Abstract
A simple yet reasonably accurate constitutive model of shape memory alloys (SMAs) has been developed. It can treat more than three phases or/and variants and duplicate their rate-dependent deformation behavior quantitatively. This model was applied to damping enhancement analysis. Damping oscillations of cantilever beams with various SMA foils bonded on their both surfaces were simulated numerically. It was seen that bonding SMA foils is effective for the damping enhancement in some cases. Furthermore, it was found that adequate mechanical or/and thermal treatment for SMA foils improves the damping performance.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Barbarino S, Saavedra Flores EI, Ajaj RM, Dayyani I, Friswell MI (2014) A review on shape memory alloys with applications to morphing aircraft. Smart Mater Struct 23(6):063001 (19 pp)
Bertram A (1982) Thermo-mechanical constitutive equations for the description of shape memory effects in alloys. Nucl Eng Des 74(2):173–182
Boller C, Konstanzer P, Matsuzaki Y, Ikeda T (2001) Damping with shape memory alloys for structural systems. In: Proceedings of eleventh international conference on adaptive structures and technologies, pp 336–343
Boyd JG, Lagoudas DC (1996) A thermodynamical constitutive model for shape memory materials. Part I. The monolithic shape memory alloy. Int J Plast 12(6):805–842
Brinson LC (1993) One-dimensional constitutive behavior of shape memory alloys: thermomechanical derivation with non-constant material functions and redefined martensite internal variable. J Intell Mater Syst Struct 4(2):229–242
Falk F (1983) One-dimensional model of shape memory alloys. Arch Mech 35(1):63–84
Gall K, Sehitoglu H (1999) The role of texture in tension-compression asymmetry in polycrystalline NiTi. Int J Plast 15(1):69–92
Gandhi F, Chapuis G (2011) Passive damping augmentation of a vibrating beam using pseudoelastic shape memory alloy wires. In: Proceedings of eleventh international conference on adaptive structures and technologies, pp 319–335
Graesser EJ, Cozzarelli FA (1991) Shape-memory alloys as new materials for aseismic isolation. J Eng Mech 117(11):2590–2608
Ikeda T (2005) Modeling of ferroelastic behavior of shape memory alloys. Proc SPIE 5757:344–352
Ikeda T (2006) Application of one-dimensional phase transformation model to tensile-torsional pseudoelastic behavior of shape memory alloy tubes. Proc SPIE 6166:61660Z (8 pp)
Ikeda T (2008) Constitutive model of shape memory alloys for asymmetric quasiplastic behavior. J Intell Mater Syst Struct 19(5):533–540
Ikeda T, Nae FA, Naito H, Matsuzaki Y (2004a) Constitutive model of shape memory alloys for unidirectional loading considering inner hysteresis loops. Smart Mater Struct 13(4):916–925
Ikeda T, Hattori H, Matsuzaki Y (2004) Numerical analysis of damping enhancement of a beam with shape memory alloy foils bonded. In: Proceedings of ICAS 2004, ICAS 2004-5.2.1 (8 pp)
Ivshin Y, Pence TJ (1994) A thermomechanical model for a one variant shape memory material. J Intell Mater Syst Struct 5(4):455–473
Kamita T, Matsuzaki Y (1998) One-dimensional pseudoelastic theory of shape memory alloys. Smart Mater Struct 7(4):489–495
Leclercq S, Lexcellent C (1996) A general macroscopic description of the thermomechanical behavior of shape memory alloys. J Mech Phys Solids 44(6):953–980
Liang C, Rogers CA (1990) One-dimensional thermomechanical constitutive relations for shape memory materials. J Intell Mater Syst Struct 1(2):207–234
Machado LG, Lagoudas DC (2008) Thermomechanical constitutive modeling of SMAs, shape memory alloys—modeling and engineering applications. In: Lagoudas DC (ed) Springer Science+Business Media, LLC, New York, pp 121–187
Matsuzaki Y, Naito H, Ikeda T, Funami K (2001) Thermo-mechanical behavior associated with pseudoelastic transformation of shape memory alloys. Smart Mater Struct 10(5):884–892
Müller I (1989) On the size of the hysteresis in pseudoelasticity. Continuum Mech Thermodyn 1(2):125–142
Nae FA, Matsuzaki Y, Ikeda T (2003) Micromechanical modeling of polycrystalline shape-memory alloys including thermo-mechanical coupling. Smart Mater Struct 12(1):6–17
Ortín J (1992) Preisach modeling of hysteresis for a pseudoelastic Cu-Zn-Al single crystal. J Appl Phys 71(3):1454–1461
Otsuka K, Ren X (2005) Physical metallurgy of Ti-Ni-based shape memory alloy. Prog Mater Sci 50(5):511–678
Otsuka K, Wayman CM (eds) (1998) Shape memory materials. Cambridge University Press, Cambridge
Patoor E, Eberhardt A, Berveiller M (1995) Micromechanical modelling of the superelastic behavior. Journal de Physique IV 5-C2, C-2-501-C2-506
Raniecki B, Lexcellent CH, Tanaka K (1992) Thermodynamic models of pseudoelastic behavior of shape memory alloys. Arch Mech 44(3):261–284
Seelecke S (1996) Equilibrium thermodynamics of pseudoelasticity and quasiplasticity. Continuum Mech Thermodyn 8(5):309–322
Sun QP, Hwang KC (1993) Micromechanics modelling for the constitutive behavior of polycrystaline shape memory alloys—I. Derivation of general relations. J Mech Phys Solids 41(1):1–17
Tanaka K (1986) A thermomechanical sketch of shape memory effect: one-dimensional tensile behavior. Res Mechanica 18(3):251–263
Thomson P, Balas GJ, Leo PH (1995) The use of shape memory alloys for passive structural damping. Smart Mater Struct 4(1):36–42
Tobushi H, Matsui R, Takeda K, Pieczyska EA (2013) Material properties of shape memory materials. Nova Science Publication, New York
Yamauchi K, Ohkata I, Tsuchiya K, Miyazaki S (eds) (2011) Shape memory and superelastic alloys: applications and technologies. Woodhead Publishing Limited, Oxford, Cambridge, Philadelphia, New Delhi
Acknowledgements
The author would like to thank Mr. Yoshitaka Hata and Mr. Hidetaka Hattori for their support in experiment and calculation.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this chapter
Cite this chapter
Ikeda, T. (2017). One-Dimensional Phase Transformation Model and Its Application to Damping Enhancement Analysis. In: Sun, Q., Matsui, R., Takeda, K., Pieczyska, E. (eds) Advances in Shape Memory Materials. Advanced Structured Materials, vol 73. Springer, Cham. https://doi.org/10.1007/978-3-319-53306-3_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-53306-3_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-53305-6
Online ISBN: 978-3-319-53306-3
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)