Morphological elastic model of general hexagonal columnar structures

International Journal of Mechanical Sciences

Volumn 43, Issue 4, 2001, Pages 1027-1060

  Kim, H S ^a   Al Hassani, S T S ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); COLUMNS (STRUCTURAL); ELASTIC MODULI; MATHEMATICAL MODELS; POISSON RATIO; SHEAR DEFORMATION;

ELASTIC CONSTANTS; STRUT MORPHOLOGY;

STRUCTURAL ANALYSIS;

EID: 0035314171     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(00)00038-2     Document Type: Article

References (24)

1. Gibson L.J., Ashby M.F., Schajer G.S., Robertson C.I. The mechanics of two-dimensional cellular materials. Proceedings of the Royal Society of London. A382:1982;25-42.
2. Warren W.E., Kraynik A.M. Foam mechanics: the linear elastic response of two-dimensional spatially periodic cellular materials. Mechanics of Material. 6:1987;27-37.
3. Gibson L.J., Ashby M.F. Cellular solids: structure & properties. 1988;Pergamon Press, Oxford.
4. Klintworth J.W., Stronge W.J. Elasto-plastic yield limits and deformation laws for transversely crushed honeycombs. International Journal of Mechanical Sciences. 30:1988;273-292.
5. Gibson L.J., Ashby M.F., Zhang J., Triantafillou T.C. Failure surfaces for cellular materials under multimaxial loads I: Modelling. International Journal of Mechanical Sciences. 31:1989;635-663.
6. Triantafillou T.C., Zhang J., Shercliff T.L., Gibson L.J., Ashby M.F. Failure surfaces for cellular materials under multiaxial loads. II: Comparison of models with experiments. International Journal of Mechanical Sciences. 31:1989;665-678.
7. Gent A.N., Thomas A.G. Journal of Applied Polymer Science. 1:1959;107.
8. Gent A.N., Thomas A.G. Rubber Chemistry and Technology. 36:1963;597.
9. Ko W.L. Deformation of foamed elastomers. Journal of Cellular Plastics. 1:1965;45-50.
10. Menges G., Knipschild F. Estimation of mechanical properties for rigid polyurethane foams. Polymer Engineering Science. 15:1975;623-627.
11. Warren W.E., Kraynik A.M. The linear elastic properties of open-cell foams. Journal of Applied Mechanics. 55:1988;341-346.
12. Warren W.E., Kraynik A.M. The nonlinear elastic behaviour of open-cell foams. Journal of Applied Mechanics. 58:1991;376-381.
13. Gibson L.J., Ashby M.F. The mechanics of three-dimensional cellular materials. Proceedings of the Royal Society of London. A382:1982;43-59.
14. Gibson L.J. The mechanical behaviour of cancellous bone. Journal of Biomechanics. 18(5):1985;317-328.
15. Kraynik AM, Warren WE. Elastic behaviour of low-density cellular plastics. In: Hilyard, Cunningham, editors. Low density cellular plastics. London: Chapman & Hall, 1994.
16. Simone A.E., Gibson L.J. Effect of solid distribution on the stiffness and strength of metallic foams. Acta Material. 46:1998;2139-2150.
17. Silva M.J., Hayes W.C., Gibson L.J. The effect of non-periodic microstructure on the elastic properties of two-dimensional cellular solids. International Journal of Mechanical Sciences. 37:1995;1161-1177.
18. Gibson L.J., Ashby M.F. Cellular solids: structure & properties. 2nd ed. 1997;Pergamon Press, Oxford.
19. Boresi A.P., Schmidt R.J., Sidebottom O.M. Advanced mechanics of materials. 5 ed:1993;Wiley, New York.
20. Gere JM, Timoshenko SP. Mechanics of materials: 3rd SI ed. London: Chapman & Hall, 1991.
21. Jones R.M. Mechanics of composite materials. 1975;Hemisphere Publishing Corporation, London.
22. Gulati ST. Effects of cell geometry on thermal shock resistance of catalytic monoliths. SAE paper 750171, 1975.
23. Jensen K.S., Mosekilde Li., Mosekilde Le. A model of vertebral trabecular bone architecture and its mechanical properties. Bone. 11:1990;417-423.
24. Silva M.J., Gibson L.J. Modeling the mechanical behavior of vertebral trabecular bone: effects of age-related changes in microstructure. Bone. 21:1997;191-199.