Benefits of metal foams and developments in modelling techniques to assess their materials behaviour: a review

References

• Banhart J: ‘Manufacture: characterisation, andapplication of cellular materials and metal foams’, Prog.Mater. Sci., 2001, 46, 559–632.
   Web of Science ®Google Scholar
• Ashby MF, Evans A, Fleck NA, Gibson LJ, Hutchinson JW, Wadley HNG: ‘Metal foams: a design guide’, 1stedn; 2000, Boston, MA, Butterworth-Heinemann.
   Google Scholar
• Evans AG, Hutchinson JW, Fleck NA, Ashby MF, Wadley HNG: ‘The topological design of multifunctionalcellular metals’, Prog. Mater. Sci., 2001, 46, 309–327.
   Web of Science ®Google Scholar
• Sosnick B: US Patent 2,434,775, 1948.
   Google Scholar
• Elliot JC: US Patent 2,751,289, 1956.
   Google Scholar
• Banhart J, Weaire D: ‘On the road again: metal foams findfavour’, Phys. Today, Jul. 2002.
   Web of Science ®Google Scholar
• Babcsan N, Banhart J: ‘Towards high-temperature colloid chemistry,contribution to colloidal particles at liquid interfaces’,(ed. , Binks B P, Horozov T S, ed), 445–499; 2006, Cambridge, CambridgeUniversity Press.
   Google Scholar
• Akiyama S, Imagawa K, Kitahara A, Nagata S, Morimoto K, Nishikawa T, Itoh M: European Patent Application 0 210 803 A1, 1986.
   Google Scholar
• Baumeister J: ‘Verfahren zur Herstellung poröserMetallkörper’, German Patent 4,018,360, 1991.
   Google Scholar
• Baumeister J: in‘Cellular metalsand foaming technology’(, Banhart J, et al..), 155–160; 2001, Bremen, Verlag–MIT.
   Google Scholar
• Banhart J, Baumeister J: ‘Production methods for metallic foams’, Mater.Res. Soc. Symp. Proc., 1998, 521, 121–132.
   Google Scholar
• Koerner C, Hirschmann M, Wiehler H: ‘Integral foam moulding of light metals’, Mater.Trans., 2006, 47, 2188–2194.
   Web of Science ®Google Scholar
• Koerner C: ‘Integral foam molding of light metals:technology, foam physics and foam simulation’; 2008, Berlin, Springer-Verlag.
   Google Scholar
• Leitlmeier D, Flankl H: in‘Cellular metalsand foaming technology’(, Banhart J, et al..), 171–174; 2001, Bremen, Verlag–MIT.
   Google Scholar
• ‘Diffusionbonding of aluminium and aluminium alloys’, USPatent 4,948,457, 14 August 1990.
   Google Scholar
• Gergely V, Clyne TW: ‘The FORMGRIP process: foaming of reinforcedmetals by gas release in precursors’, Adv. Eng.Mater., 2000, 2, 175–178.
   Web of Science ®Google Scholar
• Frei J, Gergely V, Mortensen A, Clyne TW: ‘The effect of prior deformation onthe foaming behaviour of “FORMGRIP” precursor material’, Adv.Eng. Mater., 2000, 4, 749–752.
   Web of Science ®Google Scholar
• Ashby MF, Gibson LJ: ‘Cellular solids structure and properties’, 1stedn; 1988, Oxford, PergamonPress.
   Google Scholar
• Onck PR, Andrews EW, Gibson LJ: ‘Size effects in ductile cellular solids:part I modeling’, Int. J. Mech. Sci., 2001, 43, 681–699.
   Web of Science ®Google Scholar
• Chen C, Lu TJ, Fleck NA: ‘Effect of imperfections on the yieldingof two-dimensional foams’, J. Mech. Phys. Solids, 1999, 47, 2235–2272.
   Web of Science ®Google Scholar
• Simone AE, Gibson LJ: ‘Effects of solid distribution on thestiffness and strength of metallic foams’, ActaMater., 1998, 46, (6), 2139–2150.
   Google Scholar
• Hodge AM, Dunand DC: ‘Measurement and modeling of creep inopen-cell NiAl foams’, Metall. Mater. Trans.A, 2003, 34A, 2353–2363.
