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2019 | OriginalPaper | Buchkapitel

8. Development and Finite Element Implementation of a Simple Constitutive Model to Address Superelasticity and Hysteresis of Nitinol

verfasst von : Siddhartha Patra, Sarmita Sinha, Abhijit Chanda

Erschienen in: Advances in Materials, Mechanical and Industrial Engineering

Verlag: Springer International Publishing

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Abstract

Nitinol shows superelasticity and clearly defined hysteresis that possesses close resemblance to biological components. This is attributed to stress-induced phase transformation of Nitinol. The present article proposes a new constitutive model based on a simple schematic arrangement of friction block, spring, and rigid walls to replicate this unique behavior of Nitinol. In addition to superelasticity, the strain hardening and viscoplasticity are thoroughly explored and also incorporated in the model. Results of simulation closely match with the experimental data obtained from uniaxial testing of Nitinol wire. This model can be readily used for any case of superelasticity either due to phase transformation or any other microstructural behavior.

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Literatur
1.
Zurück zum Zitat Bellouard, Y.: Shape memory alloys for microsystems: a review from a material research perspective. Mater. Sci. Eng. A 481–482, 582–589 (2008)CrossRef Bellouard, Y.: Shape memory alloys for microsystems: a review from a material research perspective. Mater. Sci. Eng. A 481–482, 582–589 (2008)CrossRef
2.
Zurück zum Zitat Mahtabi, M., Shamsaei, N., Mitchell, M.: Fatigue of Nitinol: the state-of-the-art and ongoing challenges. J. Mech. Behav. Biomed. Mater. 50, 228–254 (2015)CrossRef Mahtabi, M., Shamsaei, N., Mitchell, M.: Fatigue of Nitinol: the state-of-the-art and ongoing challenges. J. Mech. Behav. Biomed. Mater. 50, 228–254 (2015)CrossRef
3.
Zurück zum Zitat Plotino, G., Grande, N.M., Cordaro, M., Testarelli, L., Gambarini, G.: A review of cyclic fatigue testing of nickel-titanium rotary instruments. J. Endod. 35, 1469–1476 (2009)CrossRef Plotino, G., Grande, N.M., Cordaro, M., Testarelli, L., Gambarini, G.: A review of cyclic fatigue testing of nickel-titanium rotary instruments. J. Endod. 35, 1469–1476 (2009)CrossRef
4.
Zurück zum Zitat Jani, J.M., Leary, M., Subic, A., Gibson, M.A.: A review of shape memory alloy research, applications and opportunities. Mater. Des. 56, 1078–1113 (2014)CrossRef Jani, J.M., Leary, M., Subic, A., Gibson, M.A.: A review of shape memory alloy research, applications and opportunities. Mater. Des. 56, 1078–1113 (2014)CrossRef
5.
Zurück zum Zitat Nayan, N., Buravalla, V., Ramamurty, U.: Effect of mechanical cycling on the stress–strain response of a martensitic Nitinol shape memory alloy. Mater. Sci. Eng. A 525, 60–67 (2009)CrossRef Nayan, N., Buravalla, V., Ramamurty, U.: Effect of mechanical cycling on the stress–strain response of a martensitic Nitinol shape memory alloy. Mater. Sci. Eng. A 525, 60–67 (2009)CrossRef
6.
Zurück zum Zitat Adharapurapu, R.R., Jiang, F., Bingert, F.J., Vecchio, S.K.: Influence of cold work and texture on the high-strain-rate response of Nitinol. Mater. Sci. Eng. A 527, 5255–5267 (2010)CrossRef Adharapurapu, R.R., Jiang, F., Bingert, F.J., Vecchio, S.K.: Influence of cold work and texture on the high-strain-rate response of Nitinol. Mater. Sci. Eng. A 527, 5255–5267 (2010)CrossRef
