This paper deals with the design of Ni47Ti44Nb9 shape memory alloy (SMA) tightening components. The tightening of an SMA ring on an elastic pipe is analyzed using the finite element code ABAQUS® and a UMAT subroutine developed by the authors to model the specific behavior of Ni47Ti44Nb9 SMA. Main features of the thermomechanical model implemented in this UMAT routine are briefly recalled. Numerical predictions are validated using experimental tightening pressures obtained on a test bed developed in this work. The validation strategy is documented and the results for different ring thicknesses are presented. This finite element tool is then applied to a parametric study of the influence of ridges on the tightening pressure. Eventually, geometrical defects like out of roundness are considered.
ChemiskyYDuvalAPatoorEBen ZinebT. Constitutive model for shape memory alloys including phase transformation, martensitic reorientation and twins accommo-dation, Mechanics of Materials, Volume 43, Issue 7, July2011, Pages 361–376.
2.
ChemiskyYDuvalAPiotrowskiBBen ZinebTTahiriVPatoorE (2009). Numerical tool for SMA materials simulation—Application to composite structures design. Smart Materials and Structures1, 1–2.
3.
DelaFlorSUrbinaCFerrandoF (2006) Constitutive model of shape memory alloys: Theoretical formulation and experimental validation. Materials Science and Engineering A427, 112–122.
4.
HartlDJChatzigeorgiouGLagoudasD (2010) Three-dimensional modeling and numerical analysis of ratedependent irrecoverable deformation in shape memory alloys. International Journal of Plasticity26, 1485–1507.
5.
HeXMZhaoLZZhangSFDuoSWZhangRF (2006) Study of the thermal physical properties of Ti44Ni47Nb9 wide hysteresis shape memory alloys. Materials Science and Engineering A441, 167–169.
6.
KauffmanGBMayoI (1996) The story of nitinol: The serendipitous discovery of the memory metal and its applications. The Chemical Educator2, 1–21.
7.
LiuYMahmudAKursaweFNamTH (2006) Effect of pseudoelastic cycling on the Clausius–Clapeyron relation for stress-induced martensitic transformation in NiTi. Journal of Alloys and Compounds449, 82–87.
8.
MeltonKNProftJLDuerigTW (1989) Wide hysteresis shape memory alloys based on the NiTiNb system. In: The Martensitic Transformation in Science and Technology, Ed. HornbogenEJostN. (DGM Informationsgesellschaft) 191–198.
9.
MiyazakiSOhmiYOtsukaKSuzukiY (1982) Characteristics of deformation and transformation pseudoelasticity in Ti–Ni alloys. Journal de Physique44, C4–255.
10.
Nemat-NasserSGuoWG (2000) Flow stress of commercially pure niobium over a broad range of temperatures and strain rates. Materials Science and Engineering A284, 202–210.
11.
PeultierBBen ZinebTPatoorE (2006) Macroscopic constitutive law of shape memory alloy thermomechanical behaviour. Application to structure computation by FEM. Mechanics of Materials38, 510–524.
12.
PeultierBBen ZinebTPatoorE (2008) Macroscopic constitutive law for SMA: Application to structure analysis by FEM. Materials Science and Engineering A438–440, 454–458.
13.
PanicoMBrinsonLC (2007) A three-dimensional phenomenological model for martensite reorientation in shape memory alloys. Journal of the Mechanics and Physics of Solids55, 2491–2511.
14.
PiotrowskiB (2010) Analyse numérique et expérimentale du comportement d’un alliage á mémoire de forme avec précipités (Ni47Ti44Nb9): Application à la connectique. PhD thesis, Nancy University, Nancy, France.
15.
Saint-SulpiceLArbab ChiraniSCallochS (2009) A 3D super-elastic model for shape memory alloys taking into account progressive strain under cyclic loadings. Mechanics of Materials41, 12–26.
16.
SimoJCHughesTJR (2000) Computational Inelasticity. Springer-Verlag: New York, 1998.
17.
VidenicTKoselFPuksicABrojanM (2007) A phenomenological two-dimensional model of constrained recovery in shape memory alloy rings. Proceedings of the 2nd IASME/WSEAS International Conference on Continuum Mechanics (CM’07), Portoroz, Slovenia.
18.
VieilleBMichelJFBoubakarMLLexcellentC (2007) Validation of a 3D numerical model of shape memory alloys pseudoelasticity through tensile and bulging tests on CuAlBe sheets. International Journal of Mechanical Sciences49, 280–297.
19.
WangXXuBYeuZ (2008) Phase transformation behavior of pseudoelastic NiTi shape memory alloys under large strain. Journal of Alloys and Compounds463,417–422.
20.
WilkinsML (1964) Calculation of elastic-plastic flow. In: AlderBFernbachSRotenbergM (eds.) Methods of Computational Physics. New York: Academic Press, 211–263.
21.
XiaoFMaGZhaoXXuHJiangHRongL (2007). A novel TiNiNb shape memory alloy with high yield strength and high damping capacity. International Conference on Smart Materials and Nanotechnology in EngineeringVOL 6423; PART 2, pages 6423 2L.
22.
ZakiWMoumniZ (2007) A three-dimensional model of the thermomechanical behavior of shape memory alloys. Journal of the Mechanics and Physics of Solids55, 2455–2490.
23.
ZhangCSWangYQChaiWZhaoLC (1991) The study of constitutional phases in a Ni47Ti44Nb9 shape memory alloy. Materials Chemistry and Physics28, 43–50.
