Droplet Free Energy Functional for the Morphology of Martensites
| dc.creator | Rao, Madan | |
| dc.creator | Sengupta, Surajit | |
| dc.date | 1996-03-07 | |
| dc.date.accessioned | 2026-07-07T03:08:24Z | |
| dc.date.available | 2026-07-07T03:08:24Z | |
| dc.description | Martensites are metastable phases, possessing a characteristic morphology, usually formed during a fast quench accross a structural transition. We attempt to understand these morphological features using a coarsegrained free energy functional ${\cal F}[ε; Φ]$ which contains, in addition to the usual strain fields $ε_{ij}$ (the `` order parameter'' for the transition), the ``vacancy'' field $ϕ$ which arises due to the geometric mismatch at a parent-product interface. The relaxation of this mismatch is slow compared to typical front propagation times and hence $ϕ$ is essentially frozen in the reference frame of the growing martensite front. Minimisation of ${\cal F}$ then automatically yeilds typical martensite morphologies. We demonstrate this in two dimensions for the square to rhombus transformation and obtain internally twinned martensites, which grow as thin strips, for ``hard'' martensites (e.g., Fe-based alloys) or with a `single-interface', for ``soft'' martensites (e.g., In-Tl alloys). | |
| dc.description | 5 pages, REVTEX, includes 2 .eps figures To appear in "Defects in Condensed Media", eds. K. Krishan, C. S. Sundar and V. Kumar (SciTech Publ. Ltd., Switzerland, 1996) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9603049 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9603049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27485 | |
| dc.subject | Condensed Matter | |
| dc.title | Droplet Free Energy Functional for the Morphology of Martensites | |
| dc.type | text |