Characterization of Sheet Buckling Subjected to Controlled Boundary Constraints

[+] Author and Article Information
Jian Cao, Xi Wang, Francis Joe Mills

Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208

J. Manuf. Sci. Eng 124(3), 493-501 (Jul 11, 2002) (9 pages) doi:10.1115/1.1475990 History: Received June 01, 2001; Revised December 01, 2001; Online July 11, 2002
Copyright © 2002 by ASME
Your Session has timed out. Please sign back in to continue.


Tomita,  Y., 1994, “Simulations of Plastic Instabilities in Solid Mechanics,” Appl. Mech. Rev., 47(6), Part 1, pp. 171–205.
Petryk,  H., 1997, “Plastic Instability: Criteria and Computational Approaches,” Archives of Computational Methods in Engineering, 4(2), pp. 111–151.
Tvergaard,  V., 1999, “Studies of Elastic-Plastic Instabilities,” ASME J. Appl. Mech., 66, pp. 3–9.
Hill,  R., 1958, “A General Theory of Uniqueness and Stability in Elastic-Plastic Solids,” J. Mech. Phys. Solids, 8, pp. 236–249.
Yoshida, K., Hayashi, J., Niyauchi, K., Hirata, M., Hira, T., and Ujihara, S., 1981, “Assessment of Fitting Behavior and Shape Fixation by Yoshida Buckling Test—A Way to Overall Formability,” International Symposium on New Aspects of Sheet Metal Forming, ISIJ, Tokyo, Japan, pp. 125–148.
Tomita,  Y., and Shindo,  A., 1988, “Onset and Growth of Wrinkles in Thin Square Plates Subjected to Diagonal Tension,” Int. J. Mech. Sci., 30, pp. 921–931.
Li,  M., Brazill,  R. L., and Chu,  E. W., 2000, “Initiation and Growth of Wrinkling due to Nonuniform Tension in Sheet Metal Forming,” Exp. Mech., 40(2), pp. 180–189.
Szacinski,  A. M., and Thomson,  P. F., 1992, “Critical Conditions for Wrinkling During the Forming of Anisotropic Sheet Metal,” J. Mat. Process. Technol. 35, pp. 213–226.
Szacinski,  A. M., and Thomson,  P. F., 1991, “Investigation of the Existence of a Wrinkling-Limit Curve in Plastically Deforming Metal Sheet,” J. Mat. Process. Technol. 25, pp. 125–137.
Inoue,  T., 1994, “Analysis of Plastic Buckling of Rectangular Steel Plates Supported Along Their Four Edges,” Int. J. Solids Struct., 31(2), pp. 219–230.
Sobis,  T., Engel,  U., and Geiger,  M., 1992, “An Experimental Analysis of the Onset of Buckling in Sheet Metal Forming,” J. Mat. Process. Technol. 7(3), pp. 273–281.
Szacinski, A. M., and Thomson, P. F., 1984, “The Effect of Mechanical Properties on the Wrinkling Behavior in the Yoshida Test and in a Cone Forming Test,” Proc. of 13th Congr. IDDRG, Melbourne, Australia, pp. 532–537.
Senior,  B. W., 1956, “Flange Wrinkling in Deep-Drawing Operations,” J. Mech. Phys. Solids, 4, pp. 235–246.
Stickles,  C. A., and Mould,  P. R., 1970, “The Use of Young’s Modulus for Predicting the Plastic-Strain Ratio of Flow-Carbon Steel Sheets,” Metall. Trans., 1, pp. 1303–1312.
Yu,  T. X., and Johnson,  W., 1982, “The Buckling of Annular Plates in Relation to the Deep-Drawing Process,” Int. J. Mech. Sci., 24, pp. 175–188.
Donoghue,  M., Stevenson,  R., Kwon,  Y. J., and Triantafyllidis,  N., 1989, “An Experimental Verification of the Hemispherical Cup Puckering Problem,” ASME J. Eng. Mater. Technol., 111, pp. 248–254.
Jalkh,  P., Cao,  J., Hardt,  D., and Boyce,  M. C., 1993, “Optimal Forming of Al 2008-T4 Conical Cups Using Force Trajectory Control,” J. Materials & Manufacturing, 102, pp. 416–427.
Bakkestuen, R. S., 1994, “Closed-Loop Control of Forming Stability During Aluminum Stamping,” M.S. thesis, M.I.T., Massachusetts.
Wang,  X., and Cao,  J., 2000, “On the Prediction of Sidewall Wrinkling in Sheet Metal Forming Processes,” Int. J. Mech. Sci., 42(12), pp. 2369–2394.
Wang,  X., and Cao,  J., 2000, “An Analytical Model for Flange Wrinkling in Sheet Metal Forming,” Journal of Manufacturing Processes, 2(2), pp. 100–107.
Wang,  X., Cao,  J., and Li,  M., 2001, “Wrinkling Analysis in Shrink Flanging,” ASME J. Manuf. Sci. Eng., 123, pp. 426–432.
Wang,  X., and Cao,  J., 2001, “Wrinkling Limit in Tube Bending,” ASME J. Eng. Mater. Technol., 123, pp. 430–435.


Grahic Jump Location
Experiment fixture of a novel wedge strip test
Grahic Jump Location
Dimensions of the specimens used with various boundary conditions: (a) B1 and B2; (b) B3
Grahic Jump Location
Experimental setup to measure the buckle height
Grahic Jump Location
Deformed specimen in case C1
Grahic Jump Location
Deformed specimen in case C2
Grahic Jump Location
Deformed specimen in case C3
Grahic Jump Location
Two deformed specimens (a) and (b) in case C4
Grahic Jump Location
Buckle heights as functions of nominal longitudinal stress for all cases
Grahic Jump Location
Thin plate under in-plane biaxial loading
Grahic Jump Location
Contour of the lowest principal stress in case C2 and the definition of effective compressive dimensions  
Grahic Jump Location
Buckle height versus longitudinal strain for the specimen in case C1
Grahic Jump Location
Buckle height versus longitudinal strain for the specimen in case C2
Grahic Jump Location
Buckle height versus longitudinal strain for the specimen in case C3
Grahic Jump Location
Buckle height versus longitudinal strain for the specimen in case C4
Grahic Jump Location
Comparison between experimental and simulation results. Here the simulation results were obtained from a FEM analysis using the explicit integration method with a pulling speed of 1 m/sec.
Grahic Jump Location
Sensitivity of predicted wrinkling strain in Case C3 with respect to the selection of the dimensions of the effective region




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In