Numerical Modelling of Metal Foams with Weaire-Phelan Cell

Article Preview

Abstract:

The mechanical properties of open-cell metal foam structures are investigated using the finite element method. The foam structure is modelled by a regular network of anisotropic Weaire-Phelan cells in which the strands are modelled as 3D finite element beams. We consider four types of strand cross sections: (i) circular, (ii) square, (iii) triangular and (iv) Plateau border shape. The numerical results obtained with our proposed mathematical model are checked against the experimental results obtained on real Nickel metallic foam and an excellent agreement is found. In addition, we conducted a parametric analysis to study the effect of some geometrical characteristics on the elasticity of the metal foam. Among these geometrical parameters, the shape, the dimensions of strand cross section, the inertia, the alignment of strands and the structural network irregularities are investigated, discussed and documented.

You might also be interested in these eBooks

Info:

Periodical:

Defect and Diffusion Forum (Volumes 334-335)

Pages:

122-126

Citation:

Online since:

February 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M.F. Ashby, A. Evans, N.A. Fleck, L.J. Gibson, J.W. Hutchinson and H.N.G. Wadley: Metal foams: a design guide (Oxford, Butterworth-Heinemann, 2000).

DOI: 10.1016/b978-075067219-1/50001-5

Google Scholar

[2] L.J. Gibson and M. F. Ashby: Proc. R. Soc. London A Vol. 382 (1982), p.43

Google Scholar

[3] M.F. Ashby: Metall Trans, 14A (1983), p.1755.

Google Scholar

[4] J.L. Grenestedt: Int. J. Sol. Struct. Vol. 36 (1999), p.1471

Google Scholar

[5] R.M. Christensen: Int. J. Sol. Struct. Vol. 37 (2000), p.93

Google Scholar

[6] M.H. Luxner: Modeling and simulation of highly porous open cell structures – elasto-plasticity and localization versus disorder and defects (Ph.D. thesis, Vienna University of Technology, Vienna, Austria, 2006).

DOI: 10.1007/978-1-4020-9404-0_14

Google Scholar

[7] M.H. Luxner, J. Stampfl and H.E. Pettermann: Linear and nonlinear numerical investigations of regular open cell structures (In: Proceedings of ASME International Mechanical Engineering Congress, Anaheim, USA, 2004).

DOI: 10.1115/imece2004-62545

Google Scholar

[8] M.H. Luxner, J. Stampfl and H.E. Pettermann: J. Mat. Sci. Vol. 40 (2005), p.5859

Google Scholar

[9] M.H. Luxner, J. Stampfl, A. Woesz, P. Fratzl and H.E. Pettermann: Influence of structural disorder on the performance of 3D open cell structures (In: Proceedings of ECCM2006, Lisbon, Portugal. No. 1752, 2006).

DOI: 10.1007/1-4020-5370-3_514

Google Scholar

[10] T. Dillard, F. NGuyen, E.Maire, L. Salvo, S. Forest, Y. Bienvenu, J.D. Bartout, M. Croset , R. Dendievel, P. Cloetens:  Phil. Mag. Vol. 85 (2005), p.2147.

DOI: 10.1080/14786430412331331916

Google Scholar

[11] T. Dillard, F. NGuyen, S. Forest, Y. Bienvenu, J.D. Bartout, L. Salvo, R. Dendievel, E. Maire, P. Cloetens and C. Lantuejoul : In-situ observation of tensile deformation of open-cell nickel foams by means of X-ray microtomography (In: Cellular Metals Manufacture Properties Applications, ed. by J. Banhart, N.A. Fleck and A. Mortensen, Verlag MIT Publishing, pp.419-424, 2003).

DOI: 10.1080/14786430412331331916

Google Scholar

[12] H.X. Zhu and A.H. Windle: Acta Mater. Vol. 50 (2002), p.1041

Google Scholar