7.
Zurück zum Zitat Sadiq, H., Wong, B.M., Al-Mahaidi, R., Zhao, L.X.: The effects of heat treatment on the recovery stresses of shape memory alloys. Smart Mater. Struct. 19, 1–7 (2010)CrossRef Sadiq, H., Wong, B.M., Al-Mahaidi, R., Zhao, L.X.: The effects of heat treatment on the recovery stresses of shape memory alloys. Smart Mater. Struct. 19, 1–7 (2010)CrossRef
8.
Zurück zum Zitat Schlun, M., Zipse, A., Dreher, G., Rebelo, N.: Effects of cyclic loading on the uniaxial behavior of Nitinol. J. Mater. Eng. Perform. 20, 684–687 (2011)CrossRef Schlun, M., Zipse, A., Dreher, G., Rebelo, N.: Effects of cyclic loading on the uniaxial behavior of Nitinol. J. Mater. Eng. Perform. 20, 684–687 (2011)CrossRef
9.
Zurück zum Zitat Halani, R.P., Kaya, I., Shin, C.Y., Karaca, E.H.: Phase transformation characteristics and mechanical characterization of nitinol synthesized by laser direct deposition. Mater. Sci. Eng. A 559, 836–843 (2013)CrossRef Halani, R.P., Kaya, I., Shin, C.Y., Karaca, E.H.: Phase transformation characteristics and mechanical characterization of nitinol synthesized by laser direct deposition. Mater. Sci. Eng. A 559, 836–843 (2013)CrossRef
10.
Zurück zum Zitat Pelton, A., Dicello, J., Miyazaki, S.: Optimisation of processing and properties of medical grade Nitinol wire. Minim. Invasive Ther. Allied Technol. 9, 107–118 (2000)CrossRef Pelton, A., Dicello, J., Miyazaki, S.: Optimisation of processing and properties of medical grade Nitinol wire. Minim. Invasive Ther. Allied Technol. 9, 107–118 (2000)CrossRef
11.
Zurück zum Zitat Mckelvey, A., Ritchie, R.: Fatigue-crack growth behavior in the superelastic and shape-memory alloy Nitinol. Metall. Mater. Trans. A 32a, 731–743 (2001)CrossRef Mckelvey, A., Ritchie, R.: Fatigue-crack growth behavior in the superelastic and shape-memory alloy Nitinol. Metall. Mater. Trans. A 32a, 731–743 (2001)CrossRef
12.
Zurück zum Zitat McNaneyM, J., Imbeni, V., Jung, Y., Papadopoulos, P., Ritchie, R.O.: An experimental study of the superelastic effect in a shape-memory Nitinol alloy under biaxial loading. Mech. Mater. 35, 969–986 (2003)CrossRef McNaneyM, J., Imbeni, V., Jung, Y., Papadopoulos, P., Ritchie, R.O.: An experimental study of the superelastic effect in a shape-memory Nitinol alloy under biaxial loading. Mech. Mater. 35, 969–986 (2003)CrossRef
13.
Zurück zum Zitat Shishkovsky, I.: Hysteresis modeling of the porous Nitinol delivery system, designed and fabricated by SLS method. Phys. Procedia 39, 893–902 (2012)CrossRef Shishkovsky, I.: Hysteresis modeling of the porous Nitinol delivery system, designed and fabricated by SLS method. Phys. Procedia 39, 893–902 (2012)CrossRef
14.
Zurück zum Zitat Duerig, T., Pelton, A., Stockel, D.: An overview of Nitinol medical applications. Mater. Sci. Eng., A 273–275, 149–160 (1999)CrossRef Duerig, T., Pelton, A., Stockel, D.: An overview of Nitinol medical applications. Mater. Sci. Eng., A 273–275, 149–160 (1999)CrossRef
15.
Zurück zum Zitat Whitcher, F.D.: Simulation of in vivo loading conditions of Nitinol vascular stent structures. Comput. Struct. 64(5–6), 1005–1011 (1997)CrossRef Whitcher, F.D.: Simulation of in vivo loading conditions of Nitinol vascular stent structures. Comput. Struct. 64(5–6), 1005–1011 (1997)CrossRef
