Modeling and Numerical Simulation of Shape Memory Alloy Devices Using a Real Multi-Dimensional Model

  • X. Gao
  • W. Huang
  • J. Zhu
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 89)


It is well known for some years that Shape Memory Alloys (SMAs) have great potential in a wide range of applications. The commercial market of SMA based devise is expanding very quickly in the past few years.


Shape Memory Alloy Yield Surface Transformation Strain Reverse Transformation Finite Element Approach 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Ansys, Ansys Element Reference, Ansys Inc. 1999.Google Scholar
  2. Auricchio, F., Lubliner L.: A uni-axial model for shape-memory alloys, International Journal of Solids and Structures, 34:27(1997), 3601–3618.CrossRefzbMATHGoogle Scholar
  3. Berg, B. (1997) Twist and stretch: combined loading of pseudoelastic NiTi tubing, SMST-97, Pacific Grove, California, pp. 443–448.Google Scholar
  4. Brinson, L.C., Lammering, R.: Finite element analysis of the behavior of shape memory alloys and their applications. International Journal of Solids and Structures, Vol. 30, No. 23(1993), 3261–3280.CrossRefzbMATHGoogle Scholar
  5. Gall, K., H. Sehitoglu, Y.I. Chumlyakov and I.V. Kireeva: Tension-compression asymmetry of the stressstrain response in aged single crystal and polycrystalline NiTi, Acta Mater, Vol. 47 No.4(1999), 1203–1217.CrossRefGoogle Scholar
  6. Huang, W.: “Yield” surfaces of shape memory alloys and their applications, Acta Mater., Vol. 47, No. 9(1999a), 2769–2776.CrossRefGoogle Scholar
  7. Huang, W.: Modified shape memory alloy (SMA) model for SMA wire-based actuator design, Journal of Intelligent material systems and structures, Vol. 10, No. 3(1999b), 221–231Google Scholar
  8. Huang, W.: To predict the behavior of shape memory alloys under proportional load, (2000) submitted.Google Scholar
  9. Bhattacharya, K., James, R.D.: A theory of thin films of martensitic materials with applications to microactuators, Journal of the Mechanics and Physics of Solids, 47(1999), 531–576.MathSciNetCrossRefzbMATHGoogle Scholar
  10. Liang, C. and Rogers, C.A.: One dimensional thermomechanical constitutive relations for shape memory materials, Journal of Intelligent material systems and structures 1(1990), 207–234.CrossRefGoogle Scholar
  11. Liang, C. and Rogers, C.A.: A multi-dimensional constitutive model for shape memory alloys, Journal of Engineering Mathematics 26(1992), 429–443.MathSciNetCrossRefzbMATHGoogle Scholar
  12. Lim T.J. and D.L. McDowell: Mechanical behavior of an Ni−Ti shape memory alloy under axial-torsional proportional and nonproportional loading, Journal of Engineering Materials and Technology, 121:1(1999), 9–18.CrossRefGoogle Scholar
  13. Owen D. R. J. and E. Hinton; Finite Elements in Plasticity: Theory and Practice, Pineridge Press Ltd, Swansea, U.K., 1980, 235–242.zbMATHGoogle Scholar
  14. Patoor, E., A. Eberhardt and M. Berveiller: Micromechanical modeling of the shape memory behavior, Mechanics of phase transformations and shape memory alloys, ASME, AMD Vol. 189(1994), pp. 23–38.Google Scholar
  15. Pelton, A.R., Rebelo, N., Duerig, T.W. and Wich A. (1994) Experimental and FEM analysis of the bending behavior of superelastic tubing, SMST94, Pacific Grove, California, USA, pp.353–364.Google Scholar
  16. Tanaka, K.: A thermomechanical sketch of shape memory effect: One-dimensional tensile behavior, Res. Mechanica 18(1986), 251–263.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • X. Gao
    • 1
  • W. Huang
    • 1
  • J. Zhu
    • 1
  1. 1.Centre for Advanced Numerical Engineering Simulations School of MPENanyang Technological UniversitySingapore

Personalised recommendations