Modelling the Non-Linear Viscoelastic and Viscoplastic Behaviour of Aramid Fibre Yarns

A non-linear viscoelastic viscoplastic model is proposed for the tensilebehaviour of aramid fibres, based on an analysis of the deformationmechanisms of these materials. This model uses the macroscopicformulation developed by Schapery together with the plasticity conceptof Perzyna. A simple identification procedure for the model parametershas been developed using creep/recovery cycles at different load levels.The identification reveals that two of the four parameters of theviscoelastic model (g1 and aσ) are independent of stresslevel. This may be due to the simple and regular nature of the fibrestructure. The model enables the parameters which characterise thenon-linear reversible viscoelasticity to be identified independentlyfrom those which characterise the viscoplasticity. The model predictionsare compared to experimental data for a more complex load sequence andreasonable correlation is obtained.

[1]  The viscoelastic extension of polymer fibres: creep behaviour , 2001 .

[2]  Ramesh Talreja,et al.  Fatigue of composite materials , 1987 .

[3]  Richard Schapery,et al.  Viscoelastic Characterization of a Nonlinear Fiber-Reinforced Plastic , 1971 .

[4]  A. Bunsell,et al.  The creep of kevlar‐29 fibers , 1985 .

[5]  F. Wortmann,et al.  Non-linear viscoelastic performance of Nomex, Kevlar and polypropylene fibres in a single step stress relaxation test: 2. Moduli, viscosities and isochronal stress/strain curves , 1995 .

[6]  The stress and sonic modulus versus strain curve of polymer fibres with yield , 1999 .

[7]  H. Yang,et al.  Kevlar Aramid Fiber , 1993 .

[8]  Richard Schapery Nonlinear Viscoelastic and Viscoplastic Constitutive Equations Based on Thermodynamics , 1997 .

[9]  M. Northolt,et al.  Yielding and hysteresis of polymer fibres , 1995 .

[10]  Peter Davies,et al.  Creep and Relaxation of Polyester Mooring Lines , 2000 .

[11]  M. Northolt,et al.  Lyotropic main chain liquid crystal polymers , 1992 .

[12]  J. Lai,et al.  An integral constitutive equation for nonlinear plasto‐viscoelastic behavior of high‐density polyethylene , 1995 .

[13]  Robert J. Young,et al.  Molecular deformation processes in aromatic high modulus polymer fibres , 1999 .

[14]  A. H. Cardon,et al.  On the non-linear viscoelastic behaviour of polymer-matrix composites , 1998 .

[15]  Richard Schapery On the characterization of nonlinear viscoelastic materials , 1969 .

[16]  P. Perzyna Fundamental Problems in Viscoplasticity , 1966 .

[17]  M. Northolt Tensile deformation of poly(p-phenylene terephthalamide) fibres, an experimental and theoretical analysis , 1980 .