Residual internal stresses often remain in materials after thermal-mechanical processes. Considerable deformation, such as elastic buckling, may result from such stresses. Some cases of circular-plate buckling due to internal membrane forces are analyzed in this work. The internal membrane-force field is introduced with a nonuniform radial temperature distribution in the disk. Detailed analysis is performed and critical buckling criteria are tabulated for some specific sets of parameters. Although the membrane force in the plate is axially symmetric, symmetry breaking is found at buckling. When the temperature is higher at the disk center, the first buckling mode is domeshaped, which maintains the polar symmetry. The mode of buckling, however, changes to a saddle shape when the radial temperature distribution is reversed.
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September 1995
Brief Notes
Elastic Buckling of a Circular Disk due to Internal Membrane Forces
W.-Y. Shih,
W.-Y. Shih
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853
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L. Kudryavtsev,
L. Kudryavtsev
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853
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K. K. Wang
K. K. Wang
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853
Search for other works by this author on:
W.-Y. Shih
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853
L. Kudryavtsev
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853
K. K. Wang
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY 14853
J. Appl. Mech. Sep 1995, 62(3): 813-816 (4 pages)
Published Online: September 1, 1995
Article history
Received:
June 27, 1994
Revised:
December 13, 1994
Online:
October 30, 2007
Citation
Shih, W., Kudryavtsev, L., and Wang, K. K. (September 1, 1995). "Elastic Buckling of a Circular Disk due to Internal Membrane Forces." ASME. J. Appl. Mech. September 1995; 62(3): 813–816. https://doi.org/10.1115/1.2777115
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