Microscale phase field modeling of the martensitic transformation during cyclic loading of NiTi single crystal

dc.contributor.author Esfahani, S. Ehsan
dc.contributor.author Ghamarian, Iman
dc.contributor.author Collins, Peter
dc.contributor.author Levitas, Valery
dc.contributor.department Aerospace Engineering
dc.contributor.department Ames National Laboratory
dc.contributor.department Mechanical Engineering
dc.contributor.department Materials Science and Engineering
dc.date 2018-04-07T02:06:38.000
dc.date.accessioned 2020-06-29T22:45:22Z
dc.date.available 2020-06-29T22:45:22Z
dc.date.copyright Mon Jan 01 00:00:00 UTC 2018
dc.date.embargo 2019-03-20
dc.date.issued 2018-01-01
dc.description.abstract <p>A microscale phase field model developed in Levitas et al. (2004) and Idesman et al. (2005) is slightly advanced for different and anisotropic elastic moduli of phases and is employed for the study of the stress-induced cubic-monoclinic phase transition in NiTi single crystal involving all 12 martensitic variants. The model is scale-independent, without the gradient term, and it is applicable for any scale greater than 100 nm. This model includes strain softening and the corresponding transformation strain localization, and it reproduces a discrete martensitic microstructure. The model only tracks finite-width interfaces between austenite and the mixture of martensitic variants, and does not consider the interfaces between martensitic variants. The model is implemented as a UMAT subroutine in a commercial finite element (FE) package, ABAQUS. Multiple problems for a uniaxial cyclic loading are solved to study the effect of mesh, strain rate, crystal orientation, different numbers of pre-existing nuclei, and the magnitude of the athermal threshold on the stress-strain responses as well as the microstructure evolution. The obtained results exhibit that the microstructure and global stress-strain responses are practically independent of mesh discretization and the applied strain rate for relatively small strain rates. While the presence of the initial nuclei in the sample decreases the nucleation stress, it slightly increases the total energy dissipation. The observed microstructure, the sudden drop in the stress-strain curve after initiation of the martensitic transformation, and the absence of a similar jump for the reverse phase transformation are in qualitative agreement with known experiments. Changing the crystallographic orientation of the sample varies the entire behavior, namely, the variants which are involved in the phase transformation, the morphology of the associated microstructure, the stress-strain curve, and the total dissipation. Athermal threshold, in addition to the expected increase in the magnitude of hysteresis, leads to some strain hardening for the direct phase transformation.</p>
dc.description.comments <p>This is a manuscript of an article published as Esfahani, S. Ehsan, Iman Ghamarian, Valery I. Levitas, and Peter C. Collins. "Microscale Phase Field Modeling of the Martensitic Transformation During Cyclic Loading of NiTi Single Crystal." <em>International Journal of Solids and Structures </em>(2018). DOI: <a href="http://dx.doi.org/10.1016/j.ijsolstr.2018.03.022" target="_blank">10.1016/j.ijsolstr.2018.03.022</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/aere_pubs/119/
dc.identifier.articleid 1120
dc.identifier.contextkey 11916974
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath aere_pubs/119
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/1962
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/aere_pubs/119/2018_Levitas_MicroscalePhase.pdf|||Fri Jan 14 19:01:05 UTC 2022
dc.source.uri 10.1016/j.ijsolstr.2018.03.022
dc.subject.disciplines Aerospace Engineering
dc.subject.disciplines Materials Science and Engineering
dc.subject.disciplines Structural Materials
dc.subject.disciplines Structures and Materials
dc.subject.keywords Martensitic phase transition
dc.subject.keywords NiTi
dc.subject.keywords Strain softening
dc.subject.keywords Microstructure
dc.title Microscale phase field modeling of the martensitic transformation during cyclic loading of NiTi single crystal
dc.type article
dc.type.genre article
dspace.entity.type Publication
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