The influence of viscosity on the response of open-cell polymeric foams in uniaxial compression: Experiments and theoretical model

Continuum Mechanics and Thermodynamics

Volumn 24, Issue 3, 2012, Pages 181-199

  Del Piero, Gianpietro ^a   Pampolini, Giampiero ^b  

^a UNIVERSITY OF FERRARA   (Italy)

^b LABORATOIRE DE MÉCANIQUE ET D ACOUSTIQUE   (France)

Author keywords

Non convex strain energy; Polymeric foams; Rate dependence; Solid solid phase transition; Strain localization

Indexed keywords

CYCLIC TESTS; EFFECT OF STRAIN; HYSTERETIC BEHAVIOR; MEMORY EFFECTS; NONCONVEXITY; NONLINEAR ELASTICITY; NONLINEAR ELASTICS; OPEN-CELL; OPEN-CELL FOAMS; POLYMERIC FOAMS; RATE DEPENDENCE; REPEATED LOADING; SOLID-SOLID PHASE TRANSITIONS; STRAIN LOCALIZATIONS; THEORETICAL MODELS; UNI-AXIAL COMPRESSION; VISCO-ELASTIC; VISCOELASTIC ELEMENTS; VISCOUS EFFECT;

ELASTICITY; EXPERIMENTS; LOADING;

POLYMERS;

EID: 84861233879     PISSN: 09351175     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00161-011-0230-9     Document Type: Article

References (31)

1. Amin, A.F.M.S., Lion, A., Sekita, S., Okui, Y.: Nonlinear dependence of viscosity in modeling the rate-dependent response of natural and high damping rubbers in compression and shear: experimental identification and numerical verification. Int. J. Plasticity 22, 1610-1657 (2006)
2. Bardenhagen, S.G., Brydon, A.D., Guilkey, J.E.: Insight into the physics of foam densification via numerical. Simulation. J. Mech. Phys. Solids 53, 597-617 (2005) (Pubitemid 40120646)
3. Beatty, M.F., Krishnaswamy, S.: A theory of stress-softening in incompressible isotropic materials. J. Mech. Phys. Solids 48, 1931-1965 (2000)
4. Besdo, D., Ihlemann, J.: Properties of rubberlike materials under large deformations explained by self-organizing linkage patterns. Int. J. Plasticity 19, 1001-1018 (2003)
5. Bueche, F.: Mullins effect and rubber-filler interaction. J. Appl. Polymer Sci. 15, 271-281 (1961)
6. DeSouza Neto, E.A., Perić, D., Owen, D.R.: A phenomenological three-dimensional rate-indipendent continuum damage model for highly filled polymers: formulation and computational aspects. J. Mech. Phys. Solids 42, 1533-1550 (1994)
7. De Tommasi, D., Puglisi, G., Saccomandi, G.: A micromechanics-based model for the Mullins effect. J. Rheol. 50, 495-512 (2006) (Pubitemid 44447608)
8. Dorfmann, A., Ogden, R.W.: A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber. Int. J. Solids Struct. 40, 2699-2714 (2003) (Pubitemid 36615187)
9. Drozdov, A.D., Dorfmann, A.: A micro-mechanical model for the response of filled elastomers at finite strains. Int. J. Plasticity 19, 1037-1067 (2003)
10. Ericksen, J.L.: Equilibrium of bars. J. Elast. 5, 191-201 (1975)
11. Gibson, L.J., Ashby, M.F.: Cellular Solids: Structure and Properties. 2nd edn. Cambridge University Press, Cambridge (1997)
12. Gioia, G., Wang, Y., Cuitiño, A.M.: The energetics of heterogeneous deformation in open-cell solid foams. Proc. R. Soc. Lond. A 457, 1079-1096 (2001)
13. Gong, L., Kyriakides, S.: Compressive response of open-cell foams. Part II: initiation and evolution of crushing. Int. J. Solids Struct. 42, 1381-1399 (2005)
14. Haupt, P., Lion, A., Backhaus, E.: On the dynamic behaviour of polymers under finite strains: constitutive modelling and identification of parameters. Int. J. Solids Struct. 37, 3633-3646 (2000) (Pubitemid 30564139)
15. Jang, W.-Y., Kraynik, A.M., Kyriakides, S.: On the microstructure of open-cell foams and its effect on elastic properties. Int. J. Solids Struct. 45, 1845-1875 (2008)
16. Koeller, R.C.: Applications of fractional calculus to the theory of viscoelasticity. ASME J. Appl. Mech. 51, 299-307 (1984) (Pubitemid 14583151)
17. Lakes, R., Rosakis, P., Ruina, A.: Microbuckling instability in elastomeric cellular solids. J. Mater. Sci. 28, 4667-4672 (1993) (Pubitemid 23712417)
18. Laroussi, M., Sab, K., Alaoui, A.: Foam mechanics: nonlinear response of an elastic 3D-periodic microstructure. Int. J. Solids Struct. 39, 3599-3623 (2002) (Pubitemid 34801322)
19. Lion, A.: A constitutive model for carbon black filled rubber. Experimental investigations and mathematical representations. Continuum Mech. Thermodyn. 8, 153-169 (1996) (Pubitemid 126313193)
20. Markert, B.: A biphasic continuum approach for viscoelastic high-porosity foams: comprehensive theory, numerics, and applications. Arch. Comput. Methods Eng. 15, 371-446 (2008)
21. 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, 323-365 (2000) (Pubitemid 30541866)
22. Mullins, L., Tobin, N.R.: Theoretical model for the elastic behavior of filler-reinforced vulcanized rubbers. Rubber Chem. Technol. 30, 555-571 (1957)
23. Ogden, R.W., Roxburg, D.G.: A pseudo-elastic model for the Mullins effect in filled rubber. Proc. R. Soc. Lond. A 455, 2861-2877 (1999)
24. Pampolini, G., Del Piero, G.: Strain localization in open-cell polyurethane foams: experiments and theoretical model. J. Mech. Mater. Struct. 3, 969-981 (2008)
25. Pampolini, G., Raous, M.: Non linear elasticity, viscosity and damage for polymeric foams (2011, submitted)
26. Roberts, A.P., Garboczi, E.J.: Elastic properties of model random three-dimensional open-cell solids. J. Mech. Phys. Solids 50, 33-55 (2002) (Pubitemid 33089065)
27. Sorrentino, L., Aurelia, M., Iannace, S.: A simple method to predict high strain rates mechanical behavior of low interconnected cell foams. Polym. Test. 26, 878-885 (2000)
28. Wang, Y., Cuitiño, A.N.: Full-field measurements of heterogeneous deformation patterns on polymeric foams using digital image correlation. Int. J. Solids Struct. 39, 3777-3796 (2002) (Pubitemid 34801330)
29. Warren, W.E., Kraynik, A.M.: Linear elastic behavior of a low-density Kelvin foam with open cells. ASME J. Appl. Mech. 64, 787-793 (1997)
30. White, S.W., Kim, S.K., Bajaj, A.K., Davis, P.: Experimental techniques and identification of nonlinear and viscoelastic properties of flexible polyurethane foam. Nonlinear Dyn. 22, 281-313 (2000)
31. Zhu, H.X., Mills, N.J., Knott, J.F.: Analysis of the high strain compression of open-cell foams. J. Mech. Phys. Solids 45, 1875-1904 (1997) (Pubitemid 127397164)