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Comparative Study of Experimental and Simulated Buckled Shapes of Alternately‐Loaded Plates
Author(s) -
Todres Russell,
Stoffel Marcus,
Weichert Dieter
Publication year - 2012
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201210090
Subject(s) - radius , limit (mathematics) , displacement (psychology) , deformation (meteorology) , mechanics , physics , geometry , materials science , mathematics , composite material , mathematical analysis , psychology , computer security , computer science , psychotherapist
A circular plate is inelastically deformed by uniform pressure, unloaded and then alternately reloaded to the same peak level. For each iteration, snap‐through occurs at an increased pressure relative to the previous one, leading to additional plastic deformation. By repeating this process, the plate either fails or a limit state of deformation is reached under peak pressure without snap‐through. For the case of a limit state, the results of [1] are extended to numerically determine the pressure above the peak level causing the plate to snap‐through again. This is compared to the snap‐through pressure of an initially unloaded spherical cap whose radius corresponds to the maximum displacement achieved in the limit case. (© 2012 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)