Abstract
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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Oueslati, A., Saxcè, G.d. (2009). Static Shakedown Theorem for Solids with Temperature-Dependent Elastic Modulus. In: Dieter, W., Alan, P. (eds) Limit States of Materials and Structures. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9634-1_8
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DOI: https://doi.org/10.1007/978-1-4020-9634-1_8
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