Stress dependence of the hysteresis in single crystal NiTi alloys

Abstract We demonstrate the variation in thermal hysteresis with increasing external stress for reversible martensitic transformations. The hysteresis was measured in temperature cycling experiments under external stress and also under pseudoleastic deformation conditions. To understand the role of composition and crystal orientation effects, the study included aged and solutionized Ti–50.1, Ti–50.4, Ti–50.8 and Ti–51.5at.%Ni in the [1 1 1], [0 0 1], [0 1 1], [0 1 2], and [1 2 3] orientations. Differential scanning calorimetry was used to characterize the thermal hysteresis resulting from thermal cycling under zero stress. The results show unequivocally that the thermal hysteresis expands with increasing external stress for aged and solutionized Ti–50.1at.%Ni and Ti–50.4at.%Ni alloys, while it contracts with increasing external stress for the higher Ni alloys with 50.8 and 51.5at.%Ni compositions. The growth of temperature hysteresis was from 20 °C to as high as 80 °C for the lower Ni alloys, while the contraction of the hysteresis was from 60 to 15 °C for the higher Ni alloys. The stress dependence of the hysteresis is rationalized considering dissipation of elastic strain energy due to relaxation of coherency strains at martensite–austenite interfaces. The role of precipitates and frictional work on transformation hysteresis is also clarified based on experiments on low and high Ni alloys with heterogeneous and homogenous precipitate structures respectively. A micro-mechanical model based on reversible thermodynamics was modified to account for plastic relaxation of coherent transforming interfaces, and the predictions account for the growing hysteresis with increasing external stress.

[1]  Yinong Liu,et al.  Thermodynamic analysis of the martensitic transformation in NiTi—I. Effect of heat treatment on transformation behaviour , 1994 .

[2]  Erhard Hornbogen,et al.  The effect of variables on martensitic transformation temperatures , 1985 .

[3]  L. E. Kozlova,et al.  Temperature hysteresis of martensite transformation in aging Cu-Mn-Al alloy , 2002 .

[4]  Qingping Sun,et al.  Micromechanics modelling for the constitutive behavior of polycrystalline shape memory alloys. I: Derivation of general relations , 1993 .

[5]  Jordi Ortín,et al.  Thermodynamic analysis of thermal measurements in thermoelastic martensitic transformations , 1988 .

[6]  H. Maier,et al.  Detwinning in NiTi alloys , 2003 .

[7]  G. B. Olson,et al.  Thermoelastic behavior in martensitic transformations , 1975 .

[8]  Ken Gall,et al.  The role of texture in tension–compression asymmetry in polycrystalline NiTi , 1999 .

[9]  The nature of martensitic transformations , 1979 .

[10]  S. Miyazaki,et al.  Thermodynamic modeling of the recovery strains of sputter-deposited shape memory alloys Ti–Ni and Ti–Ni–Cu thin films , 2000 .

[11]  J. Brooks,et al.  A new Bcc-Fcc orientation relationship observed between ferrite and austenite in solidification structures of steels , 2002 .

[12]  Gunther Eggeler,et al.  Ni4Ti3-precipitation during aging of NiTi shape memory alloys and its influence on martensitic phase transformations , 2002 .

[13]  Morris Cohen,et al.  On the thermodynamics of thermoelastic martensitic transformations , 1979 .

[14]  Ken Gall,et al.  Compressive response of NiTi single crystals , 2000, Acta Materialia.

[15]  S. Miyazaki,et al.  Effect of Plastic Strain on Shape Memory Characteristics in Sputter-Deposited Ti-Ni Thin Films , 1995 .

[16]  A. Planes,et al.  THERMODYNAMICS AND HYSTERESIS BEHAVIOUR OF THERMOELASTIC MARTENSITIC TRANSFORMATIONS , 1991 .

[17]  Yong Liu,et al.  Criteria for pseudoelasticity in near-equiatomic NiTi shape memory alloys , 1997 .

[18]  E. Patoor,et al.  Determination of the interaction energy in the martensitic state , 2002 .

[19]  M. Ashby,et al.  On the generation of dislocations at misfitting particles in a ductile matrix , 1969 .

[20]  Miinshiou Huang,et al.  A Multivariant model for single crystal shape memory alloy behavior , 1998 .

[21]  Jordi Ortín,et al.  Hysteretic transformation behaviour of shape memory alloys , 1988 .

[22]  J. K. Lee,et al.  A dislocation model for the plastic relaxation of the transformation strain energy of a misfitting spherical particle , 1983 .

[23]  Etienne Patoor,et al.  Micromechanical Modelling of Superelasticity in Shape Memory Alloys , 1996 .

[24]  Dimitris C. Lagoudas,et al.  Thermomechanical modeling of polycrystalline SMAs under cyclic loading, Part I: theoretical derivations , 1999 .

[25]  H. Maier,et al.  Shape memory and pseudoelastic behavior of 51.5%Ni-Ti single crystals in solutionized and overaged state , 2001 .