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Conference Papers Year : 2020

A Melan theorem in diffusion-induced plasticity: Applications to lithium-ion batteries

Michaël Peigney

Abstract

We present a Melan-type theorem applying to cyclically loaded media in which plastic flow and diffusion of guest atoms are coupled, such as electrode materials in lithium-ion batteries. The presented theorem ensures that elastic shakedown occurs ( i.e. that the plastic strain stabilizes to a time-independent limit), independently of the initial state. Building on that theorem, a general two-step procedure is presented for designing any given structure against elastic shakedown. As an illustration, that procedure is applied to the model problem of a spherical electrode particle under time-harmonic lithiation.
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Dates and versions

hal-02985289 , version 1 (02-11-2020)

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Michaël Peigney. A Melan theorem in diffusion-induced plasticity: Applications to lithium-ion batteries. 4th Polish Congress of Mechanics and the 23rd International Conference on Computer Methods in Mechanics, 2019, Cracovie, Poland. pp.020041, ⟨10.1063/5.0007995⟩. ⟨hal-02985289⟩
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