A New Continuous Model of Shape Memory Alloys

Abstract:

Article Preview

In this paper a new one-dimensional continuous model was proposed for Shape Memory Alloys (SMAs), which can be applied in the continuous dynamic loading system. After a literature review over the constitutive modeling of SMAs, an improved continuous model considering the influences of the various strain rates of SMAs was developed, which based on a series of experiments. The results of the experiments were used to validate the effectiveness of the proposed model. The constant factors in the model were determined according to the measured experimental data. The parameters in the model were also numerically analyzed and the numerical results matched well with experimental results. The results of the simulation showed that the developed model can effectively represented the relationship between the strain and stress of SMAs under dynamic loading and can be better applied in structure control.

Info:

Periodical:

Edited by:

Chunliang Zhang and Paul P. Lin

Pages:

2467-2470

Citation:

W. Wang and S. Yan, "A New Continuous Model of Shape Memory Alloys", Applied Mechanics and Materials, Vols. 226-228, pp. 2467-2470, 2012

Online since:

November 2012

Authors:

Export:

Price:

$38.00

[1] Wang J., Y. P. Shen and S. L. Wang, The Development of the Constitutive Relation of a Shape Memory Alloy, Archive for Rational Mechanics and Analysis, Vol. 19(1998) No. (3), pp.185-195.

[2] Müller I., A Model for a Body with Shape-memory, Shanghai Journal of Mechanics, Vol. 70(1979), pp.61-77.

[3] Tanaka, K., A Thermomechanical Sketch of Shape Memory Effect: One-Dimensional Tensile Behavior, Res Mechanics, Vol. 18(1986) No. 3, pp.251-263.

[4] Liang C. and C. A. Rogers, One-dimensional Thermomechanical Constitutive Relations for Shape Memory Materials, Journal of Intelligent Material Systems and Structures, Vol. 1 (1990) No. 2, pp.207-234.

DOI: https://doi.org/10.1177/1045389x9000100205

[5] Brinson, L. C., One-Dimensional Constitutive Behavior of Shape Memory Alloys: Thermo-mechanical Derivation with Non-Constant Materials Function and Redefined Martensite Internal Variable, Journal of Intelligent Material Systems and Structures, Vol. 4(1993).

DOI: https://doi.org/10.1177/1045389x9300400213

[6] Graesser, E.J. and F. A. Cpzzarelli, Shape Memory Alloys as New Materials for Aseismic Isolation, Journal of Engineering Mechanics, Vol. 117 (1991) No. 11, pp.2590-2608.

DOI: https://doi.org/10.1061/(asce)0733-9399(1991)117:11(2590)

[7] Bernard, Y., E. Mendes and F. Bouillault, Dynamic Hysteresis Modeling Based on the Preisach model, " IEEE Transactions on Magnetics, Vol . 38(2002), pp.885-888.

DOI: https://doi.org/10.1109/20.996228

[8] Arai K., S. Aramaki, K. Yanagisawa, Continuous System Modeling of Shape Memory Alloy (SMA) for Control Analysis, Proceedings of the 5th IEEE International Symposium on Micro Machine and Human Science, (1994), pp.97-99.

DOI: https://doi.org/10.1109/ismmhs.1994.512905

[9] Yan Shi, Wang Wei. A continuous dynamic constitutive model of shape memory alloys. Earth and Space, ASCE, (2008), p. 65262P1-8.