Two-way shape memory effect of a Ti rich NiTi alloy: experimental measurements and numerical simulations

In this paper the two-way shape memory effect (TWSME) of a Ni?51?at.% Ti alloy is investigated and a numerical model is developed, which allows real time simulations of its hysteretic behaviour strain versus temperature. The two-way shape memory effect (TWSME) was induced through a proper thermo-mechanical training, carried out at an increasing number of training cycles and for two values of training deformation. The TWSME was measured under different applied stresses and the hysteretic behaviour in the strain?temperature response was recorded. In order to evaluate the thermal stability of the hysteresis loops the material was subjected to many cycles, by repeated heating and cooling, between Af (austenite finish temperature) and Mf (martensite finish temperature). The numerical method is based on a phenomenological approach and was developed in a Matlab? function, which calculates the model parameters from a set of experimental data, and a Simulink? model, which is efficient enough for use in real time applications. The accuracy of the proposed model was analysed through systematic comparisons between experimental measurements and numerical predictions.

[1]  M. Schwartz.  Encyclopedia of smart materials , 2002 .

[2]  Musa Jouaneh,et al.  Generalized preisach model for hysteresis nonlinearity of piezoceramic actuators , 1997 .

[3]  Yinong Liu.  Mechanical stabilisation of martensite due to cold deformation , 1999 .

[4]  Kyu-Jin Cho,et al.  Segmented shape memory alloy actuators using hysteresis loop control , 2006 .

[5]  Craig A. Rogers,et al.  One-Dimensional Thermomechanical Constitutive Relations for Shape Memory Materials , 1990 .

[6]  X. Ren,et al.  Physical metallurgy of Ti–Ni-based shape memory alloys , 2005 .

[7]  Dimitris C. Lagoudas,et al.  Thermomechanical characterization of NiTiCu and NiTi SMA actuators: influence of plastic strains , 2000 .

[8]  T. Pence,et al.  Shape memory alloys: modeling , 2002 .

[9]  A. Tuissi,et al.  Effect of Nd-YAG laser welding on the functional properties of the Ni–49.6at.%Ti , 1999 .

[10]  Yinong Liu,et al.  Two-way shape memory effect developed by martensite deformation in NiTi , 1998 .

[11]  F. Auricchio,et al.  A three‐dimensional model describing stress‐temperature induced solid phase transformations: solution algorithm and boundary value problems , 2004 .

[12]  Werner Theisen,et al.  Electro discharge machining of nickel–titanium shape memory alloys , 2004 .

[13]  Klaus Kuhnen,et al.  Modeling, Identification and Compensation of Complex Hysteretic Nonlinearities: A Modified Prandtl - Ishlinskii Approach , 2003, Eur. J. Control.

[14]  M. Wu,et al.  Fabrication of Nitinol Materials and Components , 2002 .

[15]  Hongyan Luo,et al.  The influence of loading during cold shape formation on the amount of shape recovery in NiTi alloys , 2006 .

[16]  L. Brinson.  One-Dimensional Constitutive Behavior of Shape Memory Alloys: Thermomechanical Derivation with Non-Constant Material Functions and Redefined Martensite Internal Variable , 1993 .

[17]  Yufeng Zheng,et al.  Two-way shape memory effect of a TiNiHf high temperature shape memory alloy , 2004 .

[18]  Carmine Maletta,et al.  Laser welding of a NiTi alloy: Mechanical and shape memory behaviour , 2005 .

[19]  K. Kuhnen,et al.  Inverse control of systems with hysteresis and creep , 2001 .

[20]  Sonia Marfia,et al.  Superelastic and Shape Memory Effects in Laminated Shape-Memory-Alloy Beams , 2003 .

[21]  Kiyohide Wada,et al.  Shape recovery of NiTi shape memory alloy under various pre-strain and constraint conditions , 2005 .

[22]  C. Maletta,et al.  Functional behaviour of a NiTi-welded joint: Two-way shape memory effect , 2008 .