Abstract

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.

Keywords

cyclic pseudoelasticity, shape memory alloys, SMA fatigue, cyclic loading, residual strain, internal stress, dissipation

Milestones

Received: 14 December 2007
Revised: 14 April 2008
Accepted: 6 April 2008
Published: 12 April 2009

Authors