Vol. 4, No. 2, 2009

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ISSN: 1559-3959
Cyclic behavior and energy approach to the fatigue of shape memory alloys

Ziad Moumni, Wael Zaki and Habibou Maitournam

Vol. 4 (2009), No. 2, 395–411

We present an energy-based low-cycle fatigue criterion that can be used in analyzing and designing structures made from shape memory alloys 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 in order to evaluate such parameter. Numerical simulations are presented along with a validation against experimental data in case of cyclic superelasticity.

cyclic pseudoelasticity, shape memory alloys, SMA fatigue, cyclic loading, residual strain, internal stress, dissipation
Received: 14 December 2007
Revised: 14 April 2008
Accepted: 6 April 2008
Published: 12 April 2009
Ziad Moumni
École Nationale Supérieure de Techniques Avancées
91761 Palaiseau Cedex
Wael Zaki
Laboratory for Industrial Technology
Henri Tudor Public Research Center
66 rue de Luxembourg
L-4221 Esch-sur-Alzette
Habibou Maitournam
Laboratoire de Mécanique des Solides
UMR 7649
École Polytechnique
91128 Palaiseau Cedex