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Static Shakedown Theorem for Solids with Temperature-Dependent Elastic Modulus

Limit States of Materials and Structures: Direct Methods

type de publication      ouvrage scientifique (ou chapitre)
nom du livre Limit States of Materials and Structures: Direct Methods
date de publication 2009
auteur(s) Oueslati Abdelbacet; De Saxce Géry
éditeur Springer
pages 157 – 177
ISBN / ISSN 9781402096334
résumé In this paper, an extension of the static shakedown theorem (Melan’s theorem) for elastic-plastic materials with temperature-dependent elastic modulus is presented. Cases of the decrease of yield function and the variation of coefficient of thermal expansion with temperature are included. The proposed extension leads to the introduction of a shakedown safety coefficient. To illustrate the statements of our theorem, step-by-step finite element procedure is applied to study a three-bar problem and a plate with the central hole subjected to thermo-mechanical cyclic loadings.
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