In technical textile engineering, macro-level phenomenological modelling effectively describes the material’s highly nonlinear behaviour. However, existing material laws concentrate on the normal stiffness in the orthotropic yarns and simplify the shear effect because of the two orders of magnitude difference between shear and normal stiffness. This article introduces an improved phenomenological model that includes nonlinear shear behaviour, and it determines the material parameters with a previously applied data fitting method for exponential functions. The nonlinear shear behaviour is valid for the elastic state, that is, at the service level of the loads. Time-dependent, cyclic loading or plastic behaviour is not considered.
HegyiDHalászMMolnárK, et al.An elastic phenomenological material law for textile composites and it's fitting to experimental data. J Reinforced Plastics Composites2017; 36: 1343–1354.
2.
LomovSVGusakovAVHuysmansG, et al.Textile geometry preprocessor for meso-mechanical models of woven composites. Composites Sci Tech2000; 60: 2083–2095.
3.
HaanSICharalambidesPGSuriM. A specialized finite element for the study of woven composites. Comput Mech2001; 27: 445–462.
4.
BallhouseDKöningMKröplinB. A microstructure model for fabric-reinforces membranes based on discrete element modeling. In: OnateEKroplinB (eds). Structural membranes 2005. Stuttgart, Germany: CIMNE2005, pp. 2–5.
5.
DurvilleD. Approach of the constitutive material behaviour of textile composites through simulation. In: Structural membranes 2005 II international conference on textile composites and inflatable structures (eds OnateEKroplinB), France, October 2005, pp. 307-316. Stuttgart, Germany: CIMNE.
6.
AmbroziakAKlosowskiP. Nonlinear elastic and rheolgical constitutive modeling of PVC-coated polyester fabric using dense net model. In: Structural membranes (eds OnateEKroplinB), Stuttgart, Germany, 2–5 October 2005, pp. 131–138. Stuttgart, Germany: CIMNE.
7.
AmbroziakAKłosowskiP. Mechanical properties of polyvinyl chloride-coated fabric under cyclic tests. J Reinforced Plastics Composites2014; 33: 225–234.
8.
BridgensBNGoslingPD. Direct stress-strain representation for coated woven fabrics. Comput Structures2004; 82: 1913–1927.
9.
BridgensBNGoslingPD. A predictive fabric model for membrane structure design. In: OnateEKroplinB (eds). Textile composites and inflatable structures ii. computational methods in applied sciences. Stuttgart, Germany: CIMNE, 2005.
10.
ChabocheJL. Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int J Plasticity1989; 5: 247–302.
CharmetantAOrliacJGVidal-SalléE, et al.Hyperelastic model for large deformation analyses of 3D interlock composite preforms. Composites Sci Tech2012; 72: 1352–1360.
13.
SeleznevaMNaouarNDenisY, et al.Identification and validation of a hyperelastic model for self-reinforced polypropylene draping. Int J Mater Forming2021; 14: 55–65.
14.
GorbatikhX.GuoZ.DuT, et al.A simple anisotropic hyperelastic constitutive model for textile fabrics with application to forming simulation. Composites B: Eng2013; 52: 275–281.
15.
YuXQCaoJ. A continuum mechanics-based non-orthogonal constitutive model for woven composite fabrics. Composites A: Appl Sci Manufacturing2005; 36: 859–874.
16.
HegyiD. The analysis of membrane structures and structural membranes by numerical and experimental methods (in Hungarian). PhD Thesis. Budapest University of Technology and Economics, Hungary, 2006.
17.
BakonyiPHalászMMolnárK, et al.Developement of a biaxial tensile grip for cyclic tensile tests of flexible technical textiles. In: 5th Edition of the Enternational Conference on Intelligent Textiles & Mass Customiztaion (eds MLahlouVKoncar), Casablanca, Morocco, 4-6 November 2015, pp. 8. Casablanka, Morocco: ESITH.
18.
O’LearyDPRustBW. Variable projection for nonlinear least squares problems. Comput Optim Appl2013; 54: 579–593.
19.
GolubGPereyraV. Separable nonlinear least squares: the variable projection method and its applications. Inverse Probl2003; 19: R1–R26.
20.
RotheSWendtEKrzywinskiS, et al.Investigation of shear-induced deformation of reinforcing textiles by optical measurement devices. Materials2019; 12: 1029.
21.
HalászJAkkermanRBoisseP, et al.Characterization of mechanical behavior of woven fabrics: experimental methods and benchmark results. Composites Part A: Appl Sci Manufacturing2008; 39: 1037–1053.
22.
HegyiDSajtosIGeiszterG, et al.Eight-node quadrilateral double-curved surface element for membrane analysis. Comput Structures2006; 84: 2151–2158.
23.
HinczYWeichertD. Nonlinear Continuum Mechanics of Solids. Aachen, Germany: Springer, 2000.