   Web of Science ®Google Scholar
• Shulmeister V, van der Burg MWD, van der Giessen E, Marissen R: ‘A numerical study of large deformationsof low-density elastomeric open-cell foams’, Mech.Mater., 1998, 30, 125–140.
   Web of Science ®Google Scholar
• Huang J.-S, Gibson LJ: ‘Creep of open-cell Voronoi foams’, Mater.Sci. Eng. A, 2003, A339, 220–226.
   Google Scholar
• Silva MJ, Hayes WC, Gibson LJ: ‘The effect of non-periodic microstructureon the elastic properties of two-dimensional cellular solids’, Int.J. Mech. Sci., 1995, 37, 1161–1177.
   Web of Science ®Google Scholar
• Zhu HX, Hobdell JR, Windle AH: ‘Effects of cell irregularity on theelastic properties of open-cell foams’, ActaMater., 2000, 48, 4893–4900.
   Google Scholar
• Ashby MF, Lu T: ‘Metal foams: a survey’, Sci.China B, 2003, 46B, (6), 521–532.
   Google Scholar
• Niu M: ‘Composite airframe structures’, 2ndedn; 1996, Hong Kong, HongKong Conmilit Press Ltd.
   Google Scholar
• ‘Sheartest in flatwise plane of flat sandwich constructions or sandwich cores’, C-273-61, AmericanSociety for Testing and Materials, Philadelphia,WA, USA.
   Google Scholar
• ‘Standardtest methods for tension testing of metallic materials’, E8-96a, AmericanSociety for Testing and Materials, Philadelphia,WA, USA.
   Google Scholar
• Andrews EW, Sanders W, Gibson LJ: ‘Compressive and tensile behavior ofaluminum foams’, Mater. Sci. Eng. A, 1999, A270, 113–124.
   Web of Science ®Google Scholar
• Andrews EW, Gioux G, Onck P, Gibson LJ: ‘Size effects in ductile cellular solids.Part II: experimental results’, Int. J. Mech.Sci., 2001, 43, 701–713.
   Web of Science ®Google Scholar
• Bart-Smith H, Bastawros A.-F, Mumm DR, Evans AG, Sypeck D, Wadley HG: ‘Compressive deformation and yieldingmechanisms in cellular Al alloys determined using X-ray tomography and surfacestrain mapping’, Acta Mater., 1998, 46, 3583–3592.
   Web of Science ®Google Scholar
• Worsfold M: ‘The effect of corrosion on the structuralintegrity of commercial aircraft structure’, in ‘Fatiguein the presence of corrosion’, RTO-MP-18, 1998, Cedex, NATOResearch and Technology Organization.
   Google Scholar
• Schuhmacher G, Murra I, Wang L, Laxander A, O’Leary O, Herold M: ‘Multidisciplinary design optimizationof a regional aircraft wing box’, Proc. 9thAIAA/ISSMO Symp. on ‘Multidisciplinary analysis and optimization’, September 2002, Atlanta, GA, USA, American Institute of Aeronauticsand Astronautics, AIAA Paper, 2002, 5406–5416.
   Google Scholar
• Sypeck D: ‘Cellular truss core sandwich structures’, Appl.Compos. Mater., 2005, 12, 229–246.
   Web of Science ®Google Scholar
• Herrmann AS, Zahlen P, Zuardy I: ‘Sandwich structures technology in commercialaviation’, in ‘Sandwich structures 7:advancing with sandwich structures and materials’, Part 1, 13–26; 2005, Aalborg, Aalborg University.
   Google Scholar
• R.Vinson J: ‘Sandwich structures: past, present,and future’, in ‘Sandwich structures7: advancing with sandwich structures and materials’, Part 1, 3–12; 2005, Aalborg, Aalborg University.
   Google Scholar
• Banhart J, Seeliger H.-W: ‘Aluminium foam sandwich panels: manufacture,metallurgy, and applications’, Adv. Eng. Mater., 2008, 10, 793–802.
   Web of Science ®Google Scholar
• www.findarticles.com/p/articles/mi_m3012/is_n2_v178/ai_20301586/?tag = content;col1
   Google Scholar
• Cheon SS, Meguid SA: ‘Crush behaviour of metallic foams forpassenger car design’, Int. J. Automot. Technol., 2004, 5, 47–53.
   Web of Science ®Google Scholar
• Banhart J: ‘Aluminum foams: on the road to realapplications’, MRS Bull., 2003, 28, 290–295.
