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Experimental verification of an inelastic plate theory based on plastic flow theory
Affiliation:1. Department of Civil and Structural Engineering, The University of Sheffield, Sheffield S1 3JD, UK;2. School of Civil Engineering, The University of Sydney, Sydney NSW 2006, Australia;1. Structural Engineering Department, Federal University of Juiz de Fora, Brazil;2. Institute of Modelling and Computation, Hamburg University of Technology, Germany;2. The State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, PR China;3. The State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, PR China;1. Department of Physics, University of Évora, Colégio Luís António Verney, Rua Romão Ramalho, 59, 7002-554 Évora, Portugal;2. Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstraße 15, 99423 Weimar, Germany;3. Mechanical Engineering Department, Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias, s/n, 4200-465 Porto, Portugal;4. ICIST, Instituto Superior Técnico, Lisboa, Portugal
Abstract:The paper aims to verify a recently proposed inelastic plate theory by Becque (2010) 1]. In a first part, the theory is revisited and some necessary corrections to the derivation are presented.A total of 486 data points pertaining to the local buckling of aluminium and stainless steel plates and plate assemblies were collected from literature in order to be compared to the predictions of the theory. For plates with straightforward boundary conditions (either simply supported edges or free edges), the theoretical buckling load was obtained by solving Becque's differential equation analytically or numerically. For plate assemblies with less obvious boundary conditions, including plain channels, lipped cannels, Z- and H-sections, the buckling load was obtained by employing an inelastic semi-analytical finite strip method based on Becque's differential equation. Including all data points, the average ratio of the predicted buckling load to the experimentally measured buckling load was 0.98 with a standard deviation of 0.069, thus confirming the proposed theory.
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