Analysis of woven fabric in asymmetric tensile loading using parabolic approximation of tensile nonlinearity

Abstract

Unlike many other engineering materials, deformational behaviour of fabrics is marked by specific nonlinearities. For the purpose of certain engineering analyses, nonlinearity can be approximately described by means of appropriate models. A number of possibilities in approximation of tensile nonlinearity are statistically analysed and compared for the representative selection of woven fabrics. Second-order parabolic approximation is estimated to combine simplicity and good accuracy for a selected woven fabric. It is then included into deformational analysis of specimen in asymmetric tensile loading, as the case representative for structural application of textile, where geometric conditions combined with material properties define the mechanical behaviour of the body. The results indicate the factors of stress concentration due to load eccentricity. Simulation of tensile test gives the theoretical prediction of apparent reduction in stiffness and strength of the specimen in terms of the load eccentricity.