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A continuum-based mixed axisymmetric shell element for limit and shakedown analysis

Ricardo R. Martins, Nestor Zouain, Lavinia Borges, Eduardo de Souza Neto De Souza Neto Orcid Logo

Journal of the Brazilian Society of Mechanical Sciences and Engineering, Volume: 36, Issue: 1, Pages: 153 - 172

Swansea University Author: Eduardo de Souza Neto De Souza Neto Orcid Logo

Abstract

In this paper, a new axisymmetric shell element is devised to limit and shakedown analysis. The element is based on a Hellinger–Reissner-type variational formulation with velocity and stress fields independently interpolated. We also employ the continuum-based approach which allows the definition of...

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Published in: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa22541
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Abstract: In this paper, a new axisymmetric shell element is devised to limit and shakedown analysis. The element is based on a Hellinger–Reissner-type variational formulation with velocity and stress fields independently interpolated. We also employ the continuum-based approach which allows the definition of the shakedown problem at the continuum level without any approximation in terms of generalized stresses. The mixed interpolation scheme showed very good accuracy for the set of representative examples discussed in detail. The numerical tests include: (1) the limit analysis of cylindrical shells under ring loads and (2) the shakedown analysis of pressure vessels with ellipsoidal and torispherical heads subjected to internal pressure.
College: College of Engineering
Issue: 1
Start Page: 153
End Page: 172