Abstract
We propose a weak condition of compatibility between phases applicable to cases exhibiting full or partial coherence and Widmanstätten microstructure. The condition is applied to the study of Sb2Te 3 precipitates in a PbTe matrix in a thermoelectric alloy. The weak condition of compatibility predicts elongated precipitates lying on a cone determined by a transformation stretch tensor. Comparison of this cone with the long directions of precipitates determined by a slice-and-view method of scanning electron microscopy combined with focused ion beam sectioning shows good agreement between theory and experiment. A further study of the morphology of precipitates by the Eshelby method suggests that interfacial energy also plays a role and gives an approximate value of interfacial energy per unit area of 250 dyn cm-1.
Original language | English (US) |
---|---|
Pages (from-to) | 6124-6132 |
Number of pages | 9 |
Journal | Acta Materialia |
Volume | 59 |
Issue number | 15 |
DOIs | |
State | Published - Sep 2011 |
Bibliographical note
Funding Information:The authors thank Wim Tirry for valuable discussions on the interpretation of the experimental data on the organization of the precipitates in the matrix, and Liping Liu and Jiangyu Li for discussions on the theory. The work of X.C., V.S., G.J.S. and R.D.J. was supported by ARO-MURI W911NF-07-1-0410 . The work of S.C. and D.S. was supported by the Flemish FWO project G.0576.09 3D : characterization of precipitates in Ni–Ti SMA by Slice-and-View in a FIB-SEM dual-beam microscope. The work of T.I. was supported by the PRESTO program of the Japan Science and Technology Agency . R.D.J. also acknowledges support of AFOSR (GameChanger, GRT00008581/RF60012388) and National Science Foundation under the PIRE Grant No. OISE-0967140 .
Keywords
- Compatibility
- Precipitation
- Thermoelectric materials
- Widmanstätten microstructure