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Long term prediction of nonlinear viscoelastic creep behaviourof elastomers: extended Schapery model

Published online by Cambridge University Press:  14 March 2009

Hatem Gacem ,
Yvon Chevalier ,
Jean-Luc Dion ,
Mohamed Soula  and
Brahim Rezgui
Hatem Gacem
Affiliation:
Laboratoire d'ingénierie des systèmes mécaniques et des matériaux (LISMMA), Institut Supérieur de Mécanique de Paris (SUPMECA), 3 rue Fernand Hainaut, 93407 Saint-Ouen Cedex, Paris, France Unité de recherche génie des matériaux (URGM), École nationale d'ingénieurs de Tunis (ENIT), BP 37, Le Belvédère, Tunis, Tunisie
Yvon Chevalier
Affiliation:
Laboratoire d'ingénierie des systèmes mécaniques et des matériaux (LISMMA), Institut Supérieur de Mécanique de Paris (SUPMECA), 3 rue Fernand Hainaut, 93407 Saint-Ouen Cedex, Paris, France
Jean-Luc Dion
Affiliation:
Laboratoire d'ingénierie des systèmes mécaniques et des matériaux (LISMMA), Institut Supérieur de Mécanique de Paris (SUPMECA), 3 rue Fernand Hainaut, 93407 Saint-Ouen Cedex, Paris, France
Mohamed Soula
Affiliation:
Unité de recherche génie des matériaux (URGM), École nationale d'ingénieurs de Tunis (ENIT), BP 37, Le Belvédère, Tunis, Tunisie
Brahim Rezgui
Affiliation:
Unité de recherche génie des matériaux (URGM), École nationale d'ingénieurs de Tunis (ENIT), BP 37, Le Belvédère, Tunis, Tunisie
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Abstract

Herein we develop a creep test method for characterizing nonlinear viscoelastic behaviour of an elastomer through weak deformation. This approach is based on an expanded Schapery model. Short term creep tests at various stress levels were performed upon specimens composed of a synthetic elastomer. A method to predict the long term creep behaviour using short term creep tests is presented. Experimental results and theoretical predictions are compared.

Keywords

Creep testsnonlinear visco-elasticitySchapery modeltime-stress equivalenceEssais de fluagevisco-élastcité non-linéairemodèle de Schaperyéquivalence contrainte–temps
Type
Research Article
Information
Mechanics & Industry , Volume 9 , Issue 5 , September 2008 , pp. 407 - 416
Copyright
© AFM, EDP Sciences, 2009

