Theoretical modelling of the effect of plasticity on reverse transformation in superelastic shape memory alloys

Article


Yan, Wenyi, Wang, Chun Hui, Zhang, Xin Ping and Mai, Yiu-Wing. 2003. "Theoretical modelling of the effect of plasticity on reverse transformation in superelastic shape memory alloys." Materials Science and Engineering A: Structural Materials: Properties, Microstructure and Processing. 354 (1-2), pp. 146-157. https://doi.org/10.1016/S0921-5093(02)00941-3
Article Title

Theoretical modelling of the effect of plasticity on reverse transformation in superelastic shape memory alloys

ERA Journal ID4973
Article CategoryArticle
AuthorsYan, Wenyi (Author), Wang, Chun Hui (Author), Zhang, Xin Ping (Author) and Mai, Yiu-Wing (Author)
Journal TitleMaterials Science and Engineering A: Structural Materials: Properties, Microstructure and Processing
Journal Citation354 (1-2), pp. 146-157
Number of Pages12
Year2003
Place of PublicationLausanne, Switzerland
ISSN0921-5093
1873-4936
Digital Object Identifier (DOI)https://doi.org/10.1016/S0921-5093(02)00941-3
Abstract

Stimulated by recent experimental results on superelastic NiTi shape memory alloy, a theoretical study is carried out to quantify the effect of plasticity on stress-induced martensite transformation, using a constitutive model that combines phase transformation and plasticity. A constraint equation is introduced to quantify the phenomenon of the stabilization of plasticity on stress-induced martensite. The stabilized martensite volume fraction is determined by the equivalent plastic strain. The transformation constitutive model is adopted from a generalized plastic model with Drucker-Prager type phase transformation functions, which are pressure sensitive, while the plasticity is described by the von Mises isotropic hardening model. The martensite volume fraction is chosen as the internal variable to represent the transformation state and it is determined by the consistency transformation condition. An approach to calibrate model parameters from uniaxial tensile tests is explored, as well as the issue of elastic mismatch between austenite and martensite is discussed. Based on the proposed constitutive model, the influence of hydrostatic stress on transformation is examined. As an example of application, this new constitutive model is employed to numerically study the transformation field and the plastic deformation field near a crack tip.

Keywordsphase transformations; plasticity; shape memory alloys; theory and modeling; constitutive equations
ANZSRC Field of Research 2020401607. Metals and alloy materials
401706. Numerical modelling and mechanical characterisation
490109. Theoretical and applied mechanics
Public Notes

© 2003 Elsevier Science B.V. All rights reserved. Author version deposited in accordance with the copyright policy of the publisher.

Byline AffiliationsUniversity of Sydney
Department of Defence, Australia
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