Thermomechanical modeling on the crack initiation of NiTi shape memory alloy

Thermomechanical modeling on the crack initiation of NiTi shape memory alloy

Dongjie Jiang1, Yao Xiao2, 3

1School of Aeronautics and Astronautics, Shanghai Jiao Tong University, 200240 Shanghai, China.

2School of Mechanical Engineering, Tongji University, 201804 Shanghai, China.

3Institute for Advanced Study, Tongji University, 200092 Shanghai, China.

DOI:

https://doi.org/10.7494/cmms.2022.1.0776

Abstract:

The fracture of shape memory alloys is distinct from that of conventional metals, owing to the coexistence and interaction of multiple special features such as martensitic transformation, dislocation-induced plasticity, thermomechanical coupling and others. In this paper, the impact of thermomechanical behavior upon the crack initiation of a NiTi shape memory alloy under Mode I loading is investigated numerically and verified experimentally. A constitutive model incorporating phase transformation, plasticity and thermomechanical coupling is established. Via backward Euler integration and finite-element implementation, the longitudinal strain, martensite volume fraction and temperature field in the vicinity of the crack tip are furnished. The effects of grain size and loading rate on J-integral are revealed. The grain size dependence of crack initiation is non-monotonic. For the samples with grain sizes of 1500 nm, 18 nm and 10 nm, the shielding effect takes place in front of the crack. Additionally, the anti-shielding effect is detected for samples with grain sizes of 80 nm and 42 nm. The parametric study shows that loading rate imposes limited influence on J-integral, which is attributed to a small scale transformation. The decrement of yield stress and the increment of transformation hardening modulus can alleviate the anti-shielding effect and arouse the shielding effect upon crack initiation. The presented results shed light on the design and fabrication of high toughness phase transformable materials.

Cite as:

Jiang, D., & Xiao, Y. (2022). Thermomechanical modeling on the crack initiation of NiTi shape memory alloy. Computer Methods in Materials Science, 22(1), pages 31-42. https://doi.org/10.7494/cmms.2022.1.0776

Article (PDF):

Keywords:

Shape memory alloy, Martensitic transformation, Crack initiation, Thermomechanical coupling

References:

Ahadi, A., & Sun, Q. (2013). Stress hysteresis and temperature dependence of phase transition stress in nanostructured NiTi–Effects of grain size. Applied Physics Letters, 103(2), 021902.

Ahadi, A., & Sun, Q. (2014). Effects of grain size on the rate-dependent thermomechanical responses of nanostructured superelastic NiTi. Acta Materialia, 76, 186–197.

Ahadi, A., & Sun, Q. (2016). Grain size dependence of fracture toughness and crack-growth resistance of superelastic NiTi. Scripta Materialia, 113, 171–175.

Ardakani, S.H., Ahmadian, H., & Mohammadi, S. (2015). Thermo-mechanically coupled fracture analysis of shape memory alloys using the extended finite element method. Smart Materials and Structures, 24(4), 045031.

Ardakani, S.H., Afshar, A., & Mohammadi, S. (2016). Numerical study of thermo-mechanical coupling effects on crack tip fields of mixed-mode fracture in pseudoelastic shape memory alloys. International Journal of Solids Structures, 81, 160–178.

Baxevanis, T., Parrinello, A.F., & Lagoudas, D.C. (2013). On the fracture toughness enhancement due to stress-induced phase transformation in shape memory alloys. International Journal of Plasticity, 50, 158–169.

Baxevanis, T., Landis, C.M., & Lagoudas, D.C. (2014). On the effect of latent heat on the fracture toughness of pseudoelastic shape memory alloys. Journal of Applied Mechanics, 81(10), 101006.

Daly, S., Miller, A., Ravichandran, G., & Bhattacharya, K. (2007). Experimental investigation of crack initiation in thin sheets of nitinol. Acta Materialia, 55(18), 6322–6330.

Daymond, M.R., Young, M.L., Almer, J.D., & Dunand, D.C. (2007). Strain and texture evolution during mechanical loading of a crack tip in martensitic shape-memory NiTi. Acta Materialia, 55(11), 3929–3942.

Gollerthan, S., Young, M.L., Baruj, A., Frenzel, J., Schmahl, W.W., & Eggeler, G. (2009). Fracture mechanics and microstructure in NiTi shape memory alloys. Acta Materialia, 57(4), 1015–1025.

Haghgouyan, B., Shafaghi, N., Aydıner, C.C., & Anlas, G. (2016). Experimental and computational investigation of the effect of phase transformation on fracture parameters of an SMA. Smart Materials and Structures, 25(7), 075010.

