Abstract
The safety factor for elastic shakedown of structures under variable loads is considered. Variational principles for shakedown analysis are reviewed in a unified presentation, suitable to finite element discretizations, and considering nonlinear yield functions. Extremum principles for bounds to shakedown loads are also presented. A tube under thermo-mechanical loading is used to show analytical solutions, and numerical results obtained with a mixed finite element formulation.
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Zouain, N., Silveira, J.L. (2000). Variational Principles for Shakedown Analysis. In: Weichert, D., Maier, G. (eds) Inelastic Analysis of Structures under Variable Loads. Solid Mechanics and Its Applications, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9421-4_10
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DOI: https://doi.org/10.1007/978-94-010-9421-4_10
Publisher Name: Springer, Dordrecht
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