Deformation and fracture of aluminium foams under proportional and non proportional multi-axial loading: Statistical analysis and size effect

International Journal of Mechanical Sciences

Volumn 46, Issue 2, 2004, Pages 217-244

  Blazy, J S ^a,b,c   Marie Louise, A ^a   Forest, S ^a   Chastel, Y ^b   Pineau, A ^a   Awade, A ^c   Grolleron, C ^c   Moussy, F ^c  

^a PSL RESEARCH UNIVERSITY   (France)

^b PSL RESEARCH UNIVERSITY   (France)

^c RENAULT   (France)

Author keywords

Aluminium foam; Constitutive behaviour; Fracture; Mechanical testing; Probability and statistics

Indexed keywords

DEFORMATION; FOAMS; FRACTURE; LOADS (FORCES); STATISTICAL METHODS; STRESSES; TENSORS;

ALUMINUM FOAMS; CELL SIZES; CONSTITUTIVE BEHAVIOR; MULTIAXIAL PROPERTIES;

ALUMINUM;

EID: 2942555386     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2004.03.005     Document Type: Article

References (37)

1. Ma L., Zhenlun S. Cellular structure control of aluminium foam during foaming process of aluminium melt. Scripta Materialia. 39(11):1998;1523-1528.
2. Simone A.E., Gibson L.J. Aluminium foams produced by liquid state processes. Acta Materialia. 46(10):1998;3109-3123.
3. Gibson L.J., Ashby M.F. Cellular solids. 2nd ed. 1997;Cambridge University press, Cambridge.
4. Ashby M.F., Evans A., Fleck N.A., Gibson L.J., Hutchinson J.W., Wadley H.N.G. Metal foam: a design guide. 2000;Butterworth, Heinemann, London.
5. McCullough K.Y.G., Fleck N.A., Ashby M.F. Uniaxial stress-strain behaviour of aluminium alloy foams. Acta Materialia. 47(8):1999;2323-2330.
6. Bart-Smith H., Bastawros A.F., Mumm D.R., Evans A.G., Sypeck D.J., Wadley H.N.G. Compressive deformation and yielding mechanisms in cellular Al alloys determined using X-ray tomography and surface strain mapping. Acta Materialia. 46:1998;3583-3592.
7. Chastel Y, Hudry E, Forest S, Petour-Chansac C. Mechanical behaviour of aluminium foams for various deformation paths: experiments and modelling. In: Banhart NFJ, Ashby MF, editors. Metal foam and porous metal structures. Berlin: Verlag MIT Publishing; 1999. pp. 263-8.
8. Andrews E., Sanders W., Gibson L.J. Compressive and tensile behaviour of aluminum foams. Material Science and Engineering A. 270:1999;113-124.
9. 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.
10. Gioux G., McCormack T.M., Gibson L.J. Failure of aluminium foams under multiaxial loads. International Journal of Mechanical Sciences. 42:2000;1097-1117.
11. Deshpande V., Fleck N. Isotropic constitutive models for metallic foams. Journal of Mechanics and Physics of Solids. 48:2000;1253-1283.
12. Deshpande V., Fleck N. Multi-axial yield behaviour of polymer foams. Acta Materialia. 49:2001;1859-1866.
13. Chen C., Fleck N., Lu T. The mode I crack growth resistance of metallic foams. Journal of Mechanics and Physics of Solids. 49:2001;231-259.
14. 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.
15. Andrews E., Gioux G., Onck P., Gibson L. Size effects in ductile cellular solids. part II. experimental results International Journal of Mechanical Sciences. 43:2001;701-713.
16. Andrews E., Gibson L. The influence of cracks, notches and holes on the tensile strength of cellular solids. Acta Materialia. 49:2001;2975-2979.
17. Onck P.R. Application of a continuum constitutive model to metallic foam DEN-specimens in compression. International Journal of Mechanical Sciences. 43:2001;2947-2959.
18. Huang J.S., Gibson L.J. Fracture toughness of brittle foams. Acta Metallurgica and Materiala. 39(7):1991;1627-1636.
