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Un modèle viscoélastique pour la réponse des mousses polymériques à la compression cyclique

Published online by Cambridge University Press:  05 August 2009

Gianpietro Del Piero  and
Giampiero Pampolini
Gianpietro Del Piero
Affiliation:
Dipartimento di Ingegneria, Università di Ferrara, Via Saragat 1, 44100 Ferrara, Italie
Giampiero Pampolini
Affiliation:
Dipartimento di Ingegneria, Università di Ferrara, Via Saragat 1, 44100 Ferrara, Italie Laboratoire de Mécanique et d'Acoustique, 31 chemin Joseph-Aiguier, 13402 Marseille, France
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Abstract

Sous compression cyclique, les mousses polymériques montrent une perte progressive de résistance lorsque le nombre de cycles augmente. Le recouvrement de résistance après une période de repos suggère que ce comportement puisse être décrit par un effet de mémoire à long terme. On propose un modèle viscoélastique fondé sur la coexistence d'une énergie élastique non convexe et d'une dissipation de type visqueux. Des essais expérimentaux montrent la bonne correspondance entre le modèle et le comportement observé.

Keywords

Polymeric foamsstrain localizationnonconvex energiesviscous dissipationlong-term memoryMousse polymériquelocalisation des déformationsénergie non convexedissipation visqueusemémoire à long terme
Type
Research Article
Information
Mechanics & Industry , Volume 10 , Issue 3-4: 19e Congrès français de mécanique (CFM 2009) , May 2009 , pp. 261 - 266
Copyright
© AFM, EDP Sciences, 2009

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References

Bardenhagen, S.G., Brydon, A.D., Guilkey, J.E., Insight into the physics of foam densification via numerical simulation. J. Mech. Phys. Solids 53 (2005) 597–617
Beatty, M.F., Krishnaswamy, S., A theory of stress-softening in incompressible isotropic materials. J. Mech. Phys. Solids 48 (2000) 1931–1965
Dorfmann, A., Ogden, R.W., A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber, Int. J. Solids Struct. 40 (2003) 2699–2714 CrossRef
L.J. Gibson, M.F. Ashby, Cellular Solids: Structure and Properties, Cambridge University Press, second edition, 1997
Gong, L., Kyriakides, S., On the crushing stress of open cell foams, Journal of Applied Mechanics 73 (2007) 807–814 CrossRef
R. Gorenflo, F. Mainardi, Fractional calculus: integral and differential equations of fractional order, Fractals and fractional calculus in continuum mechanics, in: A. Carpinteri, F. Mainardi (éd.), CISM Courses and Lectures, 378, Springer, Vienna, 1997, pp. 223–276
Heymans, N., Bauwens, J.C., Fractal Rheological Models and Fractional Differential Equations for Viscoelastic Behaviour, Rheologica Acta 33 (1994) 210–219 CrossRef
Koeller, R.C., Applications of Fractional Calculus to the Theory of Viscoelasticity, Journal of Applied Mechanics 51 (1984) 299–307 CrossRef
Lakes, R., Rosakis, P., Ruina, A., Microbuckling instability in elastomeric cellular solids, J. Mater. Sci. 28 (1993) 4667–4672 CrossRef
Lion, A., A constitutive model for carbon black filled rubber, experimental investigations and mathematical representations, Continuum Mech. Thermodyn. 8 (1996) 153–169 CrossRef
Lion, A., On the thermodynamics of fractional damping elements, Continuum Mech. Thermodyn. 9 (1997) 83–96 CrossRef
Miehe, C., Keck, J., Superimposed finite elastic-viscoelastic-plastoelastic stress response with damage in filled rubbery polymers, experiments, modelling and algorithmic implementation, J. Mech. Phys. Solids 48 (2000) 323–365 CrossRef
Mullins, L., Softening of rubber by deformation, Rubber Chem. Technol. 42 (1969) 339–362 CrossRef
Mullins, L., Tobin, N.R., Theoretical model for the elastic behavior of filler-reinforced vulcanized rubbers, Rubber Chem. Technol. 30 (1957) 555–571 CrossRef
Pampolini, G., Del Piero, G., Strain localization in open-cell polyurethane foams: experiments and theoretical model, Journal of Mechanics of Materials and Structures 3 (2008) 969–981 CrossRef
Puglisi, G., Truskinovsky, L., Mechanics of a discrete chain with bi-stable elements, J. Mech. Phys. Solids 48 (2000) 1–27 CrossRef
Wang, Y., Cuitinho, A.M., Full-field measurements of heterogeneous deformation patterns on polymeric foams using digital image correlation, Int. J. Solids Struct. 39 (2002) 3777–3796 CrossRef