[1]
Gibson LJ, Ashby MF. Cellular Solids: Structure and Properties. Cambridge University Press, (1997).
Google Scholar
[2]
Ashby MF, Evans T, Fleck N, et al. Metal Foams: A Design Guide. Elsevier Science, (2000).
Google Scholar
[3]
Brothers AH, Dunand DC. Mechanical properties of a density-graded replicated aluminum foam. Materials Science and Engineering A 489(1–2) (2008): 439–443.
DOI: 10.1016/j.msea.2007.11.076
Google Scholar
[4]
Hangai Y, Takahashi K, Yamaguchi R, Utsunomiya T, Kitahara S, Kuwazuru O, Yoshikawa N. Nondestructive observation of pore structure deformation behavior of functionally graded aluminum foam by X-ray computed tomography. Materials Science and Engineering A 556 (2012).
DOI: 10.1016/j.msea.2012.07.047
Google Scholar
[5]
Kiernan S, Cui L, Gilchrist MD. Propagation of a stress wave through a virtual functionally graded foam. International Journal of Non-Linear Mechanics 44(5) (2009): 456–468.
DOI: 10.1016/j.ijnonlinmec.2009.02.006
Google Scholar
[6]
Bruck HA. A one-dimensional model for designing functionally graded materials to manage stress waves. International Journal of Solids and Structures 37(44) (2000): 6383–6395.
DOI: 10.1016/s0020-7683(99)00236-x
Google Scholar
[7]
Cui L, Kiernan S, Gilchrist MD. Designing the energy absorption capacity of functionally graded foam materials. Materials Science and Engineering A 507(1–2) (2009): 215–225.
DOI: 10.1016/j.msea.2008.12.011
Google Scholar
[8]
Chen C, Lu TJ, Fleck NA. Effect of imperfections on the yielding of two-dimensional foams. Journal of the Mechanics and Physics of Solids 47(11) (1999): 2235–2272.
DOI: 10.1016/s0022-5096(99)00030-7
Google Scholar
[9]
Zheng ZJ, Yu JL, Li JR. Dynamic crushing of 2D cellular structures: A finite element study. International Journal of Impact Engineering 32(1–4) (2005): 650–664.
DOI: 10.1016/j.ijimpeng.2005.05.007
Google Scholar
[10]
Liu YD, Yu JL, Zheng ZJ, Li JR. A numerical study on the rate sensitivity of cellular metals. International Journal of Solids and Structures 46(22–23) (2009): 3988–3998.
DOI: 10.1016/j.ijsolstr.2009.07.024
Google Scholar
[11]
Ma GW, Ye ZQ, Shao ZS. Modeling loading rate effect on crushing stress of metallic cellular materials. International Journal of Impact Engineering 36(6) (2009): 775–782.
DOI: 10.1016/j.ijimpeng.2008.11.013
Google Scholar
[12]
Zhang JJ, Wang ZH, Zhao LM. Dynamic response of functionally graded cellular materials based on the Voronoi model. Composite part B 85 (2016): 176–187.
DOI: 10.1016/j.compositesb.2015.09.045
Google Scholar
[13]
Zheng ZJ, Wang CF, Yu JL, Reid SR, Harrigan JJ. Dynamic stress-strain states for metal foams using a 3D cellular model. Journal of the Mechanics and Physics of Solids 72 (2014): 93–114.
DOI: 10.1016/j.jmps.2014.07.013
Google Scholar
[14]
Wang XK, Zheng ZJ, Yu JL, Wang CF. Impact resistance and energy absorption of functionally graded cellular structures. Applied Mechanics and Materials 69 (2011): 73–78.
DOI: 10.4028/www.scientific.net/amm.69.73
Google Scholar
[15]
Wang XK, Zheng ZJ, Yu JL. Crashworthiness design of density-graded cellular metals. Theoretical and Applied Mechanics Letters 3(3) (2013): 031001(1–5).
DOI: 10.1063/2.1303101
Google Scholar