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

Wadee, M.K., Coman, C.D. and Bassom, A.P. (2004) Numerical stability criteria for localized post-buckling solutions in a strut-on-foundation model. Journal of Applied Mechanics, Transactions of the ASME, 71(3), pp. 334-341. (doi: 10.1115/1.1757486)

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Publisher's URL: http://dx.doi.org/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 Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Coman, Dr Ciprian
Authors: Wadee, M.K., Coman, C.D., and Bassom, A.P.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Applied Mechanics, Transactions of the ASME
ISSN:0021-8936
ISSN (Online):1528-9036

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