On relations between the transformation temperatures, stresses, pressures and magnetic fields in shape memory alloys

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

It is shown that in the austenite to martensite transformation of shape memory alloys the transformation strain, εtr, and the change in magnetization, ΔM, usually has definite field dependence while the change in entropy or volume can be considered constant. Under uniaxial loading the field dependence of εtr and ΔM is related to the change of the variant/domain distribution with increasing field parameters. For the description of this, the volume fraction of the stress induced (single) variant martensite structure, η, is used. Expressions for the elastic and dissipative energy contributions to the start and finish temperatures and stresses as well as for relationships between these terms obtained. The stress dependence of the elastic and dissipative energy contributions is correlated with the η dependence of εtr. It is also shown that the well known linear relation between the temperature and the critical stress (magnetic field) necessary to induce martensite formation is simply and plausibly obtained from our formalism. This form of the Clausius-Clapeyron relation is more linear as compared to the one giving the field dependence of the equilibrium transformation temperature, because in the latter the field (or η) dependence of εtr or ΔM directly appears, while in the former one e.g. only the saturation value of εtr has to be used which corresponds to a well defined single variant martensite structure.

Original languageEnglish
Title of host publicationSMST-2007 - Proceedings of the International Conference on Shape Memory and Superelastic Technologies
Pages583-590
Number of pages8
DOIs
Publication statusPublished - Dec 1 2008
EventInternational Conference on Shape Memory and Superelastic Technologies, SMST-2007 - Tsukuba, Japan
Duration: Dec 2 2007Dec 5 2007

Publication series

NameSMST-2007 - Proceedings of the International Conference on Shape Memory and Superelastic Technologies

Other

OtherInternational Conference on Shape Memory and Superelastic Technologies, SMST-2007
CountryJapan
CityTsukuba
Period12/2/0712/5/07

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Keywords

  • Clausius-Clapeyron relation
  • Shape memory
  • Stresses and magnetic fields
  • Transformation temperatures

ASJC Scopus subject areas

  • Mechanics of Materials

Cite this

Beke, D. L., Daróczi, L., Palánki, Z., & Lexcellent, C. (2008). On relations between the transformation temperatures, stresses, pressures and magnetic fields in shape memory alloys. In SMST-2007 - Proceedings of the International Conference on Shape Memory and Superelastic Technologies (pp. 583-590). (SMST-2007 - Proceedings of the International Conference on Shape Memory and Superelastic Technologies). https://doi.org/10.1361/cp2007smst583