A phase field approach with a reaction pathways-based potential to model reconstructive martensitic transformations with a large number of variants
Abstract
A pathway tree is constructed by recursively duplicating a single reconstructive martensitic transformation path with respect to lattice symmetries and point-group rotations. An energy potential built on this pathway is implemented in a phase-field technique in large strain framework, with the transformational strain as the order parameter. A specific splitting between non-dissipative elastic behavior and the dissipative evolution of the order parameter allows for the modeling of acoustic waves during rapid transformations. A simple toy-model transition from hexa- to square-lattice successfully demonstrates the possibility to model reconstructive martensitic transformations for a large number of variants (more than one hundred). Pure traction applied to our toy-model shows that variants can nucleate into previously created variants, with a hierarchical nucleation of variants spanning over five levels of transformation.
- Publication:
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Journal of Mechanics Physics of Solids
- Pub Date:
- May 2016
- DOI:
- 10.1016/j.jmps.2016.02.022
- Bibcode:
- 2016JMPSo..90...91D
- Keywords:
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- Phase transformation;
- Phase field approach;
- Large strains