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Scale Effects in Cellular Metals

Published online by Cambridge University Press:  31 January 2011

P.R. Onck
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Abstract

Scale effects in cellular metals can develop when the specimen size is of the order of the cell size. Decreasing the relevant specimen dimensions—height, width, and ligament size (the region between notches in notched specimens)—leads to material strengthening in shear, in indentation, and in notched specimens and to reduced strength and stiffness in uniaxial compression. Experimental size-effect studies were reviewed, and it was concluded from discrete modeling results that scale effects are caused by two different microstructural mechanisms: boundary-layer effects and constraint effects. The first mechanism is active in shear (strong boundary layers) and uniaxial compression (weak boundary layers) and vanishes for specimens larger than two cell sizes and seven cell sizes, respectively. The second mechanism is active in indentation and in notched specimens, leading to a strengthening behavior that is inversely proportional to indenter and ligament size.

Keywords

cellular metalsmechanical propertiessize effects
Type
Research Article
Information
MRS Bulletin , Volume 28 , Issue 4: Cellular Solids , April 2003 , pp. 279 - 283
Copyright
Copyright © Materials Research Society 2003

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References

1.Ashby, M.F., Evans, A.G., Fleck, N.A., Gibson, L.J., Hutchinson, L.W., and Wadley, H.G., Metal Foams: A Design Guide (Butterworth-Heinemann, Oxford, UK, 2000).Google Scholar
2.Evans, A.G., Hutchinson, J.W., and Ashby, M.F., Prog. Mater. Sci. 43 (1998) p. 171.CrossRefGoogle Scholar
3.Andrews, E.W., Gioux, G., Onck, P.R., and Gibson, L.J., Int. J. Mech. Sci. 34 (2000) p. 701.Google Scholar
4.Bastawros, A.-F., Bart-Smith, H., and Evans, A.G., J. Mech. Phys. Solids 48 (2000) p. 301.CrossRefGoogle Scholar
5.Chen, C. and Fleck, N.A., J. Mech. Phys. Solids 50 (2002) p. 955.CrossRefGoogle Scholar
6.Olurin, O.B., Fleck, N.A., and Ashby, M.F., Scripta Mater. 43 (2000) p. 983.CrossRefGoogle Scholar
7.Onck, P.R. and Bastawros, A.-F., in Advances in Mechanical Behaviour, Plasticity and Damage, edited by Miannay, D., Costa, P., Francois, D., and Pineau, A. (Elsevier, Amsterdam, 2000) p. 717.Google Scholar
8.Onck, P.R., Maki, A.A., and Bastawros, A.-F. (unpublished manuscript).Google Scholar
9.Olurin, O.B., Fleck, N.A., and Ashby, M.F., Mater. Sci. Eng., A 291 (2000) p. 136.CrossRefGoogle Scholar
10.Andrews, E.W. and Gibson, L.J., Scripta Mater. 44 (2001) p. 1005.CrossRefGoogle Scholar
11.Motz, C. and Pippan, R., Acta Mater. 49 (2001) p. 2463.CrossRefGoogle Scholar
12.Sugimura, Y., Meyer, J., He, M.Y., Bart-Smith, H., Grenestedt, J., and Evans, A.G., Acta Mater. 45 (1997) p. 5245.CrossRefGoogle Scholar
13.Paul, A., Seshacharyulu, T., and Rama-murty, U., Scripta Mater. 40 (1999) p. 809.CrossRefGoogle Scholar
14.Onck, P.R., Andrews, E.W., and Gibson, L.J., Int. J. Mech. Sci. 34 (2000) p. 681.Google Scholar
15.Gibson, L.J. and Ashby, M.F., Cellular Solids: Structure and Properties, 2nd ed. (Cambridge University Press, Cambridge, 1997).CrossRefGoogle Scholar
16.Chen, C., Lu, T.J., and Fleck, N.A., J. Mech. Phys. Solids 47 (1999) p. 2235.CrossRefGoogle Scholar
17.Onck, P.R., J. Phys. IV 11 (2001) p. 211.Google Scholar
18.Andrews, E.W. and Gibson, L.J., Acta Mater. 49 (2001) p. 2975.CrossRefGoogle Scholar
19.Andrews, E.W. and Gibson, L.J., Mater. Lett. 57 (3) (2002) p. 53.CrossRefGoogle Scholar