In this article, a theoretical relation is derived to predict the folding wavelength in the square and rectangular columns under the axial loading. For this purpose, a new deformation model of the columns during the folding progress is introduced. Based on the energy method, final equation is obtained. The derived relation shows the folding wavelength is dependant on the wall thickness and the edge length of the columns cross section and is independent of the column material. Some static folding tests are performed on the square and rectangular columns. Finally, the predictions of the theoretical formula are compared with the experimental results for which good agreement is observed.
WangBWuLJinX. Experimental investigation of 3D sandwich structure with core reinforced by composite columns. Mater Design2010; 31: 158–165.
2.
LiuYDYuJLZhengZJ. A numerical study on the rate sensitivity of cellular metals. Int J Solid Struct2009; 46: 3988–3998.
3.
ZhangZLiuSTangZ. Crashworthiness investigation of kagome honeycomb sandwich cylindrical column under axial crushing loads. Thin-Walled Struct2010; 48: 9–18.
4.
ZouZReidSRTanPJ. Dynamic crushing of honeycombs and features of shock fronts. Int J Impact Eng2009; 36: 165–176.
5.
HongSTPanJTyanT. Dynamic crush behaviors of aluminum honeycomb specimens under compression dominant inclined loads. Int J Plast2008; 24: 89–117.
6.
NiknejadALiaghatGHMoslemi NaeiniH. Theoretical and experimental studies of the instantaneous folding force of the polyurethane foam-filled square honeycombs. Mater Design2011; 32: 69–75.
7.
AbramowiczWWierzbickiT. Axial crushing of multicorner sheet metal columns. J Appl Mech1989; 56: 113–120.
8.
SantosaSPWierzbickiTHanssenAG. Experimental and numerical studies of foam-filled sections. Int J Impact Eng2000; 24(5): 509–534.
9.
WierzbickiTAbramowiczW. On the crushing mechanics of thin-walled structures. J Appl Mech1983; 50: 727–734.
10.
HanssenAGLangsethMHopperstadOS. Static and dynamic crushing of circular aluminium extrusions with aluminium foam filler. Int J Impact Eng2000; 24: 475–507.
11.
NiknejadALiaghatGHMoslemi NaeiniH. Experimental and theoretical investigation of the first fold creation in thin walled columns. Acta Mech Solida Sin2010; 23(4): 353–360.
12.
NiknejadALiaghatGHMoslemi NaeiniH. Theoretical formula to predict the instantaneous folding force of the first fold in a single cell hexagonal honeycomb under axial loading. Proc IMechE, Part C: J Mechanical Engineering Science2010; 224(11): 2308–2315.
13.
NiknejadALiaghatGHMoslemi NaeiniH. Investigation of the folding angle variations during the folding progress in the columns. Trends Appl Sci Res2010; 5(1): 56–63.
14.
EramiKOhnoNOkumuraD. Long-wave in-plane buckling of elastoplastic square honeycombs. Int J Plast2006; 22: 1569–1585.
15.
KhanMK. Compressive and lamination strength of honeycomb sandwich panels with strain energy calculation from ASTM standards. Proc IMechE, Part G: J. Aerospace Engineering2006; 220(5): 375–386.
16.
ZhangXChengGZhangH. Theoretical prediction and numerical simulation of multi-cell square thin-walled structures. Thin-Walled Struct2006; 44: 1185–1191.
17.
LeeKSYangYJHwangWC. Crushing behavior of lightmass structural member. T Nonferr Metal Soc2009; 19: 276–279.
18.
DiPaoloBPMonteiroPJMGronskyR. Quasi-static axial crush response of a thin-wall stainless steel box component. Int J Solid Struct2004; 41: 3707–3733.
