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
Permalink -

https://research.usq.edu.au/item/9x74y/theoretical-modelling-of-the-effect-of-plasticity-on-reverse-transformation-in-superelastic-shape-memory-alloys

Download files


Submitted Version
smea-yan.pdf
File access level: Anyone

  • 2048
    total views
  • 1404
    total downloads
  • 1
    views this month
  • 2
    downloads this month

Export as

Related outputs

Restricted assembly of ultralow loading of graphene oxide for lightweight, mechanically flexible and flame retardant polydimethylsiloxane foam composites
Guo, Bi-Fan, Wang, Peng-Huan, Cao, Cheng-Fei, Qu, Zhang-Hao, Lv, Ling-Yu, Zhang, Guo-Dong, Gong, Li-Xiu, Song, Pingan, Gao, Jie-Feng, Mai, Yiu-Wing and Tang, Long-Cheng. 2022. "Restricted assembly of ultralow loading of graphene oxide for lightweight, mechanically flexible and flame retardant polydimethylsiloxane foam composites." Composites Part B: Engineering. 247. https://doi.org/10.1016/j.compositesb.2022.110290
Epoxy nanocomposites simultaneously strengthened and toughened by hybridization with graphene oxide and block ionomer
Xu, Zhiguang, Song, Pingan, Zhang, Jin, Guo, Qipeng and Mai, Yiu-wing. 2018. "Epoxy nanocomposites simultaneously strengthened and toughened by hybridization with graphene oxide and block ionomer." Composites Science and Technology. 168, pp. 363-370. https://doi.org/10.1016/j.compscitech.2018.10.020
Numerical study on buckling of Z-pinned composite laminates
Yan, Wenyi, Liu, Hong-Yuan and Mai, Yiu-Wing. 2004. "Numerical study on buckling of Z-pinned composite laminates." Ye, L., Mai, Yiu-Wing and Su, Z. (ed.) 4th Asian-Australasian Conference on Composite Materials (ACCM 4). Sydney, Australia 06 - 09 Jul 2004 Cambridge, United Kingdom. https://doi.org/10.1016/B978-1-85573-831-7.50056-0
Investigation of a hydraulic impact: a technology in rock breaking
Genet, Martin, Yan, Wenyi and Tran-Cong, Thanh. 2009. "Investigation of a hydraulic impact: a technology in rock breaking." Archive of Applied Mechanics. 79 (9), pp. 825-841. https://doi.org/10.1007/s00419-008-0256-z
Z-pin bridging in composite laminates and some related problems
Liu, Hong-Yuan, Yan, Wenyi and Mai, Yiu-Wing. 2006. "Z-pin bridging in composite laminates and some related problems." Australian Journal of Mechanical Engineering. 3 (1), pp. 11-19.
Mechanics examination on the wear behaviour of shape memory alloys
Yan, Wenyi. 2005. "Mechanics examination on the wear behaviour of shape memory alloys." Xie, Mike, Mouritz, Adrian, Khatibi, Akbar Afaghi, Gardiner, Craig and Chiu, Wing Kong (ed.) 4th Australasian Congress on Applied Mechanics (ACAM 2005). Melbourne, Australia 16 - 18 Feb 2005 North Melbourne, Vic, Australia.
A micromechanics investigation of sliding wear in coated components
Yan, Wenyi, Busso, Esteban P. and O'Dowd, Noel P.. 2000. "A micromechanics investigation of sliding wear in coated components." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 456 (2002), pp. 2387-2407. https://doi.org/10.1098/rspa.2000.0617
Numerical study of sliding wear caused by a loaded pin on a rotating disc
Yan, Wenyi, O'Dowd, Noel P. and Busso, Esteban P.. 2002. "Numerical study of sliding wear caused by a loaded pin on a rotating disc." Journal of the Mechanics and Physics of Solids. 50 (3), pp. 449-470. https://doi.org/10.1016/S0022-5096(01)00093-X
Mode II delamination toughness of z-pinned laminates
Yan, Wenyi, Liu, Hong-Yuan and Mai, Yiu-Wing. 2004. "Mode II delamination toughness of z-pinned laminates." Composites Science and Technology. 64 (13-14), pp. 1937-1945. https://doi.org/10.1016/j.compscitech.2004.02.008
Numerical study on the mode I delamination toughness of z-pinned laminates
Yan, Wenyi, Liu, Hong-Yuan and Mai, Yiu-Wing. 2003. "Numerical study on the mode I delamination toughness of z-pinned laminates." Composites Science and Technology. 63 (10), pp. 1481-1493. https://doi.org/10.1016/S0266-3538(03)00167-2
Experimental study on z-pin bridging law by pullout test
Dai, Shao-Cong, Yan, Wenyi, Liu, Hong-Yuan and Mai, Yiu-Wing. 2004. "Experimental study on z-pin bridging law by pullout test." Composites Science and Technology. 64 (16), pp. 2451-2457. https://doi.org/10.1016/j.compscitech.2004.04.005