Transactions of the Korean Society of Automotive Engineers (한국자동차공학회논문집)

The Korean Society of Automotive Engineers (한국자동차공학회)
권호 표지

Finite Element Analysis of NiTi Alloy Tubes with the Superelastic Behavior

초탄성 거동을 고려한 NiTi 합금 튜브의 변형해석

  • Kang, Woo-Jong (Structural Characteristics Engineering Lab., Korea Automotive Technology Institute)
  • 강우종 (자동차부품연구원 구조특성연구팀)
  • Published : 2006.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

NiTi alloy known as its shape memory effect also has superelastic characteristic, which makes it possible to be elastic under large deformation. Since the tensile strength of the alloy is very high and density is low compared to carbon steel, it can be applied to lightweight structural design. In order to design structures with shape memory alloy, finite element analysis is used and a constitutive algorithm based on Aurrichio's model is added to LS-DYNA as a user subroutine. Explicit time integration and shell element formulation are used to simulate thin-walled structures. The algorithm uses Drucker-Prager type loading condition to calculate martensite volume fraction during the transformation. The implemented algorithm is verified in uni-axial loading condition and martensite phase transformation can be detected well with the algorithm. In this study, as a energy absorbing structure, thin-walled tube is modeled with finite elements and the deformation behavior is studied. Simulation results has shown that the martensite transformation was generated in loading condition. After plastic deformation reached, the load decreases linearly without reverse martensite transformation.

Keywords

References

  1. T. H. Jeong, D. J. Lee and H. G. Kim, 'Development of Al Matrix Composite using Shape Memory Alloy,' Transactions of KSAE, Vol.6, No.6, pp.53-62, 1998
  2. J. H. Roh, I. K. Oh, S. M. Yang, J. H. Han and I. Lee, 'Thermal Post-Buckling Analysis of Shape Memory Alloy Hybrid Composite Shell Panels,' Smart Materials and Structures, Vol.13, No.6, pp.1345-1350, 2004 https://doi.org/10.1088/0964-1726/13/6/007
  3. A. R. Pelton, N. Rebelo, T. W. Duerig and A. Wick, 'Experimental and FEM Analysis of the Bending Behavior of Superelastic Tubing,' The First International Conference on Shape Memory and Superelastic Technologies, Pacific Grove: MIAS, pp.353-358, 1994
  4. K. Tanaka, 'A Thermomechanical Sketch of Shape Memory Effect: One-Dimensional Tensile Behavior,' Res Mechanical, Vol.18, pp.251-263, 1986
  5. C. Liang and C. A. Logers, 'One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials,' J. of Intell. Mater. Syst. and Struct., Vol.1, pp.207-234, 1990 https://doi.org/10.1177/1045389X9000100205
  6. L. C. Brinson and R. Lammering, 'Finite Element Analysis of the Behavior of Shape Memory Alloys and Their Applications,' Int. J. Solids Struct., Vol.30, No.23, pp.3261-3280, 1993 https://doi.org/10.1016/0020-7683(93)90113-L
  7. C. Liang and C. A. Rogers, 'A Multi- Dimensional Constitutive Model for Shape Memory Alloys,' Journal of Engineering Mathematics, Vol.26, pp.429-443, 1992 https://doi.org/10.1007/BF00042744
  8. F. Trochu and Y. Y. Qian, 'Nonlinear Finite Element Simulation of Superelastic Shape Memory Alloy Parts,' Computers & Structures, pp.799-810, 1997
  9. J. Lubliner and F. Auricchio, 'Generalized Plasticity and Shape Memory Alloys,' Int. J. Solids. Struct., Vol.33, pp.991-1003, 1996 https://doi.org/10.1016/0020-7683(95)00082-8
  10. F. Auricchio, R. L. Taylor and J. Lubliner, 'Shape-memory Alloys: Macromodelling and Numerical Simulations of the Superelastic Behavior,' Comput. Methods Appl. Mech. Engrg., Vol.146, pp.281-312, 1997 https://doi.org/10.1016/S0045-7825(96)01232-7
  11. M. A. Qidwai and D. C. Lagoudas, 'Numerical Implementation of a Shape Memory Alloy Thermomechanical Constitutive Model Using Return Mapping Algorithms,' Int. J. Numer. Meth. Engng., Vol.47, pp.1123-1168, 2000 https://doi.org/10.1002/(SICI)1097-0207(20000228)47:6<1123::AID-NME817>3.0.CO;2-N
  12. S. Nemat-Nasser, J. Y. Choi, W.G. Guo and J. B. Isaacs, 'Very High Strain-rate Response of a NiTi Shape-Memory Alloy,' Mechanics of Materials, Vol.37(2-3), pp.287-298, 2005 https://doi.org/10.1016/j.mechmat.2004.03.007
  13. S. Nemat-Nasser and J. Y. Choi, 'Strain rate Dependence of Deformation Mechanisms in a Ni-Ti-Cr Shape-Memory Alloy,' Acta Materialia, Vol.53, No.2, pp.449-454, 2005 https://doi.org/10.1016/j.actamat.2004.10.001
  14. LS-DYNA, Ver. 970 Theory Manual, 2005