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Direct Numerical Determination of the Asymptotic Cyclic Behavior of Pseudoelastic Shape Memory Structures |
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| Authors: | Claire Morin Ziad Moumni Wael Zaki |
| Affiliation: | 1Ph.D. Student, Materials and Structures Laboratory, ENSTA-Paristech, Chemin de la Hunière et des Joncherettes, F-91761 Palaiseau Cedex, France 2Professor, Materials and Structures Laboratory, ENSTA-Paristech, Chemin de la Hunière et des Joncherettes, F-91761 Palaiseau Cedex, France (corresponding author). E-mail: moumni@ensta.fr 3Assistant Professor of Mechanical Engineering, Khalifa Univ. of Science Technology and Research, P.O. Box 127788, Abu Dhabi, United Arab Emirates |
| Abstract: | The design of shape memory alloys (SMAs) structures against fatigue requires the computation of the stabilized mechanical state. The classical computation method, based on a plasticity-like algorithm, requires a step-by-step calculation, leading to prohibitive computation time to reach this stabilized state. To overcome this issue, we propose to extend the direct cyclic method (DCM), for elastoplastic structures, for use with the Zaki-Moumni (ZM) model for SMAs. DCM is a large time increment method in which a periodicity condition is enforced on the state variables. Comparison with the classical incremental approach shows considerable reduction in computation time. |
| Keywords: | Smart materials Numerical analysis Intelligent structures Cyclic strength |