This paper presents and compares two different uniaxial constitutive models for superelastic shape-memory alloys (SMAs), suitable to study the dependence of the stress-strain relationship on the loading-unloading rate. The first model is based on the inclusion of a direct viscous term in the evolutionary equation for the martensite fraction and it shows how the material response is bounded between two distinct rate-independent models. The second model is based on a rate-independent evolutionary equation for the martensite fraction coupled with a thermal balance equation. Hence, it considers mechanical dissipation as well as latent heat and includes the temperature as a primary independent variable, which is responsible of the dynamic effects. The ability of both models to reproduce the observed reduction of damping properties through the modification of the hysteresis size is discussed by means of several numerical simulations. Finally, the capacity of the constitutive equations to simulate experimental data from uniaxial tests performed on SMA wires and bars of different size and chemical composition is shown.
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e-mail: auricchio@unipv.it
e-mail: davide.fugazza@samcef.com
e-mail: reginald.desroches@ce.gatech.edu
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July 2006
Special Section On Damping Of Shape Memory Alloys, Composites, And Foams
Numerical and Experimental Evaluation of the Damping Properties of Shape-Memory Alloys
Ferdinando Auricchio,
Ferdinando Auricchio
Dipartimento di Meccanica Strutturale, Istituto di Matematica Applicata e Tecnologie Informatiche, and European School for Advanced Studies in Reduction of Seismic Risk (ROSE School),
e-mail: auricchio@unipv.it
Università degli Studi di Pavia
, Via Ferrata 1, 27100 Pavia, Italy
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Davide Fugazza,
Davide Fugazza
Dipartimento di Meccanica Strutturale, and European School for Advanced Studies in Reduction of Seismic Risk (ROSE School),
e-mail: davide.fugazza@samcef.com
Università degli Studi di Pavia
, Via Ferrata 1, 27100 Pavia, Italy
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Reginald DesRoches
Reginald DesRoches
School of Civil and Environmental Engineering,
e-mail: reginald.desroches@ce.gatech.edu
Georgia Institute of Technology
, 790 Atlantic Drive, Atlanta, GA 30332-0355
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Ferdinando Auricchio
Dipartimento di Meccanica Strutturale, Istituto di Matematica Applicata e Tecnologie Informatiche, and European School for Advanced Studies in Reduction of Seismic Risk (ROSE School),
Università degli Studi di Pavia
, Via Ferrata 1, 27100 Pavia, Italye-mail: auricchio@unipv.it
Davide Fugazza
Dipartimento di Meccanica Strutturale, and European School for Advanced Studies in Reduction of Seismic Risk (ROSE School),
Università degli Studi di Pavia
, Via Ferrata 1, 27100 Pavia, Italye-mail: davide.fugazza@samcef.com
Reginald DesRoches
School of Civil and Environmental Engineering,
Georgia Institute of Technology
, 790 Atlantic Drive, Atlanta, GA 30332-0355e-mail: reginald.desroches@ce.gatech.edu
J. Eng. Mater. Technol. Jul 2006, 128(3): 312-319 (8 pages)
Published Online: March 29, 2006
Article history
Received:
September 13, 2005
Revised:
March 29, 2006
Citation
Auricchio, F., Fugazza, D., and DesRoches, R. (March 29, 2006). "Numerical and Experimental Evaluation of the Damping Properties of Shape-Memory Alloys." ASME. J. Eng. Mater. Technol. July 2006; 128(3): 312–319. https://doi.org/10.1115/1.2204948
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