19. Gibson L.J., Ashby M.F., Zhang J., Triantafillou T.C. Failure surfaces for cellular materials under multiaxial loads. I. modelling International Journal of Mechanical Sciences. 31:1989;635-664.
20. Miller A. A continuum plasticity model for the constitutive and indentation behaviour of foamed metals. International Journal of Mechanical Sciences. 42:2000;729-754.
21. Badiche X., Forest S., Guibert T., Bienvenu Y., Bartout J.-.D., Ienny P., Croset M., Bernet H. Mechanical properties and non-homogeneous deformation of open-cell nickel foams. application of the mechanics of cellular solids and of porous materials Materials Science and Engineering A. A289:2000;276-288.
22. Hanssen A.G., Hopperstad O.S., Langseth M., Ilstad H. Validation of constitutive models applicable to aluminium foams. International Journal of Mechanical Sciences. 44:2002;359-406.
23. Besson J., Abouaf M. Microstructural changes in alumina during HIP. Material Science and Engineering A. 109:1989;37-43.
24. Weibull W. A statistical distribution function of wide applicability. Journal of Applied Mechanics. 9:1951;293-297.
25. Evans A.G., Jones R.L. Evaluation of a fundamental approach for the statistical analysis of fracture. Journal of American Ceramic Society. 61:1978;156-160.
26. Beremin F.M. A local criterion for cleavage fracture of a nuclear pressure vessel steel. Metallurgical and Materials Transactions A. 14:1983;2277-2287.
27. Markaki A.E., Clyne T.W. The effect of cell wall microstructure on the deformation and fracture of aluminium-based foams. Acta Materialia. 49:2001;1677-1686.
28. Benouali A-H, Froyen L. On the mechanical and microstructural characterisation of aluminium foams. In: Banhart NAFJ, Ashby MF, editors. Cellular metals and metal foaming technology. Berlin: Verlag MIT Publishing; 2001. pp. 269-72.
29. Elmoutaouakkail A, Salvo L, Maire E, Peix G. 2D and 3D characterisation of metal foams using X-ray tomography. In: Banhart NAFJ, Ashby MF, editors. Cellular metals and metal foaming technology. Berlin: Verlag MIT Publishing; 2001. pp. 245-50.
30. Beals J.T., Thompson M.S. Density gradient effects on aluminium foam compression behaviour. Journal of Materials Science. 47(13):1997;3595-3600.
31. Sugimura Y., Meyer J., He M., Bart-Smith H., Grenestedt J., Evans A. On the mechanical performance of closed cell Al alloy foams. Acta Materialia. 45(12):1997;5245-5259.
32. Bastawros A.F., Bart-Smith H., Evans A.G. Experimental analysis of deformation mechanisms in a closed-cell aluminum alloy foam. Journal of the Mechanics and Physics of Solids. 48:2000;301-322.
33. Lamon J., Evans A. Statistical analysis of bending strengths for brittle solids. Journal of American Ceramic Society. 66:1983;177-182.
34. Huang J.S., Gibson L.J. Fracture toughness of brittle honeycombs. Acta Metallurgica and Materialia. 39(7):1991;1617-1626.
35. Tuliani J.-.M., Montanaro L., Bell T.J., Swain M.V. Semiclosed-cell mullite foams. preparation and macro and micromechanical characterization Journal of the American Ceramic Society. 82(4):1999;961-968.
36. Colombo P., Heilmann J.R., Shelleman E.L. Mechanical properties of silicon oxycarbide ceramic foam. Journal of the American Ceramic Society. 84(10):2001;2245-2251.
37. Blazy J-S. Comportement mécanique des mousses d'aluminium: caractérisations expérimentales sous sollicitations complexes et simulations numériques dans le cadre de l'élasto-plasticité compressible. PhD, Ecole des Mines de Paris, 2003.