Cyclic behavior and energy approach of the fatigue of shape memory alloys

Ziad Moumni, Wael Zaki, Habibou Maitournam
Author affiliations

Authors

  • Ziad Moumni UME-MS, École Nationale Supérieure de Techniques Avancées, 91761 Palaiseau Cedex, France
  • Wael Zaki LMS, École Polytechnique, 91128 Palaiseau Cedex, France
  • Habibou Maitournam LMS, École Polytechnique, 91128 Palaiseau Cedex, France

DOI:

https://doi.org/10.15625/0866-7136/31/3-4/5648

Keywords:

cyclic loading, residual strain, internal stress, dissipation, fatigue.

Abstract

This paper presents an energy-based low-cycle fatigue criterion that can be used in analyzing and designing structures made from shape memory alloys (SMAs) subjected to cyclic loading. Experimentally, a response similar to plastic shakedown is observed: during the first cycles the stress-strain curve shows a hysteresis loop which evolves during the first few cycles before stabilizing. By adopting an analogy with plastic fatigue, it is shown that the dissipated energy of the stabilized cycle is a relevant parameter for estimating the number of cycles to failure of such materials. Following these observations, we provide an application of the cyclic model, previously developed by the authors within the framework of generalized standard materials with internal constraints [16], in order to evaluate such parameter. Numerical simulations are presented along with a validation against experimental data in case of cyclic superelasticity.

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Published

01-12-2009

Issue

Section

Research Article