### Abstract

Using our local equilibrium model of the martensitic transformation [1] the elastic energy contributions, as the function of martensite volume fraction, ξ, in the phase transformation of single crystalline Cu-11.5wt%Al-5.0wt%Ni shape memory alloy were calculated from our measurements published earlier [2]. The derivative of the elastic energy δE/δξ=e (E is the total elastic energy stored/released during the austenite to martensite (A→M) as well as M→A transformation) could be calculated only irrespectively of the ΔST_{0} term (T_{0} is the equilibrium transformation temperature and ΔS is the entropy change of phase transformation). But, since ΔST_{0} is independent of ξ, the functions obtained reflect the ξ dependence of e as well as E quantities. From the DSC curves measured at zero uniaxial stress (σ = 0) [2], the ξ-T hysteric loop was constructed. Then the e(ξ) curves at fix σ as well as fix T were calculated. The E values obtained from the integral of e(ξ), fit well to the E(σ) as well as E(T) curves calculated from the strain-temperature and stresstemperature curves measured in [2].

Original language | English |
---|---|

Title of host publication | Materials Science Forum |

Pages | 37-42 |

Number of pages | 6 |

Volume | 729 |

DOIs | |

Publication status | Published - 2013 |

Event | 8th Hungarian Conference on Materials Science - Balatonkenese, Hungary Duration: Oct 9 2011 → Oct 11 2011 |

### Publication series

Name | Materials Science Forum |
---|---|

Volume | 729 |

ISSN (Print) | 02555476 |

### Other

Other | 8th Hungarian Conference on Materials Science |
---|---|

Country | Hungary |

City | Balatonkenese |

Period | 10/9/11 → 10/11/11 |

### Fingerprint

### Keywords

- Elastic energy
- Martensitic transformation
- Shape memory

### ASJC Scopus subject areas

- Materials Science(all)
- Condensed Matter Physics
- Mechanical Engineering
- Mechanics of Materials

### Cite this

*Materials Science Forum*(Vol. 729, pp. 37-42). (Materials Science Forum; Vol. 729). https://doi.org/10.4028/www.scientific.net/MSF.729.37

**Calculation of elastic energy contributions in single crystalline cu-11.5wt%Al-5.0wt%Ni shape memory alloy.** / Elrasasi, T. Y.; Daróczi, L.; Beke, D.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Materials Science Forum.*vol. 729, Materials Science Forum, vol. 729, pp. 37-42, 8th Hungarian Conference on Materials Science, Balatonkenese, Hungary, 10/9/11. https://doi.org/10.4028/www.scientific.net/MSF.729.37

}

TY - GEN

T1 - Calculation of elastic energy contributions in single crystalline cu-11.5wt%Al-5.0wt%Ni shape memory alloy

AU - Elrasasi, T. Y.

AU - Daróczi, L.

AU - Beke, D.

PY - 2013

Y1 - 2013

N2 - Using our local equilibrium model of the martensitic transformation [1] the elastic energy contributions, as the function of martensite volume fraction, ξ, in the phase transformation of single crystalline Cu-11.5wt%Al-5.0wt%Ni shape memory alloy were calculated from our measurements published earlier [2]. The derivative of the elastic energy δE/δξ=e (E is the total elastic energy stored/released during the austenite to martensite (A→M) as well as M→A transformation) could be calculated only irrespectively of the ΔST0 term (T0 is the equilibrium transformation temperature and ΔS is the entropy change of phase transformation). But, since ΔST0 is independent of ξ, the functions obtained reflect the ξ dependence of e as well as E quantities. From the DSC curves measured at zero uniaxial stress (σ = 0) [2], the ξ-T hysteric loop was constructed. Then the e(ξ) curves at fix σ as well as fix T were calculated. The E values obtained from the integral of e(ξ), fit well to the E(σ) as well as E(T) curves calculated from the strain-temperature and stresstemperature curves measured in [2].

AB - Using our local equilibrium model of the martensitic transformation [1] the elastic energy contributions, as the function of martensite volume fraction, ξ, in the phase transformation of single crystalline Cu-11.5wt%Al-5.0wt%Ni shape memory alloy were calculated from our measurements published earlier [2]. The derivative of the elastic energy δE/δξ=e (E is the total elastic energy stored/released during the austenite to martensite (A→M) as well as M→A transformation) could be calculated only irrespectively of the ΔST0 term (T0 is the equilibrium transformation temperature and ΔS is the entropy change of phase transformation). But, since ΔST0 is independent of ξ, the functions obtained reflect the ξ dependence of e as well as E quantities. From the DSC curves measured at zero uniaxial stress (σ = 0) [2], the ξ-T hysteric loop was constructed. Then the e(ξ) curves at fix σ as well as fix T were calculated. The E values obtained from the integral of e(ξ), fit well to the E(σ) as well as E(T) curves calculated from the strain-temperature and stresstemperature curves measured in [2].

KW - Elastic energy

KW - Martensitic transformation

KW - Shape memory

UR - http://www.scopus.com/inward/record.url?scp=84870762079&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870762079&partnerID=8YFLogxK

U2 - 10.4028/www.scientific.net/MSF.729.37

DO - 10.4028/www.scientific.net/MSF.729.37

M3 - Conference contribution

AN - SCOPUS:84870762079

SN - 9783037854914

VL - 729

T3 - Materials Science Forum

SP - 37

EP - 42

BT - Materials Science Forum

ER -