The high strain mechanical response of the wet Kelvin model for open-cell foams

International Journal of Solids and Structures

Volumn 44, Issue 1, 2007, Pages 51-65

  Mills, N J ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

Compression; FEA; Foam; Modelling

Indexed keywords

COMPACTION; COMPUTER SOFTWARE; ELASTIC MODULI; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRAIN MEASUREMENT; STRESS ANALYSIS;

COMPRESSIVE DEFORMATION; MODELING; OPEN-CELL FOAMS; WET KELVIN MODELS;

FOAMS;

EID: 33750703625     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.04.014     Document Type: Article

References (28)

1. ABAQUS 6.5, 2005. User's manual (especially vol. 3, Section 20.2.1 Linear Constraint Equations) Hibbitt, Karlsson and Sorensen Inc.
2. Brakke K.A., and Sullivan J.M. Using symmetry features of the Surface Evolver to study foams. In: Polthier K., and Hege H.C. (Eds). Mathematics and Visualisation (1997), Springer-Verlag, Berlin
3. Cox S.J., Bradley G., Hutzler S., and Weaire D. Vertex corrections in the theory of foam drainage. J. Phys.: Condens. Matter 13 (2001) 4863-4869
4. Dement'ev A.G., and Tarakanov O.G. Effect of cellular structure on the mechanical properties of plastic foams. Polym. Mech. 6 (1970) 519-525
5. Gan Y.X., Chen C., and Shen Y.P. Three-dimensional modelling of the mechanical property of linearly elastic open cell foams. Int. J. Solids Struct. 42 (2005) 6628-6642
6. Gibson L.J., and Ashby M.F. Cellular Solids (1988), Pergamon, Oxford
7. Gong L., and Kyriakides S. Compressive response of open-cell foams, Part 2 Initiation and evolution of crushing. Int. J. Solids Struct. 42 (2005) 1381-1399
8. Gong L., Kyriakides S., and Jang W.Y. Compressive response of open-cell foams, Part 1 Morphology and elastic properties. Int. J. Solids Struct. 42 (2005) 1355
9. Gong L., Kyriakides S., and Triantafyllidis N. On the stability of Kelvin cell foams under compressive loads. J. Mech. Phys. Solids 53 (2005) 771-794
10. Grenestedt J.L., and Tanaka K. Influence of cell shape variations on elastic stiffness of closed cell cellular solids. Scripta Mater. 40 (1999) 71-77
11. Javaview, 2004. Available from: .
12. Kraynik A.M., Neilsen M.K., Reinelt D.A., and Warren W.E. Foam micromechanics. In: Sadoc J., and Rivier N. (Eds). Foams and Emulsions (1999), Kluwer 259-286
13. Laroussi M., Sab K., and Alaoui A. Foam mechanics: nonlinear response of an elastic 3D-periodic microstructure. Int. J. Solids Struct. 39 (2002) 3599-3623
14. Mills N.J. The wet Kelvin model for air flow through polyurethane open-cell foams. J. Mater. Sci. 40 (2005) 5845-5851
15. Mills N.J., and Gilchrist A. The high strain extension of open cell foams. J. Eng. Mater. Technol., ASME 122 (2000) 67-73
16. Phelan R., Weaire D., et al. The conductivity of a foam. J. Phys.: Condens. Matter 8 (1996) L475-L482
17. Phelan R., Weaire D., and Brakke K. Computation of equilibrium foam structures using the surface evolver. Exp. Math. 4 (1995) 181-191
18. Rhinoceros, nurbs modelling for Windows, 2002. From Robert McNeel & Associates, Seattle.
19. Surface Evolver, 2004. Available from: .
20. Thomson W. On the division of space with minimum partitional area. Philos. Mag. 24 (1887) 503 reproduced in
21. Thomson W. On the division of space with minimum partitional area. In: Weaire D. (Ed). The Kelvin Problem (1996), Taylor and Francis
22. Van der Heide E., van Asselen O.L.J., Ingenbleek G.W.H., et al. Tensile deformation behaviour of the polymer phase of flexible polyurethane foams and polyurethane elastomers. Macromol. Symp. 147 (1999) 127-137
23. Van der Schuur M., van der Heide E., et al. Elastic behaviour of flexible polyether (urethane-urea) foam materials. Polymer 45 (2004) 2721-2727
24. Warren W.E., and Kraynik A.M. Linear elastic behaviour of a low-density Kelvin foam with open cells. ASME J. Appl. Mech. 64 (1997) 787-794
25. Warren W.E., Neilsen M.K., and Kraynik A.M. Torsional rigidity of a Plateau Border. Mech. Res. Commun. 24 (1997) 667-672
26. Zhu H.X., Mills N.J., and Knott J.F. Analysis of the high strain compression of open-cell foams. J. Mech. Phys. Solids 45 (1997) 1875-1904
27. Zhu H.X., Knott J.F., and Mills N.J. Analysis of the elastic constants of open cell foams having tetrakaidecahedral cells. J. Mech. Phys. Solids 45 (1997) 319-343
28. Zhu H.X., Hobdell J.R., and Windle A. Effects of cell irregularity on the elastic properties of open-cell foams. Acta Mater. 48 (2002) 4893-4900