Abstract
Characterization of the mechanical behavior of cross-linked polyethylene (XLPE) commonly used in high voltage cable insulation was performed by an extensive set of isothermal uniaxial tensile relaxation tests. Tensile relaxation experiments were complemented by pressure-volume-temperature experiments as well as density and crystallinity measurements. Based on the experimental results, a viscoelastic power law model with four parameters was formulated, incorporating temperature and crystallinity dependence. It was found that a master curve can be developed by both horizontal and vertical shifting of the relaxation curves. The model was evaluated by making comparisons of the predicted stress responses with the measured responses in relaxation tests with transient temperature histories.
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References
Andreopoulos, A.G. and Kampouris, E.M., ‘Mechanical properties of crosslinked polyethylene’, Journal of Applied Polymer Science 31, 1986, 1061–1068.
Bagley, R.L., ‘Power Law and Fractional Calculus Model of Viscoelasticity’. AIAA Journal 27(10), 1989, 1412–1417.
Bagley, R.L. and Torvik, P.J., ‘A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity’, Journal of Rheology 27(3), 1983, 201–210.
Bremner, T. and Rudin, A., ‘Peroxide modification of linear low density polyethylene: A comparison of dialkyl peroxides’, Journal of Applied Polymer Science 49, 1993, 785–798.
Flügge, W., Viscoelasticity, Blaisdell, 1967.
Gedde, U.W., Polymer Physics, Kluwer Academic Publishers, 1999.
Harper, B.D. and Weitsman, Y., ‘Characterization Method for a Class of Thermorheologically Complex Materials’, Journal of Rheology 29(1), 1985, 49–66.
Kampouris, E.M. and Andreopoulos, A.G., ‘The effect of the gel content of croslinked polyethylene on its physical properties’, European Polymer Journal 25(3), 1989, 321–324.
Kunert, K.A., ‘Comparison of storage moduli of chemically crosslinked polyethylene and polypropylene’, Journal of Polymer Science: Polymer Letters Edition 20, 1982a, 53-56.
Kunert, K.A., ‘Influence of high peroxide concentration on the mechanical properties of cross-linked low density polyethylene’, Journal of Macromolecular Science: Chemistry A17(9), 1982b, 1469–1488.
Kunert, K.A., Soszynska, H. and Pislewski, N., ‘Structural investigation of chemically crosslinked low density polyethylene’, Polymer 22, 1981, 1355–1360.
Lee, E.H. and Rogers, T.G., ‘On the generation of residual stresses in thermoviscoelastic bodies’, Journal of Applied Mechanics 32, 1965, 874–880.
McKenna, G.B. and Gaylord, R.J., ‘Relaxation of crosslinked networks: Theoretical models and apparent power law behaviour’, Polymer 29(11), 1988, 2027–2032.
Morland, L.W. and Lee, E. H., ‘Stress analysis for linear viscoelastic materials with temperature variation’, Transactions of the Society of Rheology 4, 1960, 233–263.
Muki, R. and Sternberg, E., ‘On transient thermal stresses in viscoelastic materials with temperature dependent properties’, Journal of Applied Mechanics 28, 1961, 193–207.
Parpal, J.-L., Guddemi, C. and Lamarre, L., ‘Characterization of XLPE Cable Insulation by Dynamic Mechanical Thermal Analyzer (DMTA)’, In: Conference Record of the 1996 IEEE International Symposium on Electrical Insulation, pp. 171–174, 1996.
Paulsson, G., ‘Constitutive Modeling of Semi-Crystalline Polymers’, Ph.D. thesis, KTH Solid Mechanics, Royal Institute of Technology, Stockholm, Sweden, 2001.
Paulsson, G. and Patel, P., ‘Measurements of residual strains and stresses in an XLPE insulated cable’, Technical report, ABB Corporate Research, 2001.
Popelar, C.F. and Liechti, K.M., ‘Multiaxial nonlinear viscoelastic characterization and modeling of a structural adhesive’, Journal of Engineering Materials and Technology 119, 1997, 205–210.
Popelar, C.F., Popelar, C.H. and Kenner, V.H., ‘Viscoelastic Material Characterization and Modeling for Polyethylene’, Polymer Engineering and Science 30(10), 1990, 577–586.
Sen, A.K., Mukherjee, B., De, P.P. and Bhowmick, A.K., ‘Thermal properties of silane and peroxide crosslinked polyethylene, ethylene propylene rubber and their blends’, Journal of Thermal Analysis 39, 1993, 887–902.
Suzuki, H., Kanoka, M. and Sekii, Y., ‘Measurements on the frozen strain in XLPE insulated cables using thermomechanical analysis’, In: Proceedings of the Twenty-First Symposium on Electrical Insulating Materials, pp. 255–258, 1988.
Tobolsky, A.V., Properties and Structure of Polymers, Wiley, 1960.
Tobolsky, A.V. and McLoughlin, J.R., ‘Viscoelastic Properties of Crystalline Polymers: Polytriflourochloroethylene’, Journal of Physical Chemistry 59(9), 1955, 989–990.
Tschoegl, N.W., The Phenomenological Theory of Linear Viscoelastic Behavior An Introduction, Springer-Verlag, 1989.
Uesaka, T., Kodaka, I. Okushima, S. and Fukuchi, R., ‘History-dependent dimensional stability of paper’, Rheologica Acta 28(3), 1989, 238–245.
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Olasz, L., Gudmundson, P. Viscoelastic Model of Cross-Linked Polyethylene Including Effects of Temperature and Crystallinity. Mech Time-Depend Mater 9, 23–44 (2005). https://doi.org/10.1007/s11043-005-9002-x
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DOI: https://doi.org/10.1007/s11043-005-9002-x