Abstract
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 (g 1 and a σ) 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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Baltussen, J.J.M. and Northolt, M.G., 'The stress and sonic modulus versus strain curve of polymer fibres with yield', Polymer 40, 1999, 6113–6124.
Baltussen, J.J.M. and Northolt, M.G., 'The viscoelastic extension of polymer fibres: creep behaviour', Polymer 42, 2001, 3835–3846.
Davies, P., Huard, G., Grosjean, F. and François, M., 'Creep and relaxation of polyester mooring lines', in Proceedings of the Offshore Technology Conference, 2000, Paper OTC 12176, 1–12.
Dillard, D.A., Fatigue of Composite Materials, Composite Materials Series, Vol. 4, Elsevier, Amsterdam, 1991, 339–384.
Lafitte, M.H. and Bunsell, A.R., 'The creep of Kevlar-29 fibers', Polymer Engineering and Science 25(3), 1985, 182–187.
Lai, J. and Bakker, A., 'An integral constitutive equation for nonlinear plasto-viscoelastic behaviour of high-density polyethylene', Polymer Engineering and Science 35(17), 1995, 1339–1347.
Lou, Y.C. and Schapery, R.A., 'Viscoelastic characterisation of a nonlinear fiber-reinforced plastic', Journal of Composite Materials 5(18), 1971, 208–234.
Northolt, M.G., 'Tensile deformation of poly(p-phenylene terephthalamide) fibres, an experimental and theoretical analysis', Polymer 21, 1980, 1199–1203.
Northolt, M.G. and Sikkema, D.J., 'Lyotropic main chain liquid crystal polymers', Advances in Polymer Science 98, 1990, 115–176.
Northolt, M.G., Baltussen, J.J.M. and Schaffers-Korff, B., 'Yielding and hysteresis of polymer fibres', Polymer 36(18), 1995, 3485–3492.
Perzyna, P., 'Fundamental problems in viscoplasticity', Advances in Applied Mechanics 9, 1966, 243–377.
Schapery, R.A., 'On the characterization of nonlinear viscoelastic materials', Polymer Engineering and Science 9, 1969, 295–310.
Schapery, R.A., 'Nonlinear viscoelastic and viscoplastic contitutive equations based on thermodynamics', Mechanics of Time-Dependent Materials 1, 1997, 209–240.
Wortmann, F.J. and Schulz, K.V., 'Non-linear viscoelastic performance of Nomex, Kevlar and polypropylene fibres in a single step stress relaxation test: 2. Modulli, viscosities and isochrononal stress/strain curves', Polymer 36(12), 2001, 2363–2369.
Yang, H.H., Kevlar Aramid Fiber, John Wiley and Sons, New York, 1993.
Yeh, W.Y. and Young, R.J., 'Molecular deformation processes in aromatic high modulus polymer fibres', Polymer 40, 1999, 857–870.
Zaoutos, S.P., Papanicolaou, G.C. and Cardon, A.H., 'On the non-linear viscoelastic behaviour of polymer-matrix composites', Composites Science and Technology 58, 1998, 883–889.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chailleux, E., Davies, P. Modelling the Non-Linear Viscoelastic and Viscoplastic Behaviour of Aramid Fibre Yarns. Mechanics of Time-Dependent Materials 7, 291–303 (2003). https://doi.org/10.1023/B:MTDM.0000007199.01142.f8
Issue Date:
DOI: https://doi.org/10.1023/B:MTDM.0000007199.01142.f8