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

Yan, Wenyi and Wang, Chun Hui and 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, Microstructures and Processing , 354 (1-2). pp. 146-157. ISSN 0921-5093

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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.

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Item Type:	Article (Commonwealth Reporting Category C)
Refereed:	Yes
Item Status:	Live Archive
Additional Information:	© 2003 Elsevier Science B.V. All rights reserved. Author version deposited in accordance with the copyright policy of the publisher.
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Faculty/School / Institute/Centre:	Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering (Up to 30 Jun 2013)
Date Deposited:	11 Oct 2007 00:15
Last Modified:	30 Aug 2013 00:31
Uncontrolled Keywords:	phase transformations; plasticity; shape memory alloys; theory and modeling; constitutive equations
Fields of Research (2008):	09 Engineering > 0912 Materials Engineering > 091207 Metals and Alloy Materials 09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation 01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
Socio-Economic Objectives (2008):	E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
Identification Number or DOI:	https://doi.org/10.1016/S0921-5093(02)00941-3
URI:	http://eprints.usq.edu.au/id/eprint/125

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