Abstract:

Aining at the problem of inaccurate descripion of the theoretical model of the tensile mechanical behaviors of multi-component yarns, based on the Vangheluwe model, the tensile behavior of three-strand high performance composite yarn was analyzed, but the tensile behavior of three-strand high preformance composite yarn is not suitable for describing quasi-linear fiber, and the major disadvantage of the Vangheluwe model, however, is modified, that is, elastic modulus is equal to zero without strain to obtain a model accordingly. Taking the application of Jacobian matrix and Hessian matrix in nonlinear least square method (LSM) into cinsideration, the nonlinear regression equation was solved by MatLab, and the goodness of fit value reached 0.999 86. The physical meaning of the modified model was more precise, moreover, the accuracy of which was higher. In addition, one element model of the nonlinear and linear spring model was also employded to describe the tensile behavior of composite yarns. The results show that the two models has good fitting with the measured values of the composite yarns, and the theoretical analytec results on goodness of fit walue present at 0.999 85 and 0.99 04. Finally, the linear spring model of the element proposed can be used to characterize the average modulus of the tensile process of the composite yarns.

Key words: composite yarn, tensile property, nonlinear three elements model, stress-strain equation