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Chapitre d'ouvrage

On cyclic steady states and elastic shakedown in diffusion-induced plasticity

Abstract : This chapter is devoted to media in which plasticity and diffusion are coupled, such as electrode materials in lithium ion batteries. We present some recent results on the large time behavior of such media when they are submitted to cyclic chemo-mechanical loadings. Under suitable technical assumptions, we notably show that there is convergence towards a cyclic steady state in which the stress, the plastic strain rate, the chemical potential and the concentration of guest atoms are all periodic in time (with the same period as the applied loading). A special case of interest is that of elastic shakedown, which corresponds to the situation where the medium behaves elastically in the large time limit. We present general theorem that allow one to construct both lower and upper bounds of the set of loadings for which elastic shakedown occurs, in the spirit of Melan and Koiter theorems in classical plasticity. An illustrative example-for which all the relevant calculations can be done in closed-form-is presented.
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Chapitre d'ouvrage
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Contributeur : Michael Peigney Connectez-vous pour contacter le contributeur
Soumis le : jeudi 3 décembre 2020 - 12:05:10
Dernière modification le : vendredi 30 septembre 2022 - 04:09:17
Archivage à long terme le : : jeudi 4 mars 2021 - 19:00:21


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Michaël Peigney. On cyclic steady states and elastic shakedown in diffusion-induced plasticity. Pisano A., Spiliopoulos K., Weichert D. Direct Methods. Methodological Progress and Engineering Applications, Springer, pp.167-185, 2021, Lecture Notes in Applied and Computational Mechanics, ⟨10.1007/978-3-030-48834-5_9⟩. ⟨hal-03038071⟩



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