Cheng Yaoshun, Fang Hong, Lu Wenda. Imperfection Sensitivity Analysis of a Rectangular Column Compressed into the Plastic Range[J]. Applied Mathematics and Mechanics, 1998, 19(1): 8-14.
Citation:
Cheng Yaoshun, Fang Hong, Lu Wenda. Imperfection Sensitivity Analysis of a Rectangular Column Compressed into the Plastic Range[J]. Applied Mathematics and Mechanics, 1998, 19(1): 8-14.
Cheng Yaoshun, Fang Hong, Lu Wenda. Imperfection Sensitivity Analysis of a Rectangular Column Compressed into the Plastic Range[J]. Applied Mathematics and Mechanics, 1998, 19(1): 8-14.
Citation:
Cheng Yaoshun, Fang Hong, Lu Wenda. Imperfection Sensitivity Analysis of a Rectangular Column Compressed into the Plastic Range[J]. Applied Mathematics and Mechanics, 1998, 19(1): 8-14.
The effect of small geometrical imperfections on the buckling of a rectangular column compressed into the plastic range is studied. In the analysis, the effect of ealstic unloading is taken into account. An asymptotically exact relation is abtained among the load, the amplitude of imperfections and the amplitude of bifurcation mode. The results show that the maximum supported load is very sensitive to small imperfections, and that, however, there may not be maximum load if the imperfection amplitude is greater than some magnitude.
Y.S.Cheng,W.D.Lu and H.Fang,Plastic post-buckling of a simply supported column with a solid rectangular cross-section,Appl.Math.Mech.,16(1995),713-722.
[4]
A.Needleman and V.Tvergaard,Aspects of plastic postbuckling behavior,Mecha nics of Solids,Oxford:Pergamon Press(1982),453-498.
[5]
X.M.Su and W.D.L u,Postbuckling and imperfection sensitivity analysis of structres in the plastic range:part 2,Thin-Walled Struct.,11(1991),203-217.
[6]
B.Budiansky,Theory of buckling and post-buckling behavior of elastic structures,Adv.Appl.Mech.,14(1974),1-65.
[7]
Y.S.Cheng and W.D.L u,Uniqueness and bifurcation in elastic-plastic solids,Int.J.Solids Structures,30(1993),3073-3084.