Shear and tensile thermomechanical behavior of near equiatomic NiTi alloy

The industrial development of devices using the intriguing properties of shape memory alloys involves accurate prediction of their thermomechanical behavior. This may be achieved using Computer Aided Design together with Finite Element programs. Reliable constitutive laws are needed for the execution of such programs. Several tensorial constitutive laws have been proposed to model the unusual thermomechanical properties of shape memory alloys. However, for all these tensorial models, it is necessary to make assumptions which cannot be verified when only tensile property data are available. The purpose of this paper is to present a new set of experimental mechanical data, including tensile and simple shear tests performed on sheet samples of near equiatomic NiTi alloy. Both mechanical behaviors are compared for a large temperature range (from below Mf to above Af). It is shown that the von Mises assumptions usually made in the establishment of tensorial constitutive equations are not always valid. Other yield locus forms are proposed to model the typical tension and simple shear thermomechanical behavior of shape memory alloys.

[1]  M. Chandrasekaran,et al.  Thermoelastic martensitic transformation in β Cu-Zn-Al studied by density changes , 1988 .

[2]  The effects of pseudoelastic prestraining on the tensile behaviour and two-way shape memory effect in aged NiTi , 1989 .

[3]  K. Tanaka,et al.  Thermodynamic models of pseudoelastic behaviour of shape memory alloys , 1992 .

[4]  S. Nenno,et al.  Deformation behavior of shape memory TiNi alloy crystals , 1984 .

[5]  R. Lammering,et al.  Finite Element Analysis of the Behavior of Shape Memory Alloys and their Applications. , 1993 .

[6]  F. Falk Model free energy, mechanics, and thermodynamics of shape memory alloys , 1980 .

[7]  Shuichi Miyazaki,et al.  Effect of cyclic deformation on the pseudoelasticity characteristics of Ti-Ni alloys , 1986 .

[8]  Shuichi Miyazaki,et al.  Transformation pseudoelasticity and deformation behavior in a Ti-50.6at%Ni alloy , 1981 .

[9]  P. Manach Etude du comportement thermomécanique d'alliages à mémoire de forme NiTi , 1993 .

[10]  C. M. Wayman,et al.  Superelasticity effects and stress-induced martensitic transformations in CuAlNi alloys , 1976 .

[11]  Shigenori Kobayashi,et al.  Thermomechanics of Transformation Pseudoelasticity and Shape Memory Effect in Alloys , 1986 .

[12]  Shuichi Miyazaki,et al.  CHARACTERISTICS OF DEFORMATION AND TRANSFORMATION PSEUDOELASTICITY IN Ti-Ni ALLOYS , 1982 .

[13]  P. McCormick,et al.  Influence of Heat Treatment on the Mechanical Behaviour of a NiTi Alloy , 1989 .

[14]  I. Müller,et al.  A model for phase transition in pseudoelastic bodies , 1980 .

[15]  P. Manach,et al.  Origin of the two-way memory effect in NiTi shape memory alloys , 1993 .

[16]  Marcel Berveiller,et al.  Potentiel pseudoelastique et plasticite de transformation martensitique dans les monoet polycristaux metalliques , 1987 .

[17]  R. Sandström,et al.  PROPERTY DATABASE FOR THE DEVELOPMENT OF SHAPE MEMORY ALLOY APPLICATIONS , 1991 .

[18]  Poul V. Lade,et al.  Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces , 1977 .

[19]  Laurent Orgéas,et al.  Non-Symmetric Tension-Compression Behaviour of NiTi Alloy , 1995 .

[20]  Patrick Wollants,et al.  Thermally- and stress-induced thermoelastic martensitic transformations in the reference frame of equilibrium thermodynamics , 1993 .

[21]  D. Favier,et al.  Thermomechanics of Hysteresis Effects in Shape Memory Alloys , 1991 .

[22]  Jan Van Humbeeck,et al.  Simulation of transformation hysteresis , 1990 .

[23]  E. F. Rauch,et al.  Flow localization induced by a change in strain path in mild steel , 1989 .

[24]  Jordi Ortín PARTIAL HYSTERESIS CYCLES IN SHAPE-MEMORY ALLOYS : EXPERIMENTS AND MODELLING , 1991 .

[25]  Shuichi Miyazaki,et al.  Effect of thermal cycling on the transformation temperatures of TiNi alloys , 1986 .

[26]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[27]  F. Missell Magnetic anisotropy and coercivity in rare-earth transition metal alloys , 1996 .

[28]  P. McCormick,et al.  Shape memory behaviour associated with the R and martensitic transformations in a NiTi alloy , 1988 .

[29]  Steen Krenk,et al.  Family of Invariant Stress Surfaces , 1996 .