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A unified constitutive model of phase transformations and rearrangements of shape memory alloy wires subjected to quasistatic load

Hisashi Naito1, Yuji Matsuzaki2 and Tadashige Ikeda

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In our previous studies, we proposed a lumped-parameter quasistatic model for martensitic transformations of shape memory alloys, by introducing a general function of the dissipation potential for the irreversible process, called the phase interaction energy function. It has been proved that a thermodynamic analysis coupled with the quasistatic model may predict well pseudoelastic behaviors of shape memory alloy wires subjected to cyclic loadings up to 1 Hz. In the present analysis, therefore, using the phase interaction energy function, we propose a unified quasistatic thermomechanical model for phase rearrangements and transformations associated with austenitic, martensitic and rhombohedral phases. A numerical analysis is carried out to compare with available quasistatic experimental results on the shape memory effect and pseudoelasticity associated with the three crystal phases and to confirm the effectiveness of the unified approach based on the phase interaction energy function.


PACS

46.70.-p Application of continuum mechanics to structures

81.30.Kf Martensitic transformations

64.70.K- Solid–solid transitions

Subjects

Condensed matter: structural, mechanical & thermal

Dates

Issue 3 (June 2004)

Received 12 November 2002, in final form 11 December 2003

Published 19 April 2004



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