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Numerical stability criteria for localized post-buckling solutions in a strut-on-foundation model

Citation

Wadee, MK and Coman, CD and Bassom, AP, Numerical stability criteria for localized post-buckling solutions in a strut-on-foundation model, Journal of Applied Mechanics, 71, (3) pp. 334-341. ISSN 0021-8936 (2004) [Refereed Article]

Copyright Statement

Copyright 2004 ASME

DOI: doi:10.1115/1.1757486

Abstract

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.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:107399
Year Published:2004
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2016-03-11
Last Modified:2016-07-08
Downloads:0

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