Hazar, S., Zaki, W., Moumni, Z., & Anlas, G. (2015). Modeling of steady-state crack growth in shape memory alloys using a stationary method. International Journal of Plasticity, 67, 26–38.

Imran, M., & Zhang, X. (2020). Recent developments on the cyclic stability in elastocaloric materials. Materials & Design, 195, 109030.

Jape, S., Young, B., Haghgouyan, B., Hayrettin, C., Baxevanis, T., Lagoudas, D.C., & Karaman, I. (2021). Actuation-Induced stable crack growth in near-equiatomic nickel-titanium shape memory alloys: Experimental and numerical analysis. International Journal of Solids Structures, 221, 165–179.

Javanbakht, M. (2021). High pressure phase evolution under hydrostatic pressure in a single imperfect crystal due to nanovoids. Materialia, 20, 101199.

Jiang, D., & Landis, C.M. (2016). A constitutive model for isothermal pseudoelasticity coupled with plasticity. Shape Memory and Superelasticity, 2(4), 360–370.

Lagoudas, D.C., Hartl, D., Chemisky, Y., Machado, L., & Popov, P. (2012). Constitutive model for the numerical analysis of phase transformation in polycrystalline shape memory alloys. International Journal of Plasticity, 32–33, 155–183.

LePage, W.S., Ahadi, A., Lenthe, W.C., Sun, Q.P., Pollock, T.M., Shaw, J.A., & Daly, S.H. (2018). Grain size effects on NiTi shape memory alloy fatigue crack growth. Journal of Materials Research, 33(2), 91–107.

LePage, W.S., Shaw, J.A., & Daly, S.H. (2021). Effects of texture on the functional and structural fatigue of a NiTi shape memory alloy. International Journal of Solids Structures, 221, 150–164.

Maletta, C., Bruno, L., Corigliano, P., Crupi, V., & Guglielmino, E. (2014). Crack-tip thermal and mechanical hysteresis in Shape Memory Alloys under fatigue loading. Materials Science and Engineering A, 616, 281–287.

Mutlu, F., Anlaş, G., & Moumni, Z. (2020). Effect of loading rate on fracture mechanics of NiTi SMA. International Journal of Fracture, 224(2), 151–165.

Robertson, S.W., Mehta, A., Pelton, A.R., & Ritchie, R.O. (2007). Evolution of crack-tip transformation zones in superelastic Nitinol subjected to in situ fatigue: A fracture mechanics and synchrotron X-ray microdiffraction analysis. Acta Materialia, 55(18), 6198–6207.

Roy, A.M. (2020). Influence of interfacial stress on microstructural evolution in NiAl alloys. JETP Letters, 112(3), 173–179.

Shuai, J., & Xiao, Y. (2020). In-situ study on texture-dependent martensitic transformation and cyclic irreversibility of superelastic NiTi shape memory alloy. Metallurgical and Materials Transactions A, 51(2), 562–567.

Ungár, T., Frenzel, J., Gollerthan, S., Ribárik, G., Balogh, L., & Eggeler, G. (2017). On the competition between the stress-induced formation of martensite and dislocation plasticity during crack propagation in pseudoelastic NiTi shape memory alloys. Journal of Materials Research, 32(23), 4433–4442.

Xiao, Y., & Jiang, D. (2020a). Rate dependence of transformation pattern in superelastic NiTi tube. Extreme Mechanics Letters, 39, 100819.

Xiao, Y., & Jiang, D. (2020b). Constitutive modelling of transformation pattern in superelastic NiTi shape memory alloy under cyclic loading. International Journal of Mechanical Sciences, 182, 105743.

Xu, L., Solomou, A., Baxevanis, T., & Lagoudas, D.C. (2021). Finite strain constitutive modeling for shape memory alloys considering transformation-induced plasticity and two-way shape memory effect. International Journal of Solids Structures, 221, 42–59.

You, Y., Gu, X., Zhang, Y., Moumni, Z., Anlaş, G., & Zhang, W. (2019). Effect of thermomechanical coupling on stress-induced martensitic transformation around the crack tip of edge cracked shape memory alloy. International Journal of Fracture, 216(3), 123–133.

Yu, C., Kang, G., & Kan, Q. (2018). An equivalent local constitutive model for grain size dependent deformation of NiTi polycrystalline shape memory alloys. International Journal of Mechanical Sciences, 138–139, 34–41.

Zhang, K., Kang, G., & Sun, Q. (2019). High fatigue life and cooling efficiency of NiTi shape memory alloy under cyclic compression. Scripta Materialia, 159, 62–67.