Static and kinematic shakedown theorems in diffusion-induced plasticity

Michaël Peigney (1)

1 NAVIER UMR 8205 - Laboratoire Navier

We present shakedown theorems applying to cyclically loaded media in which plastic flow and diffusion of guest atoms are coupled. The presented theorems are in the spirit of Melan and Koiter theorems in plasticity. They allow one to estimate the loading parameters for which elastic shakedown occurs, i.e. for which the plastic strain stabilizes to a time-independent limit. An application related to lithium-ion batteries is presented.

Mots clés: plasticity; shakedown; diffusion-induced stress; lithium-ion batteries

Domaines: Mécanique des solides [physics.class-ph]

Michaël Peigney. Static and kinematic shakedown theorems in diffusion-induced plasticity. Journal of Theoretical and Applied Mechanics, 2020, 58 (2), pp.415-424. ⟨10.15632/jtam-pl/118453⟩. ⟨hal-02985393⟩