Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Kinematical approach to the shakedown analysis of some structures

Authors: D. C. Pham and H. Stumpf
Journal: Quart. Appl. Math. 52 (1994), 707-719
MSC: Primary 73E50; Secondary 73E20, 73K99, 73V25
DOI: https://doi.org/10.1090/qam/1306045
MathSciNet review: MR1306045
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Abstract | References | Similar Articles | Additional Information

Abstract: From Koiter's kinematical shakedown theorem, a new variational problem is deduced, which does not contain integrals over a time parameter and gives an upper bound on the safety factor. For a broad class of practical problems, including planar bar systems subjected to combined axial and bending loads, it leads to the exact value of the shakedown factor. The possible inadaptation modes (incremental, alternating, or mixed) on the shakedown boundary are determined.

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Additional Information

DOI: https://doi.org/10.1090/qam/1306045
Article copyright: © Copyright 1994 American Mathematical Society

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