Skip to main content
Top
Published in: Journal of Materials Engineering and Performance 4/2015

01-04-2015

Thermomechanical Modeling of Stress Relaxation in Shape Memory Alloy Wires

Authors: Fateme Zare, Mahmoud Kadkhodaei, Iman Salafian

Published in: Journal of Materials Engineering and Performance | Issue 4/2015

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

When a shape memory alloy (SMA) is subjected to a mechanical load, especially at high strain rates, its temperature varies due to thermomechanical coupling in the response of these materials. Thus, if strain is kept constant during the transformation, temperature change will cause stress to decrease during loading and to increase during unloading. A decrease in stress under constant strain indicates stress relaxation, and an increase in stress indicates stress recovery, i.e., reverse stress relaxation. In this paper, a fully coupled thermomechanical model is developed in a continuum framework to study stress relaxation and stress recovery in SMA wires. Numerical simulations at different ambient temperatures, applied strain rates, wire radii, and relaxation intervals are done to show the abilities of the proposed model in predicting relaxation phenomena in various conditions where strain remains constant during loading or unloading. Relaxation experiments were also performed on NiTi wires, and the numerical and empirical results are shown to be in a good agreement.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
1.
go back to reference A. Pieczyska, H. Tobushi, K. Nowacki, P. Gadaj, and T. Sakuragi, Subloop Deformation Behavior of TiNi ShapeMemory Alloy Subjected to Stress-Controlled Loadings, Mater. Trans., 2007, 48, p 2679–2686CrossRef A. Pieczyska, H. Tobushi, K. Nowacki, P. Gadaj, and T. Sakuragi, Subloop Deformation Behavior of TiNi ShapeMemory Alloy Subjected to Stress-Controlled Loadings, Mater. Trans., 2007, 48, p 2679–2686CrossRef
2.
go back to reference Kohei Takeda, Hisaaki Tobushi, and Elzbieta A. Pieczyska, Transformation-Induced Creep and Creep Recovery of Shape Memory Alloy, Materials, 2012, 5(5), p 909–921CrossRef Kohei Takeda, Hisaaki Tobushi, and Elzbieta A. Pieczyska, Transformation-Induced Creep and Creep Recovery of Shape Memory Alloy, Materials, 2012, 5(5), p 909–921CrossRef
3.
go back to reference A.K. Mukherjee, High-Temperature-Creep Mechanism of TiNi, J. Appl. Phys., 1968, 39(5), p 2201–2204CrossRef A.K. Mukherjee, High-Temperature-Creep Mechanism of TiNi, J. Appl. Phys., 1968, 39(5), p 2201–2204CrossRef
4.
go back to reference H. Kato, T. Yamamoto, S. Hashimoto, and S. Miura, High-Temperature Plasticity of the β-Phase in Nearly-Equiatomic Nickel-Titanium Alloys, Mater. Trans. JIM, 1999, 40, p 343–350CrossRef H. Kato, T. Yamamoto, S. Hashimoto, and S. Miura, High-Temperature Plasticity of the β-Phase in Nearly-Equiatomic Nickel-Titanium Alloys, Mater. Trans. JIM, 1999, 40, p 343–350CrossRef
5.
go back to reference G. Eggeler, K. Khalil-Allafi, K. Neuking, and A. Dlouhy, Creep of Binary Ni-Rich NiTi Shape Memory Alloys and the Influence of Pre-Creep on Martensitic Transformations, Zeitschrift für Metallkunde, 2002, 93(7), p 654–660CrossRef G. Eggeler, K. Khalil-Allafi, K. Neuking, and A. Dlouhy, Creep of Binary Ni-Rich NiTi Shape Memory Alloys and the Influence of Pre-Creep on Martensitic Transformations, Zeitschrift für Metallkunde, 2002, 93(7), p 654–660CrossRef
6.
go back to reference C. Lexcellent, P. Robinet, D. Bernardini, L. Beke, and P. Olier, High Temperature Creep Measurements in Equiatomic Ni-Ti Shape Memory Alloy, Mater. Wissenschaft Werkstofftechnik, 2005, 36(10), p 509–512CrossRef C. Lexcellent, P. Robinet, D. Bernardini, L. Beke, and P. Olier, High Temperature Creep Measurements in Equiatomic Ni-Ti Shape Memory Alloy, Mater. Wissenschaft Werkstofftechnik, 2005, 36(10), p 509–512CrossRef
7.
go back to reference P.K. Kumar, D.C. Lagoudas, Creep Behavior in TiPdNi High Temperature Shape Memory Alloy, Proc. of SPIE, 2009, p 7289 P.K. Kumar, D.C. Lagoudas, Creep Behavior in TiPdNi High Temperature Shape Memory Alloy, Proc. of SPIE, 2009, p 7289
