TY - JOUR
T1 - Numerical analysis of diamond buckles
AU - Liu, Wing Kam
AU - Lam, Dennis
N1 - Funding Information:
We wish to thank Mr. Edward Law in the Department of Mechanical Engineering at Northwestern University for his valuable help in the analysis. The support of the National Science Foundation to this research is gratefully acknowledged.
PY - 1989/2
Y1 - 1989/2
N2 - The "diamond" modes of collapse are studied with finite element methods. Both linear and nonlinear analyses are performed on the buckling of a cylindrical shell under axial compression. Among the postbuckling shapes of the cylindrical shell, a number of diamond modes (cost nθ; n = 0, 14, 18, 10, 24 and 28) are found to be possible. The analysis is compared to those conducted by Maewal and Nachbar, Crisfield, and Yoshida et al. Agreement is established in conceiving the deformed shape with circumferential number of 14 as the stable postbuckling mode of the cylindrical shell. The transition from the axisymmetric mode to a diamond mode of collapse is shown to be an instantaneous process triggered in the proximity of the critical state by a small perturbation of the load increment.
AB - The "diamond" modes of collapse are studied with finite element methods. Both linear and nonlinear analyses are performed on the buckling of a cylindrical shell under axial compression. Among the postbuckling shapes of the cylindrical shell, a number of diamond modes (cost nθ; n = 0, 14, 18, 10, 24 and 28) are found to be possible. The analysis is compared to those conducted by Maewal and Nachbar, Crisfield, and Yoshida et al. Agreement is established in conceiving the deformed shape with circumferential number of 14 as the stable postbuckling mode of the cylindrical shell. The transition from the axisymmetric mode to a diamond mode of collapse is shown to be an instantaneous process triggered in the proximity of the critical state by a small perturbation of the load increment.
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U2 - 10.1016/0168-874X(89)90024-3
DO - 10.1016/0168-874X(89)90024-3
M3 - Article
AN - SCOPUS:0024607936
VL - 4
SP - 291
EP - 302
JO - Finite Elements in Analysis and Design
JF - Finite Elements in Analysis and Design
SN - 0168-874X
IS - 4
ER -