Elasto-plastic response of uniformly loaded sector plates: full-section yield model predictions and spread of plasticity |
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| Affiliation: | 1. Department of Engineering, Faculty of Applied Sciences, Lancaster University, Bailrigg, Lancaster, LA1 4YR, UK;2. Department of Mechanical Engineering, Amirkabir University of Technology, Hafez Avenue, Tehran, Iran;1. Universitas Indonesia, Civil Engineering Department, Depok 16424, Indonesia;2. Université de Technologie de Compiègne, Sorbonne Universities, CNRS FRE 2012 Roberval, 60203 Compiègne, France |
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| Abstract: | The governing equations for an elasto-plastic large deflection analysis of pressure loaded sector plates, based on the Ilyushin full-section yield criterion and the flow theory of plasticity, are presented. An outline of the solution of these equations using a finite difference implementation of the dynamic relaxation algorithm is given. Numerical results are presented for uniformly loaded slender and stocky sector plates with a 60° sector angle. In particular, first yield data are presented as well as the results of two parameter studies. The first study shows the effects of flexural and in-plane edge conditions on the deflections and stress resultants/couples at the centre of the sector plate and the second contrasts the spread of plasticity in slender sector plates with simply supported and clamped in-plane fixed edges. |
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