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

journal contribution
posted on 2023-05-18, 17:51 authored by Wadee, MK, Coman, CD, Andrew BassomAndrew Bassom
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.

History

Publication title

Journal of Applied Mechanics

Volume

71

Pagination

334-341

ISSN

0021-8936

Department/School

School of Natural Sciences

Publisher

Asme-Amer Soc Mechanical Eng

Place of publication

Three Park Ave, New York, USA, Ny, 10016-5990

Rights statement

Copyright 2004 ASME

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the mathematical sciences

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