Some stability results are established for localized buckling solutions of a strut-on-foundation model which has an initially unstable post-buckling path followed by a restabilizing property. These results are in stark contrast with those for models with non-restabilizing behavior for which all solutions are unstable under dead-loading conditions. By approximating solutions with a nonperiodic set of functions, the stability of these static solutions can be assessed by examining the nature of the equilibrium using total potential energy considerations.
Numerical Stability Criteria for Localized Post-buckling Solutions in a Strut-on-Foundation Model
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, September 25, 2002; final revision, September 22, 2003. Associate Editor: R. C. Benson. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Wadee, M. K., Coman, C. D., and Bassom, A. P. (June 22, 2004). "Numerical Stability Criteria for Localized Post-buckling Solutions in a Strut-on-Foundation Model ." ASME. J. Appl. Mech. May 2004; 71(3): 334–341. https://doi.org/10.1115/1.1757486
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