Micromechanical Modeling of Precipitation Hardened NiTiHf

Abstract:

Actuation response of NiTiHf high temperature SMAs can be enhanced by means of suitable heat treatment on the material through precipitation hardening. Heat treatments can be chosen carefully to improve the performance of the NiTiHf SMAs in order to meet the requirements of targeted applications to design more robust and efficient high temperature solid-state actuator systems. The present work aims to develop a novel approach to model and predict the behavior of heat-treated NiTiHf SMAs. The predictions of the thermomechanical response of NiTiHf SMAs are based on Representative Volume Elements (RVEs). The precipitated NiTiHf SMA is modeled as a composite consist of of thermo-elastic non-transforming precipitates and a polycrystalline SMA matrix. The structural effect of precipitates and the effect of Hf-concentration gradient resulted from Hf depletion during precipitation are included. The composition distribution resulting from the elemental depletion and the transformation temperature distributions in the SMA matrix are related. In the present work, these relations are developed from experimental measurements on several NiTiHf compositions. Thermo-mechanical responses of Ni_50.3Ti_29.7Hf₂₀ heat-treated at 500°C for 48h at different loading conditions are predicted and the correlations with experimental results demonstrate the validity of the proposed framework.

• Periodical: Materials Science Forum (Volume 915)
• Pages: 147-156
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.915.147
• Online since: March 2018
• Authors: Jobin K. Joy*, Alexandros Solomou, Theocharis Baxevanis, Ibrahim Karaman, Dimitris C. Lagoudas
• Keywords: Finite Element Analysis, Micromechanics, Precipitation Hardened Ni-Rich NiTiHf, Shape Memory Alloys, Shape Memory Effect, Superelasticity

References

[1] H. Karaca et al., Effects of nanoprecipitation on the shape memory and material properties of an Ni-rich NiTiHf high temperature shape memory alloy.

DOI: 10.1016/j.actamat.2013.08.048

[2] J. Ma, I. Karaman, and R. Noebe, High temperature shape memory alloys,, Int. Mater. Rev., vol. 55, no. 5, p.257–315, (2010).

DOI: 10.1179/095066010x12646898728363

[3] Z. K. Lu and G. J. Weng, Martensitic transformation and stress-strain relations of shape-memory alloys,, J. Mech. Phys. Solids, vol. 45, no. 11–12, p.1905–1928, (1997).

DOI: 10.1016/s0022-5096(97)00022-7

[4] Z. K. Lu and G. J. Weng, A self-consistent model for the stress-strain behavior of shape-memory alloy polycrystals,, Acta Mater., vol. 46, no. 15, p.5423–5433, (1998).

DOI: 10.1016/s1359-6454(98)00203-1

[5] C. Collard and T. Ben Zineb, Simulation of the effect of elastic precipitates in SMA materials based on a micromechanical model,, Compos. Part B Eng., vol. 43, no. 6, p.2560–2576, (2012).

DOI: 10.1016/j.compositesb.2012.03.015

[6] C. Collard, T. Ben Zineb, E. Patoor, and M. O. Ben Salah, Micromechanical analysis of precipitate effects on shape memory alloys behaviour,, Mater. Sci. Eng. A, vol. 481–482, no. 1–2 C, p.366–370, (2008).

DOI: 10.1016/j.msea.2007.05.112

[7] J. G. Boyd and D. C. Lagoudas, Shape Memory Composites,, J. Intell. Mater. Syst. Struct., vol. 5, no. May, p.333–346, (1994).

[8] J. G. Boyd and D. C. Lagoudas, A thermodynamical constitutive model for shape memory materials. Part II. The SMA composite material,, Int. J. Plast., vol. 12, no. 7, p.843–873, (1996).

DOI: 10.1016/s0749-6419(96)00031-9

[9] V. Birman, Properties and response of composite material with spheroidal superelastic shape memory alloy inclusions subject to three-dimensional stress state,, J.Phys.D, vol. 43, no. 22, p.225402--, (2010).

DOI: 10.1088/0022-3727/43/22/225402

[10] T. Baxevanis, A. Cox, and D. Lagoudas, Micromechanics of precipitated near-equiatomic Ni-rich NiTi shape memory alloys,, Acta Mech., vol. 225, no. 4–5, p.1167–1185, (2014).

