Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells

Journal of the Mechanics and Physics of Solids

Volumn 45, Issue 3, 1997, Pages 319-325

  Zhu, H X ^a   Knott, J F ^a   Mills, N J ^a  

^a UNIVERSITY OF BIRMINGHAM   (United Kingdom)

Author keywords

B. elastic material; B. foam material; B. polymeric materials; C. analytic functions; Moduli

Indexed keywords

BENDING (DEFORMATION); DENSITY (SPECIFIC GRAVITY); ELASTIC MODULI; ELASTICITY; MATHEMATICAL MODELS; POLYMERS; TORSIONAL STRESS;

OPEN CELL FOAMS; POISSON RATIO; SHEAR MODULI; TETRAKAIDECAHEDRAL CELLS;

FOAMED PLASTICS;

EID: 0031097530     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(96)00090-7     Document Type: Article

References (24)

1. Chan, R. and Nakamura, M. (1969) Mechanical properties of plastic foams. J. Cell. Plastics 5, 112-118.
2. Chen, C. P. and Lakes, R. S. (1995) Analysis of the structure-property relationship of foamed materials. Cell. Polym. 13, 187-202.
3. Choi, J. B. and Lakes, R. S. (1995) Analysis of elastic modulus of conventional foams and reentrant foam materials with a negative Poisson's ratio. Int. J. Mech. Sci. 37, 51-59.
4. Dement'ev, A. G. and Tarakanova, O. G. (1970a) Effect of cellular structure on the mechanical properties of plastics foams. Mekh. Polim. 6, 594; translation Poly. Mech. 6, 519-525.
5. Dement'ev, A. G. and Tarakanova, O. G. (1970a) Effect of cellular structure on the mechanical properties of plastics foams. Mekh. Polim. 6, 594; translation Poly. Mech. 6, 519-525.
6. Dement'ev, A. G. and Tarakanova, O. G. (1970b) Model analysis of plastics foams of the Polyurethane type. Mekh. Polim. 6, 859-865; translation Polym. Mech. 6, 744-749.
7. Dement'ev, A. G. and Tarakanova, O. G. (1970b) Model analysis of plastics foams of the Polyurethane type. Mekh. Polim. 6, 859-865; translation Polym. Mech. 6, 744-749.
8. Fenner, R. T. (1986) Engineering Elasticity. Ellis Horwood, Chichester.
9. Gent, A. N. and Thomas, A. G. (1959) The deformation of foamed elastic materials. J. Appl. Polym. Sci. 1, 107-113.
10. Gibson, L. J. and Ashby, M. F. (1982) The mechanics of three-dimensional cellular materials. Proc. R. Soc. Lond. A382, 43-59.
11. Gibson, L. J. and Ashby, M. F. (1988) Cellular Solids. Pergamon, Oxford.
12. Ko, W. L. (1965) Deformation of foamed elastomers. J. Cell. Plastics 1, 45-50.
13. Kraynik, A. M. and Warren, W. E. (1994) The elastic behaviour of low-density cellular plastics. In Low Density Cellular Plastics, ed. N. C. Hilyard and A. Cunningham, pp. 187-225. Chapman and Hall, London.
14. Lederman, J. M. (1971) The prediction of the tensile properties of flexible foams. J. Appl. Polym. Sci. 15, 696-703.
15. Love, A. E. H. (1944) A Treatise on the Mathematical Theory of Elasticity. Dover Publications, New York.
16. Mills, N. J. and Gilchrist, A. (1997) Creep and recovery of polyolefin foams - deformation mechanisms, to appear in J. Cell. Plastics 33.
17. Nye, J. F. (1957) Physical Properties of Crystals. Oxford University Press.
18. Plateau, J. (1873) Statique Experimentale et Theoretique des Liquides Soumis aux seules Forces Molecularies. Gauthier-Villars, Paris.
19. Reid, C. N. (1973) Deformation Geometry for Materials Scientists. Pergamon, Oxford.
20. Smith, C. J. (1948) Grains, phases and interfaces, an interpretation of microstructure. Trans. A.I.M.E. 175, 17-51.
21. Timoshenko, S. P. (1955) Strength of Materials Part 1 and Part 2. Van Nostrand, New York.
22. Thompson, W. (Lord Kelvin) (1887) On the division of space with minimum partitional energy. Phil. Mag. 24, 503.
23. Warren, W. E. and Kraynik, A. M. (1988) The linear elastic properties of open-cell foams. J. Appl. Mech. 55, 341-346.
24. Williams, R. E. (1968) Space-filling polyhedron: its relation to aggregates of soap bubbles, plant cells and metal crystallites. Science 161, 276-277.