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SPECIAL SECTION ON DAMPING OF SHAPE MEMORY ALLOYS, COMPOSITES, AND FOAMS

Numerical and Experimental Evaluation of the Damping Properties of Shape-Memory Alloys

[+] Author and Article Information
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, Italyauricchio@unipv.it

Davide Fugazza1

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, Italydavide.fugazza@samcef.com

Reginald DesRoches

School of Civil and Environmental Engineering, Georgia Institute of Technology, 790 Atlantic Drive, Atlanta, GA 30332-0355reginald.desroches@ce.gatech.edu

1

Corresponding author. Currently at SAMTECH Italia s.r.l., Via Giovanni Rasori 13, 20145 Milano, Italy.

J. Eng. Mater. Technol 128(3), 312-319 (Mar 29, 2006) (8 pages) doi:10.1115/1.2204948 History: Received September 13, 2005; Revised March 29, 2006

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.

Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Loading type 1: simple loading-unloading

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Figure 2

Loading type 2: multiple loading-unloading

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Figure 3

Response to loading type 1: viscous model

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Figure 4

Response to loading type 1: thermomechanical model

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Figure 5

Response to loading type 1: evolution of the material temperature simulated by the thermomechanical model

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Figure 6

Response to loading type 2: viscous model

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Figure 7

Response to loading type 2: thermomechanical model

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Figure 8

Static loading conditions: experimental data (set 1) versus numerical results

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Figure 9

Dynamic loading conditions: experimental data (set 1) versus numerical results

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Figure 10

Static loading conditions: experimental data (set 2) versus numerical results

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Figure 11

Dynamic loading conditions: experimental data (set 2) versus numerical results

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Figure 12

Static loading conditions: experimental data (set 3) versus numerical results

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Figure 13

Dynamic loading conditions: experimental data (set 3) versus numerical results

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Figure 14

Static loading conditions: experimental data (set 4) versus numerical results

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Figure 15

Dynamic loading conditions: experimental data (set 4) versus numerical results

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Figure 16

Static loading conditions: evaluation of the equivalent viscous damping

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Figure 17

Dynamic loading conditions: evaluation of the equivalent viscous damping

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