   Web of Science ®Google Scholar
• Neugebauer R, Lies C, Hohlfeld J, Hipke T: ‘Adhesion in sandwiches with aluminiumfoam core’, Prod. Eng. Res. Devel., 2001, 1, 271–278.
   Google Scholar
• Chung J, Waas AM: ‘Compressive response of honeycombsunder in-plane uniaxial static and dynami loading, part 1: experiments’, AIAAJ., 2002, 40, 966–973.
   Google Scholar
• Sypeck D, Wadley H: ‘Cellular metal truss core sandwichstructures’, Adv. Eng. Mater., 2002, 4, 759–764.
   Web of Science ®Google Scholar
• Lu G, Yu T: ‘Energy absorption of structures andmaterials’, 1st edn; 2003, Cambridge, WoodheadPublishing Limited.
   Google Scholar
• McCormack TM, Miller R, Kesler O, Gibson LJ: ‘Failure of sandwich beams with metallicfoam cores’, Int. J. Solids Struct., 2001, 38, 4901–4920.
   Web of Science ®Google Scholar
• Wicks N, Hutchinson JW: ‘Optimal truss plates’, Int.J. Solids Struct., 2001, 38, 5165.
   Web of Science ®Google Scholar
• Hyun S, Karlsson AM, Torquato S, Evans AG: ‘Simulated properties of Kagome andtetragonal truss core panels’, Int. J. SolidsStruct., 2003, 40, 6989–6998.
   Web of Science ®Google Scholar
• Deshpande VS, Fleck NA: ‘Collapse of truss core sandwich beamsin 3-point bending’, Int. J. Solids Struct., 2001, 38, 4093.
   Google Scholar
• Lim J.-H, Kang K.-J: ‘Mechanical behaviour of sandwich panelswith tetrahedral and Kagome truss cores fabricated from wires’, Int.J. Solids Struct., 2006, 43, 5228–5246.
   Web of Science ®Google Scholar
• Hutchinson RG, Fleck NA: ‘The structural performance of the periodictruss’, J. Mech. Phys. Solids, 2006, 54, 756–782.
   Web of Science ®Google Scholar
• Ryu KM, An JY, Cho W.-S, Yoo Y.-C, Kim HS: ‘Mechanical modeling of Al–MgAlloy open-cell foams’, Mater. Trans., 2005, 46, (3), 622–625.
   Web of Science ®Google Scholar
• Ramamurty U, Paul A: ‘Variability in mechanical propertiesof a metal foam’, Acta Mater., 2004, 52, 869–876.
   Web of Science ®Google Scholar
• Ashby MF: ‘The properties of foams and lattices’, Phil.Trans. R. Soc., 2006, 364, 15–30.
   Web of Science ®Google Scholar
• Zhu HX, Knott JF, Mills NJ: ‘Analysis of the elastic propertiesof open-cell foams with tetrakaidecahedral cells’, J.Mech. Phys. Solids, 1997, 45, (3), 319–343.
   Web of Science ®Google Scholar
• Andrews EW, Gioux G, Onck P, Gibson LJ: ‘Size effects in ductile cellular solids.Part II: experimental results’, Int. J. Mech.Sci., 2001, 43, 701–713.
   Web of Science ®Google Scholar
• Hallstrom S, Ribeiro-Ayeh S: ‘Stochastic finite element models offoam materials’, in ‘Sandwich structures7: advancing with sandwich structures and materials’, Part 9, 935–943; 2005, Aalborg, Aalborg University.
   Google Scholar
• Grenestedt JL, Tanaka K: ‘Influence of cell shape variationson elastic stiffness of closed cell cellular solids’, Int.J. Mech. Sci., 2000, 42, 1327–1338.
   Web of Science ®Google Scholar
• Youssef S, Maire E, Gaertner R: ‘Finite element modelling of the actualstructure of cellular materials determined by X-ray tomography’, ActaMater., 2005, 53, 719–730.
   Google Scholar
• Maire E, Fazekas A, Salvo L, Dendievel R, Youssef S, Cloetens P, M.Letang J: ‘X-ray tomography applied to the characterizationof cellular materials. Related finite element modeling problems’, Compos.Sci. Technol., 2003, 63, 2431–2443.
   Web of Science ®Google Scholar