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.
Highlights
Woven fabrics and their composites have been widely used in engineering due to the outstanding mechanical performance [1,2]
Approaches to investigate the shear behavior of a woven fabric can be classified into three categories [7]: experimental testing, numerical simulation, and analytical modeling
The model is applicable for fabrics with different weave patterns without more experiments required
Summary
Woven fabrics and their composites have been widely used in engineering due to the outstanding mechanical performance [1,2]. Approaches to investigate the shear behavior of a woven fabric can be classified into three categories [7]: experimental testing, numerical simulation, and analytical modeling. The kinematic models [13,14] are succinct, but they cannot account for the effect of mechanical behaviors of yarns on the deformation of woven fabrics. In their work, the constitutive equations for the mechanical properties of woven materials are given by curve-fitted exponential or polynomial functions Such operations are inconvenient when the weave pattern changes with design requirements. To the authors’ knowledge, the tension-shear coupling related parameters in most models must be determined by fitting experimental data, thereby needing to redo experiments when the weave pattern changes. The model is applicable for fabrics with different weave patterns without more experiments required
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