Tensile properties and geometrical behavior of a plain weave fabric under arbitrary direction are addressed in this study. A geometrical–mechanical model is established on the basis of the deflection curve and flattening of tensioned yarn. For this purpose, a differential equation to assess the curvature of tensioned yarn under a certain bending moment is proposed. Different conditions of a fabric, namely relaxed fabric, stretched in principal directions and arbitrary directions are discussed. Ordinary data of a fabric and constituted yarns are input data of this model. The tensile-force curve and geometry of a strip fabric under stress in the arbitrary direction can be estimated by the proposed model simultaneously.
OlofssonB. A general model of a fabric as a geometrical-mechanical structure. J Textil Inst1964; 55: T541–T557.
6.
ProvatidisCGVassiliadisSG. On the performance of the geometrical models of fabrics for use in computational mechanical analysis. Int J Clothing Sci Technol2004; 16: 434–444.
7.
Drasrova J. Analysis of fabric cross-section. PhD Thesis (in Czech), Technical University of Liberec, Czech, 2004.
8.
TreloarLRG. The effect of test-piece dimensions on the behavior of fabrics in shear. J Textil Inst1965; 56: T533–T550.
9.
GrosbergPParkBJ. The mechanical properties of woven fabrics, part V: The initial modulus and the frictional restraint in shearing of plain weave fabrics. Textil Res J1966; 36:5: 420–431.
10.
GrosbergPParkBJ. The mechanical properties of woven fabrics, part VI: The elastic shear modulus of plain weave fabrics. Textil Res J1968; 38:11: 1085–1100.
11.
SpivakSMTreloarLRG. The behavior of fabrics in shear, part III: The relationship between bias extension and simple shear. Textil Res J1968; 38: 963–971.
12.
SkeltonJ. Fundamental of fabric shear. Textil Res J1976; 46:12: 862–869.
13.
LeafGAVShetaMF. The initial shear modulus of plain-woven fabric. J Textil Inst1984; 75: 157–157.
14.
NingPMee-YoungY. Structural anisotropy, failure criterion, and shear strength of woven fabrics. Textil Res J1996; 66: 238–244.
ProdromouAGChenJ. On the relationship between shear angle and wrinkling of textile composite performs. Composites Part A1997; 28A: 491–503.
17.
McBrideTMChenJ. Unit cell geometry in plain weave fabrics during shear deformations. Comput Sci Technol1997; 57: 345–351.
18.
WangJPageJRPatonR. Experimental investigation of the draping properties of reinforcement fabrics. Compon Sci Technol1998; 58: 229–237.
19.
PageJWangJ. Prediction of shear force and an analysis of yarn slippage for a plain-weave carbon fabric in a bias extension state. J Compos Sci Technol2000; 60: 977–986.
20.
PageJWangJ. Prediction of shear force using 3D non-linear FEM analyses for a plain weave carbon fabric in a bias extension state. Finite Elem Anal Des2002; 38: 755–764.
21.
ZhangYTFuYB. A micromechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension. Part 1: The micromechanical model. Int J Eng Sci2000; 38:17: 1895–1906.
22.
ZhangYTFuYB. A micromechanical model of woven fabric and its application to the analysis of buckling under uniaxial tension. Part 2: Buckling analysis. Int J Eng Sci2001; 39: 1–13.
23.
ZhangYTXuJF. Buckling analysis of woven fabric under simple shear along arbitrary directions. Textil Res J2002; 72: 147–147.
24.
LoWMHuJL. Shear properties of woven fabrics in various directions. Textil Res J2002; 72: 5–5.
25.
KuwazuruOYoshikawaN. Theory of elasticity of plain weave fabrics 1st report, new concept of Pesudo-Continuum Model. JSME Int J Ser A2004; 47: 17–25.
26.
KuwazuruOYoshikawaN. Theory of elasticity of plain weave fabrics 2nd report, finite element formulation. JSME Int J Ser A2004; 47: 26–34.
27.
KuwazuruOYoshikawaN. Strength anisotropy estimation of plain-weave fabrics by Pseudo-continuum Model. Key Eng Mater2006; 306-308: 835–840.
28.
Kamali Dolatabadi M. Anisotropy in tensile properties of plain weave fabric. PhD Thesis, Technical University of Liberec, 2009.