8.
go back to reference R. Matsui, H. Tobushi, and T. Ikawa, Transformation-Induced Creep and Stress Relaxation of TiNi Shape Memory Alloy, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials Design and Applications, 2004, 218(4), p 343–353 R. Matsui, H. Tobushi, and T. Ikawa, Transformation-Induced Creep and Stress Relaxation of TiNi Shape Memory Alloy, Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials Design and Applications, 2004, 218(4), p 343–353
9.
go back to reference K. Tanaka, A Thermomechanical Sketch of Shape Memory Effect: One Dimensional Tensile Behavior, Intell. Mater., 1986, 18, p 251–263 K. Tanaka, A Thermomechanical Sketch of Shape Memory Effect: One Dimensional Tensile Behavior, Intell. Mater., 1986, 18, p 251–263
10.
go back to reference M. Kadkhodaei, R.K.N.D. Rajapakse, M. Mahzoon, and M. Salimi, Modeling of the Cyclic Thermomechanical Response of SMA Wires at Different Strain Rates, Smart. Mater. Struct., 2007, 16, p 2091–2101CrossRef M. Kadkhodaei, R.K.N.D. Rajapakse, M. Mahzoon, and M. Salimi, Modeling of the Cyclic Thermomechanical Response of SMA Wires at Different Strain Rates, Smart. Mater. Struct., 2007, 16, p 2091–2101CrossRef
11.
go back to reference L.C. Brinson and M.S. Huang, Simplifications and Comparisons of Shape Memory Alloy Constitutive models, J. Intell. Mater. Syst. Stuct., 1996, 7, p 108–114CrossRef L.C. Brinson and M.S. Huang, Simplifications and Comparisons of Shape Memory Alloy Constitutive models, J. Intell. Mater. Syst. Stuct., 1996, 7, p 108–114CrossRef
12.
go back to reference F. Auricchio and E. Sacco, A One Dimensional Model for Superelastic Shape Memory Alloys with Different Elastic Properties Between Austenite and Martensite, Int. J. Non Linear Mech., 1997, 32, p 1101–1114CrossRef F. Auricchio and E. Sacco, A One Dimensional Model for Superelastic Shape Memory Alloys with Different Elastic Properties Between Austenite and Martensite, Int. J. Non Linear Mech., 1997, 32, p 1101–1114CrossRef
13.
go back to reference J.H. Chung, J.S. Heo, and J.J. Lee, Implementation Strategy for the Dual Transformation Region in the Brinson SMA Constitutive Model, Smart Mater. Struct., 2007, 16(1), p N1CrossRef J.H. Chung, J.S. Heo, and J.J. Lee, Implementation Strategy for the Dual Transformation Region in the Brinson SMA Constitutive Model, Smart Mater. Struct., 2007, 16(1), p N1CrossRef
14.
go back to reference F. Zare, Investigation of Creep and Stress Relaxation in Shape Memory Alloy Wire, M.Sc. Thesis, Isfahan University of Technology, Isfahan, 2013 (in Persian) F. Zare, Investigation of Creep and Stress Relaxation in Shape Memory Alloy Wire, M.Sc. Thesis, Isfahan University of Technology, Isfahan, 2013 (in Persian)
15.
go back to reference S.W. Churchill and H.H.S. Chu, Correlating Equations for Laminar and Turbulent Free Convection from a Horizontal Cylinder, Int. J. Heat Mass Transf., 1975, 18, p 1049–1053CrossRef S.W. Churchill and H.H.S. Chu, Correlating Equations for Laminar and Turbulent Free Convection from a Horizontal Cylinder, Int. J. Heat Mass Transf., 1975, 18, p 1049–1053CrossRef
16.
go back to reference S.G. Shu, D.C. Lagoudas, D. Huges, and J.T. Wen, Modeling of a Flexible Beam Actuated by Shape Memory Alloy Wires, Smart Mater. Struct., 1997, 6, p 265–277CrossRef S.G. Shu, D.C. Lagoudas, D. Huges, and J.T. Wen, Modeling of a Flexible Beam Actuated by Shape Memory Alloy Wires, Smart Mater. Struct., 1997, 6, p 265–277CrossRef
Metadata
Title
Thermomechanical Modeling of Stress Relaxation in Shape Memory Alloy Wires
Authors
Fateme Zare
Mahmoud Kadkhodaei
Iman Salafian
Publication date
01-04-2015
Publisher
Springer US
Published in
Journal of Materials Engineering and Performance / Issue 4/2015
Print ISSN: 1059-9495
Electronic ISSN: 1544-1024
DOI
https://doi.org/10.1007/s11665-015-1440-2

Other articles of this Issue 4/2015

Journal of Materials Engineering and Performance 4/2015 Go to the issue

Premium Partners