Determination of the equilibrium transformation temperature (T0) and analysis of the non-chemical energy terms in a CuAlNi single crystalline shape memory alloy

Z. Palánki, L. Daróczi, C. Lexcellent, D. Beke

Research output: Article

10 Citations (Scopus)

Abstract

A method for the determination of the equilibrium transformation temperature (T0) in CuAlNi single crystalline alloys, by traditional uniform heating and cooling of the specimen under constant uniaxial applied stress, σ, is presented and the T0(σ) functions are constructed. Above a certain stress level the phase transformations, even in a multiple interface mode, can be driven in such a way that the thermal hysteresis loops have a rectangular part, from which T0 can be determined via the well-known relation: T0 = (Ms + Af)/2, where Ms and Af are the martensite start and austenite finish temperatures, respectively. At low stress values the heating up branch of the hysteresis is different; it starts with a vertical part showing that the beginning of the austenite formation is free of the release of the elastic energy (this takes place only in the second part of this branch). Here the T0 temperature can be determined as the arithmetic mean of Ms and the austenite start temperature, As. Using the experimentally determined stress dependence of the transformation strain, the T0 vs. σ function was also constructed from the Clausius-Clapeyron relation and this curve fitted very well to the points obtained from the above relationships at high and low stress levels, respectively. The stress dependence of the non-chemical energy contributions to the phase transformation are also determined. It is shown that integrals of the differential values (the derivatives of the energy contributions by the transformed fraction) give self-consistent results with the (integral) quantities directly measured in differential scanning calorimetry (DSC) experiments or obtained from the area of the hysteresis loops.

Original languageEnglish
Pages (from-to)1823-1830
Number of pages8
JournalActa Materialia
Volume55
Issue number5
DOIs
Publication statusPublished - márc. 2007

Fingerprint

Shape memory effect
Crystalline materials
Austenite
Hysteresis loops
Temperature
Phase transitions
Heating
Martensite
Hysteresis
Differential scanning calorimetry
Cooling
Derivatives
Experiments

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Materials Science(all)
  • Metals and Alloys

Cite this

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title = "Determination of the equilibrium transformation temperature (T0) and analysis of the non-chemical energy terms in a CuAlNi single crystalline shape memory alloy",
abstract = "A method for the determination of the equilibrium transformation temperature (T0) in CuAlNi single crystalline alloys, by traditional uniform heating and cooling of the specimen under constant uniaxial applied stress, σ, is presented and the T0(σ) functions are constructed. Above a certain stress level the phase transformations, even in a multiple interface mode, can be driven in such a way that the thermal hysteresis loops have a rectangular part, from which T0 can be determined via the well-known relation: T0 = (Ms + Af)/2, where Ms and Af are the martensite start and austenite finish temperatures, respectively. At low stress values the heating up branch of the hysteresis is different; it starts with a vertical part showing that the beginning of the austenite formation is free of the release of the elastic energy (this takes place only in the second part of this branch). Here the T0 temperature can be determined as the arithmetic mean of Ms and the austenite start temperature, As. Using the experimentally determined stress dependence of the transformation strain, the T0 vs. σ function was also constructed from the Clausius-Clapeyron relation and this curve fitted very well to the points obtained from the above relationships at high and low stress levels, respectively. The stress dependence of the non-chemical energy contributions to the phase transformation are also determined. It is shown that integrals of the differential values (the derivatives of the energy contributions by the transformed fraction) give self-consistent results with the (integral) quantities directly measured in differential scanning calorimetry (DSC) experiments or obtained from the area of the hysteresis loops.",
keywords = "Martensitic phase transformation, Shape memory alloys, Thermodynamics, Thermomechanical processing",
author = "Z. Pal{\'a}nki and L. Dar{\'o}czi and C. Lexcellent and D. Beke",
year = "2007",
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language = "English",
volume = "55",
pages = "1823--1830",
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TY - JOUR

T1 - Determination of the equilibrium transformation temperature (T0) and analysis of the non-chemical energy terms in a CuAlNi single crystalline shape memory alloy

AU - Palánki, Z.

AU - Daróczi, L.

AU - Lexcellent, C.

AU - Beke, D.

PY - 2007/3

Y1 - 2007/3

N2 - A method for the determination of the equilibrium transformation temperature (T0) in CuAlNi single crystalline alloys, by traditional uniform heating and cooling of the specimen under constant uniaxial applied stress, σ, is presented and the T0(σ) functions are constructed. Above a certain stress level the phase transformations, even in a multiple interface mode, can be driven in such a way that the thermal hysteresis loops have a rectangular part, from which T0 can be determined via the well-known relation: T0 = (Ms + Af)/2, where Ms and Af are the martensite start and austenite finish temperatures, respectively. At low stress values the heating up branch of the hysteresis is different; it starts with a vertical part showing that the beginning of the austenite formation is free of the release of the elastic energy (this takes place only in the second part of this branch). Here the T0 temperature can be determined as the arithmetic mean of Ms and the austenite start temperature, As. Using the experimentally determined stress dependence of the transformation strain, the T0 vs. σ function was also constructed from the Clausius-Clapeyron relation and this curve fitted very well to the points obtained from the above relationships at high and low stress levels, respectively. The stress dependence of the non-chemical energy contributions to the phase transformation are also determined. It is shown that integrals of the differential values (the derivatives of the energy contributions by the transformed fraction) give self-consistent results with the (integral) quantities directly measured in differential scanning calorimetry (DSC) experiments or obtained from the area of the hysteresis loops.

AB - A method for the determination of the equilibrium transformation temperature (T0) in CuAlNi single crystalline alloys, by traditional uniform heating and cooling of the specimen under constant uniaxial applied stress, σ, is presented and the T0(σ) functions are constructed. Above a certain stress level the phase transformations, even in a multiple interface mode, can be driven in such a way that the thermal hysteresis loops have a rectangular part, from which T0 can be determined via the well-known relation: T0 = (Ms + Af)/2, where Ms and Af are the martensite start and austenite finish temperatures, respectively. At low stress values the heating up branch of the hysteresis is different; it starts with a vertical part showing that the beginning of the austenite formation is free of the release of the elastic energy (this takes place only in the second part of this branch). Here the T0 temperature can be determined as the arithmetic mean of Ms and the austenite start temperature, As. Using the experimentally determined stress dependence of the transformation strain, the T0 vs. σ function was also constructed from the Clausius-Clapeyron relation and this curve fitted very well to the points obtained from the above relationships at high and low stress levels, respectively. The stress dependence of the non-chemical energy contributions to the phase transformation are also determined. It is shown that integrals of the differential values (the derivatives of the energy contributions by the transformed fraction) give self-consistent results with the (integral) quantities directly measured in differential scanning calorimetry (DSC) experiments or obtained from the area of the hysteresis loops.

KW - Martensitic phase transformation

KW - Shape memory alloys

KW - Thermodynamics

KW - Thermomechanical processing

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JO - Acta Materialia

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