16.
Zurück zum Zitat Souza, A.C., Mamiya, E.N., Zouain, N.: Three-dimensional model for solids undergoing stress-induced phase transformations. Eur. J. Mech. A/Solids 17, 789–806 (1998)CrossRef Souza, A.C., Mamiya, E.N., Zouain, N.: Three-dimensional model for solids undergoing stress-induced phase transformations. Eur. J. Mech. A/Solids 17, 789–806 (1998)CrossRef
17.
Zurück zum Zitat Auricchio, F., Coda, A., Reali, A., Urbano, M.: SMA numerical modeling versus experimental results: parameter identification and model prediction capabilities. J. Mater. Eng. Perform. 18, 649–654 (2009)CrossRef Auricchio, F., Coda, A., Reali, A., Urbano, M.: SMA numerical modeling versus experimental results: parameter identification and model prediction capabilities. J. Mater. Eng. Perform. 18, 649–654 (2009)CrossRef
18.
Zurück zum Zitat Jung, Y., Papadopoulos, P., Ritchie, R.O.: Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape-memory alloys. Int. J. Numer. Meth. Eng. 60, 429–460 (2004)MathSciNetCrossRef Jung, Y., Papadopoulos, P., Ritchie, R.O.: Constitutive modelling and numerical simulation of multivariant phase transformation in superelastic shape-memory alloys. Int. J. Numer. Meth. Eng. 60, 429–460 (2004)MathSciNetCrossRef
19.
Zurück zum Zitat Crisfield, M.A.: Nonlinear Finite Element Analysis for Solids and Structures, vol. 1, pp. 166–181. Wiley, Hoboken (2000) Crisfield, M.A.: Nonlinear Finite Element Analysis for Solids and Structures, vol. 1, pp. 166–181. Wiley, Hoboken (2000)
20.
Zurück zum Zitat Crisfield, M.A.: Nonlinear Finite Element Analysis for Solids and Structures, vol. 2, pp. 158–167. Wiley, Hoboken (2000) Crisfield, M.A.: Nonlinear Finite Element Analysis for Solids and Structures, vol. 2, pp. 158–167. Wiley, Hoboken (2000)
21.
Zurück zum Zitat Yaguchi, M., Takahashi, Y.: A viscoplastic constitutive model incorporating dynamic strain aging effect during cyclic deformation conditions. Int. J. Plast. 16, 241–262 (2000)CrossRef Yaguchi, M., Takahashi, Y.: A viscoplastic constitutive model incorporating dynamic strain aging effect during cyclic deformation conditions. Int. J. Plast. 16, 241–262 (2000)CrossRef
22.
Zurück zum Zitat Naghdi, P.M.: Constitutive restrictions for idealized elastic-viscoplastic materials. J. Appl. Mech. 51, 93–101 (1984)CrossRef Naghdi, P.M.: Constitutive restrictions for idealized elastic-viscoplastic materials. J. Appl. Mech. 51, 93–101 (1984)CrossRef
23.
Zurück zum Zitat Kim, K.T., Cho, Y.H.: A temperature and strain rate dependent strain hardening law. Int. J. Press. Vessels Pip. 49, 327–337 (1992)CrossRef Kim, K.T., Cho, Y.H.: A temperature and strain rate dependent strain hardening law. Int. J. Press. Vessels Pip. 49, 327–337 (1992)CrossRef
24.
Zurück zum Zitat Dowell, M., Jarratt, P.: The “Pegasus” method for computing the root of an equation. BIT 12, 503–508 (1972)MathSciNetCrossRef Dowell, M., Jarratt, P.: The “Pegasus” method for computing the root of an equation. BIT 12, 503–508 (1972)MathSciNetCrossRef
Metadaten
Titel
Development and Finite Element Implementation of a Simple Constitutive Model to Address Superelasticity and Hysteresis of Nitinol
verfasst von
Siddhartha Patra
Sarmita Sinha
Abhijit Chanda
Copyright-Jahr
2019
DOI
https://doi.org/10.1007/978-3-319-96968-8_8

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