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References

Saad, P., Modélisation du comportement viscoélastique non-linéaire des élastomères autour d'une précharge, Mécanique & Industries 4 (2003) 133–142 CrossRef
Amin, A., Alam, M., OKui, Y., An improved hyperelastic relation in modeling viscoelasticity response of natural and high damping rubbers in compression, experiments, parameter identification and numerical verification, Mechanics of Materials 34 (2002) 75–95 CrossRef
O'Dowd, N.P., Knauss, W.G., Time dependent large principal deformation of polymers, J. Mech. Phys. Solids 43 (1995) 771–792 CrossRef
Lianis, G., Constitutive equations for viscoelastic solids under finite deformation, J. Appl. Mech. 32 (1965) 623–629 CrossRef
Hausler, K., Sayir, M.B., Nonlinear viscoelastic response of carbon black renforced rubber derived from moderately large deformation in torsion, J. Mech. Phys. Solids 43 (1995) 295–318 CrossRef
H. Gacem, Comportement visco-hyperélastique des élastomères, Viscoélasticié non-linéaire, Application aux Multicouches, Thèse de doctorat, Université Pierre & Marie Curie, Paris 6, décembre 2007
Schapery, R.A., On a time dependence of viscoelastic variational solutions, Q. Appl. Math. 22 (1964) 207–215 CrossRef
Schapery, R.A., Application of thermodynamics to thermomechanical, fracture and birefringent in viscoelastic phenomena, Q. Appl. Math. 22 (1964) 207 CrossRef
Schapery, R.A., Effect of cyclic loading on the temperature in viscoelastic media with variable properties, AIAA J. 2 (1964) 827–835 CrossRef
Schapery, R.A., Thermomechanical behavior of viscoelastic media with variable properties subjected to cyclic loading, J. Appl. Mech. Trans. ASME Series E 87 (1965) 611–619 CrossRef
Schapery, R.A., On viscoelastic deformation and failure behavior of composite materials with trbuted flaws, in advanced in Aerospace Structures and Materials, S.S. Wang & WJ. Reir (ed.), New York, ASME 1 (1981) 520
Schapery, R.A., Analysis of damage growth in particulate composites using work potential, Co Engrg. 1 (1991) 167–182
Schapery, R.A., Nonlinear viscoelastic and viscoplastic constitutive-equation with growing damage, Internat. J. Fracture 97 (1999) 33–66 CrossRef
Hinterhoelzl, R.M., Schapery, R.A., Fem implementation of a three-dimensional viscoelastic constitutive model for particulate composite with damage growth, Mechanics of time dependent Materials 8 (2004) 65–94 CrossRef
Schapery, R.A., An engineering theory of nonlinear viscoelasticity with applications, Int. J. Solids Structures 2 (1966) 407–426 CrossRef
Schapery, R.A., A thermodynamic constitutive theory and its application to various nonlinear materials, Int. J. Solids Structures 2 (1966) 407–425 CrossRef
R.A. Schapery, Nonlinear Viscoelastic characterization and stress analysis of solid propellants, Review Article, Solid Rocket Structural Integrity Abstracts, College of Engineering of Utah, Vol. 3, Series E, September, 1966
Schapery, R.A., Stress analysis of viscoelastic composite materials, J. Composite Mat. 1 (1967) 228–267 CrossRef
J.D. Ferry, Viscoelastic properties of polymers, John Wiley and Sons, 3rd edition, New York, 1980
Morland, M.L., Lee, E.H., Stress analysis for linear viscoelactic materials with temperature variation, Trans. Soc. Rheology 4 (1960) 233–263 CrossRef
E.H. Lee, T.G. Roberts, On the generation of residual stress in thermoviscoelastic bodies, J. Appl. Mech. 65 (1965)
Schapery, R.A., Correspondence Principles and a generalized J Integral for large deformation fracture analysis of viscoelastic media, Int. J. Fracture 25 (1984) 195–223 CrossRef
Sidoroff, F., Variables internes en visco-elasticité, variables internes scalaires et tensorielles, J. Mécanique 14 (1975) 545–566
Onsager, L., Reciprocal relations in irreversible processes, Phys. Rev. (I) 37 (1931) 405–426 CrossRef
Onsager, L., Reciprocal relations in irreversible processes, II. Phys Rev (II) 38 (1931) 2265–2279
M. Lévesque, Modélisation du comportement mécanique des matériaux composites viscoélastiques non linéaires par une approche d'homogénéisation, Thèse de doctorat, ENSAM Paris, Décembre 2004
Knauss, W.G., Emri, I.J., Non-linear viscoelasticity based on free volume consideration, Computers & Structures 13 (1981) 123–128 CrossRef
Knauss, W.G., Emri, I.J., Volume change and the nonlinearly thermo-viscoelastic constitution of polymers, Poly. Eng. Sci., A. Yee (ed.) 27 (1987) 86–100
A.K. Doolittle, Studies on Newtonian flow II; The dependence of the viscosity of liquid on free space, J. Appl. Phys. 22 (1950) 1471–1475 CrossRef
S.P. Zaoutsos, G.C. Papanicoaou, Study of the effect of fibre orientation on the non-linear viscoelastic behaviour of continuous fibre polymer composites. Recent developments in durability analysis of composite systems, Cardon, Fukuda, Reifsnider & Verchery (ed.), 2000, Belkema, Rotterdam, pp. 375–379
Golden, H.J., An approach to characterize nonlinear viscoelastic material behaviour using dynamic mechanical tests and analyses, J. Appl. Mech. 66 (1999) 872–878 CrossRef
Straganac, T.W., Golden, H.J., Prediction of nonlinear viscoelastic behaviour using hybrid approach, Int. J. Solid Structures 33 (1996) 4651–4570