A simple one-dimensional model has been developed to illustrate methods to account for transformation bands in plasticity-based models. Austenite-martensite and martensite-austenite transformations are described by two transformation surfaces in analogy to yield surfaces in plasticity theory. The strain-rate dependence of the material behavior is caused solely by the latent heat of the transformations. Optical and thermographical experiments have been carried out to clarify the dependence of the transformation bands on the distribution of latent heat and therefore on the thermomechanical behavior.
1.
Duerig
, T. W.
, Melton
, K. N.
, Stöckel
, D.
, and Wayman
, C. M.
, 1990, Engineering Aspects of Shape Memory Alloys
, Butterworth-Heinemann
, London.2.
Roubicek
, T.
, 2004, “Models of Microstructure Evolution in Shape Memory Alloys
,” Nonlinear Homogenization and Its Applications to Composites, Polycrystals and Smart Materials
, P.
Ponte Castañeda
et al., eds., Kluwer Academic
, Dordrecht, pp. 269
–304
.3.
Bertram
, A.
, 1982, “Thermo-Mechanical Constitutive Equations for the Description of Shape Memory Effects in Alloys
,” Nucl. Eng. Des.
0029-5493, 74
, pp. 173
–182
.4.
Bo
, Z.
, and Lagoudas
, D.
, 1999, “Thermomechanical Modeling of SMAs Under Cyclic Loading
,” Int. J. Eng. Sci.
0020-7225, 37
, pp. 1089
–1249
.5.
Helm
, D.
, and Haupt
, P.
, 2003, “Shape Memory Behavior: Modelling within Continuum Thermomechanics
,” Int. J. Solids Struct.
0020-7683, 40
, pp. 827
–849
.6.
Miyazaki
, S.
, Imai
, T.
, Otsuka
, K.
, and Suzuki
, Y.
, 1981, “Lüders-like Deformation Observed in the Transformation Pseudoelasticity of a Ti‐Ni Alloy
,” Scr. Metall.
0036-9748, 15
, pp. 853
–856
.7.
Sun
, Q. P.
, Li
, Z. Q.
, and Tse
, K. K.
, 2001, “On Superelastic Deformation of NiTi Shape Memory Alloy Micro-Tube and Wires-Band Nucleation and Propagation
,” Smart Structures and Structronic Systems
, U.
Gabbert
and H. S.
Tzou
, eds., Kluwer Academic
, Dordrecht, pp. 113
–120
.8.
Shaw
, J. A.
, and Kyriakides
, S.
, 1997, “On the Nucleation and Propagation of Phase Transformation Fronts in a NiTi Alloy
,” Acta Mater.
1359-6454, 45
, pp. 683
–700
.9.
Iadicola
, M. A.
, and Shaw
, J. A.
, 2004, “Rate and Thermal Sensitivities of Unstable Transformation Behavior in a Shape Memory Alloy
,” Int. J. Plast.
0749-6419, 20
, pp. 588
–605
.10.
Gandhi
, F.
, and Wolons
, D.
, 1999, “Characterization of the Pseudoelastic Damping Behavior of Shape Memory Alloy Wires Using Complex Modulus
,” Smart Mater. Struct.
0964-1726, 8
, pp. 49
–56
.11.
Malovrh
, B.
, and Gandhi
, F.
, 2001, “Mechanism-Based Phenomenological Models for the Pseudoelastic Hysteresis Behavior of Shape Memory Alloys
,” J. Intell. Mater. Syst. Struct.
1045-389X, 12
, pp. 21
–30
.12.
Liu
, Y.
, 2004, “Mechanistic Simulation of Deformation-Induced Martensite Stabilisation
,” Mater. Sci. Eng., A
0921-5093, 378
, pp. 459
–464
.13.
Leo
, P. H.
, Shield
, T. W.
, and Bruno
, O. P.
, 1993, “Transient Heat Transfer Effects on the Pseudoelastic Behavior of Shape-Memory Wires
,” Acta Metall. Mater.
0956-7151, 41
, pp. 2477
–2485
.14.
Lin
, P.-H.
, Tobushi
, H.
, Tanaka
, K.
, Hattori
, T.
, and Ikai
, A.
, 1996, “Influence of Strain Rate on Deformation Properties of TiNi Shape Memory Alloy
,” JSME Int. J., Ser. A
1340-8046, 39
, pp. 117
–123
.15.
Wolons
, D.
, Gandhi
, F.
, and Malovrh
, B.
, 1998, “Experimental Investigation of the Pseudoelastic Hysteresis Damping Characteristics of Shape Memory Alloy Wires
,” J. Intell. Mater. Syst. Struct.
1045-389X, 9
, pp. 116
–126
.16.
Brinson
, L. C.
, Schmidt
, I.
, and Lammering
, R.
, 2004, “Stress-Induced Transformation Behavior of a Polycrystalline NiTi Shape Memory Alloy: Micro and Macromechanical Investigations via in situ Optical Microscopy
,” J. Mech. Phys. Solids
0022-5096, 52
, pp. 1549
–1571
.17.
Simo
, J. C.
, and Hughes
, T. J. R.
, 1998, Computational Inelasticity
, Springer
, New York.18.
Schmidt
, I.
, 2004, “Untersuchungen zur Dämpfungskapazität superelastischer Nickel-Titan-Formgedächtnislegierungen
,” Diss., Helmut-Schmidt-University, University of the Federal Armed Forces Hamburg.Copyright © 2006
by American Society of Mechanical Engineers
You do not currently have access to this content.