# A model for nonclassical nucleation of solid-solid structural phase transformations

## Abstract

A new model for homogeneous nucleation of structural phase transformations, which can span the range of nucleation from classical to nonclassical, is presented. This model is extended from the classical nucleation theory by introducing driving-force dependencies into the interfacial free energy, the misfit strain energy, and the nucleus chemical free-energy change in order to capture the nonclassical nucleation phenomena. The driving-force dependencies are determined by matching the asymptotic solutions of the new model for the nucleus size and the nucleation energy barrier to the corresponding asymptotic solutions of the Landau-Ginzburg model for nucleation of solid-state phase transformations in the vicinity of lattice instability. Thus, no additional material parameters other than those of the classical nucleation theory and the Landau-Ginzburg model are required, and nonclassical nucleation behavior can be easily predicted based on the well-developed analytical solutions of the classical nucleation model. A comparison of the new model to the Landau-Ginzburg model for homogeneous nucleation of a dilational transformation is presented as a benchmark example. An application to homogeneous nucleation of a cubic-to-tetragonal transformation is presented to illustrate the capability o this model. The nonclassical homogeneous nucleation behavior of the experimentally studied fcc {r_arrow} bcc transformation in the Fe-Co system ismore »

- Authors:

- Publication Date:

- Research Org.:
- Chung-Shuan Inst. of Science and Tech. (TW)

- OSTI Identifier:
- 20075676

- Alternate Identifier(s):
- OSTI ID: 20075676

- Resource Type:
- Journal Article

- Journal Name:
- Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science

- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 1073-5623

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; CRYSTAL-PHASE TRANSFORMATIONS; SOLIDS; MATHEMATICAL MODELS; NUCLEATION; VALIDATION; IRON ALLOYS; COBALT ALLOYS

### Citation Formats

```
Chu, Y.A., Moran, B., Reid, A.C.E., and Olson, G.B.
```*A model for nonclassical nucleation of solid-solid structural phase transformations*. United States: N. p., 2000.
Web. doi:10.1007/s11661-000-0251-7.

```
Chu, Y.A., Moran, B., Reid, A.C.E., & Olson, G.B.
```*A model for nonclassical nucleation of solid-solid structural phase transformations*. United States. doi:10.1007/s11661-000-0251-7.

```
Chu, Y.A., Moran, B., Reid, A.C.E., and Olson, G.B. Mon .
"A model for nonclassical nucleation of solid-solid structural phase transformations". United States. doi:10.1007/s11661-000-0251-7.
```

```
@article{osti_20075676,
```

title = {A model for nonclassical nucleation of solid-solid structural phase transformations},

author = {Chu, Y.A. and Moran, B. and Reid, A.C.E. and Olson, G.B.},

abstractNote = {A new model for homogeneous nucleation of structural phase transformations, which can span the range of nucleation from classical to nonclassical, is presented. This model is extended from the classical nucleation theory by introducing driving-force dependencies into the interfacial free energy, the misfit strain energy, and the nucleus chemical free-energy change in order to capture the nonclassical nucleation phenomena. The driving-force dependencies are determined by matching the asymptotic solutions of the new model for the nucleus size and the nucleation energy barrier to the corresponding asymptotic solutions of the Landau-Ginzburg model for nucleation of solid-state phase transformations in the vicinity of lattice instability. Thus, no additional material parameters other than those of the classical nucleation theory and the Landau-Ginzburg model are required, and nonclassical nucleation behavior can be easily predicted based on the well-developed analytical solutions of the classical nucleation model. A comparison of the new model to the Landau-Ginzburg model for homogeneous nucleation of a dilational transformation is presented as a benchmark example. An application to homogeneous nucleation of a cubic-to-tetragonal transformation is presented to illustrate the capability o this model. The nonclassical homogeneous nucleation behavior of the experimentally studied fcc {r_arrow} bcc transformation in the Fe-Co system is examined by the new model, which predicts a 20% reduction in the critical driving force for homogeneous nucleation.},

doi = {10.1007/s11661-000-0251-7},

journal = {Metallurgical and Materials Transactions. A, Physical Metallurgy and Materials Science},

issn = {1073-5623},

number = 5,

volume = 31,

place = {United States},

year = {2000},

month = {5}

}