DOI: 10.1007/s00707-013-1071-3

[11] A. Cox, B. Franco, S. Wang, T. Baxevanis, I. Karaman, and D. C. Lagoudas, Predictive Modeling of the Constitutive Response of Precipitation Hardened Ni-Rich NiTi,, Shape Mem. Superelasticity, (2017).

DOI: 10.1007/s40830-016-0096-6

[12] J. K. Joy, A. Solomou, T. Baxevanis, and D. C. Lagoudas, Predicting the constitutive response of precipitation hardened NiTiHf,, vol. 10165, p. 101650F, (2017).

DOI: 10.1117/12.2263501

[13] D. Lagoudas, D. Hartl, Y. Chemisky, L. MacHado, and P. Popov, Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys,, Int. J. Plast., vol. 32–33, p.155–183, (2012).

DOI: 10.1016/j.ijplas.2011.10.009

[14] Y. Tong, F. Chen, B. Tian, L. Li, and Y. Zheng, Microstructure and martensitic transformation of Ti49Ni51 - xHfx high temperature shape memory alloys,, Mater. Lett., vol. 63, no. 21, p.1869–1871, (2009).

DOI: 10.1016/j.matlet.2009.05.069

[15] J. Frenzel, E. P. George, A. Dlouhy, C. Somsen, M. F. X. Wagner, and G. Eggeler, Influence of Ni on martensitic phase transformations in NiTi shape memory alloys,, Acta Mater., vol. 58, no. 9, p.3444–3458, (2010).

DOI: 10.1016/j.actamat.2010.02.019

[16] L. Bataillard, J.-E. Bidaux, and R. Gotthardt, Interaction between microstructure and multiple-step transformation in binary NiTi alloys using in-situ transmission electron microscopy observations,, Philos. Mag. A, vol. 78, no. 2, p.327–344, (1998).

DOI: 10.1080/01418619808241907

[17] E. Hornbogen, The effect of variables on martensitic transformation temperatures,, Acta Metall., vol. 33, no. 4, p.595–601, (1985).

DOI: 10.1016/0001-6160(85)90024-0

[18] A. Evirgen, I. Karaman, R. Santamarta, J. Pons, and R. D. Noebe, Microstructural characterization and shape memory characteristics of the Ni50.3Ti34.7Hf15 shape memory alloy,, Acta Mater., vol. 83, p.48–60, (2015).

DOI: 10.1016/j.actamat.2014.09.027

[19] A. EVIRGEN and I. Karaman, MICROSTRUCTURAL CHARACTERIZATION AND SHAPE MEMORY RESPONSE OF Ni-RICH NiTiHf AND NiTiZr HIGH TEMPERATURE SHAPE MEMORY ALLOYS,, Texas A&M, (2014).

DOI: 10.1016/j.actamat.2016.08.065

[20] X. Chen, From Nano-precipitates to Macroscale Composites : How Inclusion-Matrix Interactions Influence the Behaviors of Shape Memory Alloys and Structures,, The Ohio State University, (2015).

[21] A. Cox, B. Franco, T. Baxevanis, I. Karaman, and D. C. Lagoudas, Predictive modeling of the constitutive response of precipitation hardened Ni-rich NiTi shape memory alloys.

DOI: 10.1007/s40830-016-0096-6

[22] L. Casalena et al., Revealing Transformation and Deformation Mechanisms in NiTiHf and NiTiAu High Temperature Shape Memory Alloys Through Microstructural Investigations,, vol. 22, no. Suppl 3, p.1954–1955, (2016).

DOI: 10.1017/s1431927616010618

[23] R. Santamarta et al., TEM study of structural and microstructural characteristics of a precipitate phase in Ni-rich Ni-Ti-Hf and Ni-Ti-Zr shape memory alloys,, Acta Mater., vol. 61, no. 16, p.6191–6206, (2013).

DOI: 10.1016/j.actamat.2013.06.057

[24] F. Yang et al., Structure analysis of a precipitate phase in an Ni-rich high-temperature NiTiHf shape memory alloy,, Acta Mater., vol. 61, no. 9, p.3335–3346, (2013).

DOI: 10.1016/j.actamat.2013.02.023