Numerical Study on Localization of Phase Transformation in NiTi Shape Memory Wires

Abstract:

Martensitic phase transformation in NiTi shape memory alloys (SMA) can spread either homogenously or in localized martensitic transformation bands. Transformation band propagation is usually observed in particular loading modes (tension) and geometries of specimen (wires, thin ribbons). In this work, a well established NiTi SMA constitutive model is enhanced so that strain softening of the material response during stress induced phase transition is covered. A nonlocal integral averaging technique is adopted and the model is implemented into a finite element (FE) software. A simple validating simulation of a NiTi superelastic wire loaded in tension is performed.

• Periodical: Solid State Phenomena (Volume 258)
• Pages: 141-144
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.258.141
• Online since: December 2016
• Authors: Miroslav Frost*, Petr Sedlák, Petr Sittner
• Keywords: Localized Déformation, Martensite, NiTi, Numerical Implementation

References

[1] J.A. Shaw and S. Kyriakides: Int. J. Plast. Vol. 13 (1998), p.837.

[2] Q.P. Sun and Z.Q. Li: Int. J. Solids Struct. Vol. 39 (2002), p.3797.

[3] M.L. Young, M.F.X. Wagner, J. Freenyel, et al.: Acta Mater. Vol. 58 (2010), p.2344.

[4] M. Kimiecik, J.W. Jones and S.H. Daly: Acta Mater. Vol. 94 (2015), p.214.

[5] B.J. Reedlunn, C.B. Churchill, E.E. Nelson, et al.: J. Mech. Phys. Solids Vol. 63 (2014), p.506.

[6] C. Elibol and M.F.X. Wagner: Mat. Sci. Eng. A Vol. 621 (2015), p.76.

[7] P. Šittner, Y. Liu and V. Novák: J. Mech. Phys. Solids Vol. 53 (2005), p.1719.

[8] B. Chang, J.A. Shaw and M.A. Iadicola: Continuum Mech. Thermodyn. Vol. 18 (2006), 83.

[9] M.A. Iadicola and J.A. Shaw: Int. J. Plast. Vol. 20 (2004), p.577.

[10] K.M. Armattoe, M. Haboussi and T. Ben Zineb: Int. J. Solids Struct. 51 (2014), p.1208.

[11] H. Ahmadian, S.H. Ardakani and S. Mohammadi: Int. J. Solids and Struct. Vol. 63 (2015), p.167.

[12] H. Badnava, M. Kadkhodaei and M. Mashayekhi: J. Int. Mater. Syst. Struct. Vol. 26 (2015), p.2531.

[13] J. Racek, M. Stora, P. Šittner, et al.: Shap. Mem. Superelasticity Vol. 1 (2015), p.204.

[14] P. Sedlák, M. Frost, B. Benešová, et al.: Int. J. Plast. Vol. 39 (2012), p.132.

[15] M. Frost, B. Benešová and P. Sedlák: Math. Mech. Solids Vol. 21 (2016), p.358.

[16] M. Frost, P. Sedlák, L. Kadeřávek, et al.: J. Int. Mat. Syst. Struct. Vol. 27 (2016), p. (1927).

[17] Z.P. Bažant and M. Jirásek: J. Eng. Mech. Vol. 128 (2002), p.1119.

[18] M. Jirásek and S. Rolshoven: Int. J. Solids Struct. Vol. 46 (2009), p.2239.

[19] P. Sedmák, J. Pilch, L. Heller, et al.: Science Vol. 353 (2016), p.559.