Abstract
The simulation by traditional uni-dimensional rheological models of viscoelastic unloading to zero stress after tensile testing of polyethylene and its composites is poor. The models significantly underestimate recovery rates, even with small amounts of strain. The use of a finite number of relaxation times does not sufficiently increase recovery rates during unloading when models are generated from the responses of materials under load. Similar results and observations are obtained using rate jumps in loading and unloading. 3D models developed using local state methods require that an additional recovery potential be used. A simple 2D model is proposed here which takes into account the differences in local behaviour seen during loading and unloading, thus justifying the existence of this potential. The similar situation that exists for composites means that the phenomenon must not be confused with material damage.
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Bibliography
M.C. BOYCE, D.M. PARKS, A.S. ARGON, “Large Inelastic Deformation of Glassy Polymers, Part I: Rate-Dependent Constitutive Model”, Mechanics of Materials, 7 15–33, 1988.
S. AHZI, A. MAKRADI, R.V. GREGORY, D.D. EDIE, Modeling of deformation and strain-induced crystallization in poly(ethylene terephtalate) above the glass transition temperature, Mechanics of materials, in press, 2003.
M. BELOUETTAR, PhD. University of Metz, 1997 (in french).
J.S. BERSTROM, M.C. BOYCE, Constitut. Mod. of the large strain time dependent behavior of elastomers, J. Mech, Phys. Solids, (46), N°5, 1998, pp. 931 — 954.
J.L. CHABOCHE, Formalisme général des lois de comportement, applications aux métaux et aux polymères, INPL, C. G’sell, J.M. Haudin, 1995, pp. 119 — 140.
S. CHAMBAUDET, P.M. LESNE, C.G’SELL, Simulation of compression tests on polymers and unidirectional composites : Large strain and viscoplastic matrix behavior, Annales des composites, 1, 1998, pp. 3 — 17.
N. CRITESCU, Viscoplasticity, North Holland, Amsterdam, 1972.
A.D. DROZDOV, J.C. CHRISTIANSEN, A model for the elastoplastic behavior of isotactic polypropylene below the yield point, Macromolecular Matr. and Eng., in press.
J. KICHENIN, Comportement mécanique du polyethylene, application aux structures gazières, PhD. Ecole Polytechnique, 1992 (in french).
L.E. MALVERN, Experimental studies on strain rates effets. Journal of Applied Mechanics, 18, 1961, pp. 203, 208.
J. MANDEL, Propriétés mécanique des matériaux, Eyrolles, 1978
E.F. OLEINIK, O.B. SAMALATINA, S.N RUDNEV, S.V. SHENOGIN, A new approach to treating plastic strain in glassy polymers, Polymer Science, (35), N°11, 1993, pp. 1819— 1849.
Y. REMOND, S. PATLAZHAN, Experimental observations on the viscoelastic unloading of polyethylene and polypropylene in relation with constitutive laws, Euromech 438 : Constitutive eq. for pol. microcomposites, Vienne, July 2002.
J. SALENCON, VISCOÉLASTICITÉ, Presse de l’Ecole Nationales des Ponts et Chaussées, 1993.
R.A. SHAPERY, Journal of Polymer Eng. Science, 1969, (9), pp. 295 — 310.
V. SOKOLOVSKII, Propagation of elastic-viscoplastic waves in bars of plastic deformations, Prikl. Math. Mekh. 12, pp, 61–280, 1948 (en russe).
M. STEHLY, Y. REMOND, On numerical simulation of cyclic viscoplastic and viscoelastic constitutive laws with the large time increment method, J. Mechanics of time dependent materials, (6), 2002, pp. 147 — 170.
J.D. WEBER, Comportement du polyéthylène dans les essais de traction avec saut de vitesse, Cahier du groupe fraçais de rhéologie, novembre 1973.
C. ZENER, Elasticité et anélasticité des métaux, Trad. J. Chatelet, Dunod, 1955
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Remond, Y. (2004). Constitutive Modeling of Viscoelastic Unloading of Glassy Polymers. In: Ahzi, S., Cherkaoui, M., Khaleel, M.A., Zbib, H.M., Zikry, M.A., Lamatina, B. (eds) IUTAM Symposium on Multiscale Modeling and Characterization of Elastic-Inelastic Behavior of Engineering Materials. Solid Mechanics and Its Applications, vol 114. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0483-0_26
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DOI: https://doi.org/10.1007/978-94-017-0483-0_26
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