TECHNICAL PAPERS
Jan 17, 2011

Direct Numerical Determination of the Asymptotic Cyclic Behavior of Pseudoelastic Shape Memory Structures

Publication: Journal of Engineering Mechanics
Volume 137, Issue 7

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.

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References

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 137Issue 7July 2011
Pages: 497 - 503

History

Received: Apr 8, 2010
Accepted: Jan 14, 2011
Published online: Jan 17, 2011
Published in print: Jul 1, 2011

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Authors

Affiliations

Claire Morin
Ph.D. Student, Materials and Structures Laboratory, ENSTA-Paristech, Chemin de la Hunière et des Joncherettes, F-91761 Palaiseau Cedex, France
Ziad Moumni [email protected]
Professor, Materials and Structures Laboratory, ENSTA-Paristech, Chemin de la Hunière et des Joncherettes, F-91761 Palaiseau Cedex, France (corresponding author). E-mail: [email protected]
Wael Zaki
Assistant Professor of Mechanical Engineering, Khalifa Univ. of Science Technology and Research, P.O. Box 127788, Abu Dhabi, United Arab Emirates

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