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Elasto-plastic response of uniformly loaded sector plates: full-section yield model predictions and spread of plasticity.

Research output: Contribution to Journal/MagazineJournal article

Published
<mark>Journal publication date</mark>11/2001
<mark>Journal</mark>Computers and Structures
Issue number26-28
Volume79
Number of pages14
Pages (from-to)2335-2348
Publication StatusPublished
<mark>Original language</mark>English

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.