A mixed finite-element formulation for the elasto-plastic analysis of shell structures

A mixed finite-element formulation for the elasto-plastic analysis of shell structures

Francesco S. LIGUORI, Antonio MADEO, Giovanni GARCEA

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Abstract. Mixed assumed stress finite elements for elastic-perfectly plastic materials require the solution of a Closest Point Projection (CPP) involving all the element stress parameters for the integration of the constitutive equation. Here, a dual decomposition strategy is adopted to split the CPP at the element level into a series of CPPs at the integration points level and in a nonlinear system of equations over the element. The strategy is tested with a four nodes mixed shell finite element, named MISS-4, characterised by an equilibrated stress interpolation and a displacement field assumed only along its boundaries. The recovered elasto-plastic solution preserves all the advantages of MISS-4, namely it is accurate for coarse meshes in recovering the equilibrium path and evaluating the limit load showing a quadratic rate of convergence.

Keywords
Mixed Finite Element, Elasto-Plastic Analysis, Equilibrated Assumed Stresses, Dual Decomposition Strategy

Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: Francesco S. LIGUORI, Antonio MADEO, Giovanni GARCEA, A mixed finite-element formulation for the elasto-plastic analysis of shell structures, Materials Research Proceedings, Vol. 26, pp 227-232, 2023

DOI: https://doi.org/10.21741/9781644902431-37

The article was published as article 37 of the book Theoretical and Applied Mechanics

Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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