On shakedown of shape memory alloys with permanent inelasticity

Michaël Peigney (1)

1 navier umr 8205 - Laboratoire Navier

Shape memory alloys (SMAs) offer interesting perspectives in various fields such as aeronautics, robotics, biomedical sciences, or structural engineering. The distinctive properties of those materials stem from a solid/solid phase transformation occuring at a microscopic level. Modeling the rather complex behavior of SMAs is a topic of active research. Lately, SMA models coupling phase-transformation with permanent inelasticity have been proposed to capture degradation effects which are frequently observed experimentally for cyclic loadings. In this paper, the classical static and kinematic shakedown of plasticity theory are extended to such material models. Those results gives conditions for the energy dissipation to remain bounded, and might be relevant for the fatigue design of SMA systems.

Mots clés: Shakedown; Fatigue; Shape Memory Alloys; Training; Permanent Inelasticity; Non Smooth Mechanics

Domaines: Mécanique [physics.med-ph]

Michaël Peigney. On shakedown of shape memory alloys with permanent inelasticity. 11th World Conference on Computational Mechanics, 5th European Conference on Computational Mechanics, 6th European Conference on Computational Fluid Dynamics (WCCM XI - ECCM V - ECFD VI), Jul 2014, Barcelone, Spain. pp.1863-1871. ⟨hal-01053637⟩