An Analytical Model for the Tension-Shear Coupling of Woven Fabrics with Different Weave Patterns under Large Shear Deformation

Abstract

It is essential to accurately describe the large shear behavior of woven fabrics in the composite preforming process. An analytical model is proposed to describe the shear behavior of fabrics with different weave patterns, in which tension-shear coupling is considered. The coupling is involved in two parts, the friction between overlapped yarns and the in-plane transverse compression between two parallel yarns. By introducing the concept of inflection points of a yarn, the model is applicable for fabrics with different weave patterns. The analytical model is validated by biaxial tension-shear experiments. A parametric study is conducted to investigate the effects of external load, yarn geometry, and weave structure on the large shear behavior of fabrics. The developed model can reveal the physical mechanism of tension-shear coupling of woven fabrics. Moreover, the model has a high computational efficiency due to its explicit expressions, thus benefiting the material design process.

A textile architecture-based discrete modeling approach to simulating fabric draping processes

“…The shear angle, which is commonly defined as the change of the angle between warp and weft tows, is an important parameter that describes the highly nonlinear shear behavior. 17,20,[31][32][33][34][35][36][37][38] When a fabric is subject to in-plane shear, the initial deformation is primarily dominated by fiber tow rotation with a negligible shear force that is mainly caused by the friction between the tows induced by the normal pressure exerted at the intersections. 17,20,31,32,34,36,39 As the shear angle further increases, fiber rotation becomes difficult because the initial gaps between the tows are closed and the fiber tows are compressed against each other at the side, resulting in an increase in the shear force.…”

Investigating the shear behaviour of high-performance fabrics

“…This indicates that the fabric bends due to increased normal forces between overlapping tows at weave intersections, enhancing sliding friction during fabric deformation, as shown in Figure 6(e). [33][34][35][36][37] The correlation between shear and wrinkling behavior can be further understood through theoretical models, empirical observations, and experimental studies. These can yield an analytical model describing material wrinkling under shear, accounting for elastic properties, geometric constraints, and boundary conditions.…”

Special Issue “Composite Materials in Design Processes”

“…In this case, there are no reinforcing fibers, because the role of the epoxy resin is functional (i.e., electrical insulation) and not structural; nevertheless, the authors obtained a very promising repair efficiency and rate.The papers [9,10] consider two different aspects of interleaving viscoelastic materials between long fiber reinforced plastics layers. In fact, while [9] focuses the attention on the positive effect of macroscopic viscoelastic elements on the slamming damage in Glass Fiber Reinforced Plastics (GFRP), in [10], thin viscoelastic layers are interleaved with Carbon Fiber Reinforced Plastics (CFRP) plies in order to improve the damping properties of the laminate.Differently from the previously mentioned ones that focus on matrix properties modification, the works [11,12] are more related to fibers. In [11], several methods for measuring the fiber content in naval applications are shown.…”

“…This is of paramount importance for design purposes, since the fiber fraction is the quantity most of the mechanical properties are most sensitive to, according to the rule of mixtures. On the other hand, in [12], an analytical model is proposed and experimentally validated to describe the shear behavior of fabrics with different weave patterns, in which tension-shear coupling is considered. This is done under large shear deformation.Improvement of the technological processes: Dealing with composite materials, it is not possible to separate the material properties from the technological production processes.…”

“…Differently from the previously mentioned ones that focus on matrix properties modification, the works [11,12] are more related to fibers. In [11], several methods for measuring the fiber content in naval applications are shown.…”