A Multi-Step Linear Approximation Method for Nonlinear Analysis of Stress and Deformation of Coated Plain-Weave Fabric

Abstract

The elastic constants are approximately determined using a multi-step linear approximation method for more accurate material nonlinear analysis of coated fabric membrane structures. The approximate determination is performed within each quadrilateral or triangular surface defined on the surfaces of the biaxial elongation property formed with the data of stress-strain curves measured by biaxial extension testings. Two types of 40 × 40 cm square flat membrane model of a PTFE coated plain-weave glass fiber fabric are analyzed applying finite element method adapting a 20-steps linear approximation method. One of the models is an inplane deformation model subjected to biaxial extension under the condition of stress ratio of 1:1. The stress-strain response in the central region of the membrane is analyzed. And the other model is a membrane deformed by the application of air pressure. The relation between the central deflection and the pressure is analyzed. The results of analysis showed excellent coincidences with experimental results.

Advances in mechanical properties of coated fabrics in civil engineering

“…The calculation amount of macroscopic models is far lower than the microscopic models. This is also why the macroscopic models are widely used in the analysis [37–39,42,62–65]. Recently, Dinh et al.…”

Response surface analysis of biaxial mechanical properties and elastic parameters for woven fabric composites

“…the mathematical function method, is particularly interesting in the case of nonlinear behavior of coated fabrics. Day [21], Testa et al [22], Galliot and Luchsinger [17], Bridgens et al [23,24], and Minami [25] used this method to represent the nonlinear responses of fabrics. The last method is the micro-mechanics models, which emphasize the great influence of local weave geometry.…”

“…This method could directly link the measured strains to the applied stresses through three dimensional representations. Gosling and Bridgens [32], Minami [25], Galliot and Luchsinger [16], and Chen et al [31] have successfully applied such a method to the investigations of deformation behaviors for fabric composites. This method has potential in detailed analyses of deformation behaviors and mechanism of woven fabrics, and unfortunately, its potentialities in the biaxial response analyses have not been brought into full play.…”

Modelling of cyclic visco-elasto-plastic behaviour of coated woven fabrics under biaxial loading and finite strain

“…Other non-linear anisotropic elastic behaviour laws have been proposed for coated woven fabric (see for instance Bridgens and Gosling (2004), Minami (2006)). Those are phenomenological models.…”

“…The parameters involved in these functions were identified from the results of biaxial mechanical tests. Minami (2006) could implement his model in a finite element code in order to simulate PTFE-coated woven-glass-fibre fabrics for architectural membrane structures. Ambroziak (2006) and also Galliot and Luchsinger (2009) proposed a non-linear anisotropic elastic models for coated woven fabric.…”