: a comparison between two different comprehensive modelling approaches.

I Giorgio,P Harrison,F Dell'Isola,E Turco,J Alsayednoor

doi:10.1098/rspa.2018.0063

Abstract

We consider two ‘comprehensive’ modelling approaches for engineering fabrics. We distinguish the two approaches using the terms ‘semi-discrete’ and ‘continuum’, reflecting their natures. We demonstrate a fitting procedure, used to identify the constitutive parameters of the continuum model from predictions of the semi-discrete model, the parameters of which are in turn fitted to experimental data. We, then, check the effectiveness of the continuum model by verifying the correspondence between semi-discrete and continuum model predictions using test cases not previously used in the identification process. Predictions of both modelling approaches are compared against full-field experimental kinematic data, obtained using stereoscopic digital image correlation techniques, and also with measured force data. Being a reduced order model and being implemented in an implicit rather than an explicit finite-element code, the continuum model requires significantly less computational power than the semi-discrete model and could therefore be used to more efficiently explore the mechanical response of engineering fabrics.

Highlights

In the literature on the mechanical behaviour of engineering fabrics, several models and modelling approaches have been introduced
We focus our attention on two different ‘comprehensive’ modelling approaches; models able to independently control the tensile, shear, out-of-plane bending, in-plane bending and torsional stiffnesses of the fabric, with the stiffnesses convecting with the fibre directions during large shear deformations
We compare two modelling approaches for engineering fabrics: (i) a semi-discrete model which is characterized by a semi-discrete nature and (ii) a continuum model which is identified by a continuum surface

Summary

Introduction

In the literature on the mechanical behaviour of engineering fabrics, several models and modelling approaches have been introduced. The simulations performed using the macro deformations model (and the consequent semi-discrete/continuum identification procedure and the related comparisons with experimental evidences) are based on the method of minimization of the total energy of the system to characterize stable equilibrium configurations.

Results

Conclusion