A level set approach to modelling diffusional phase transformations under finite strains with application to the formation of Cu6Sn5
(2024) In Computational Materials Science 244.- Abstract
This paper presents a sharp interface formulation for modelling diffusional phase transformations. Grain boundary motion is, in accordance with diffusional phase transformation kinetics, determined by the amount of flux towards the interface and is formulated in a level set framework. This approach enables a computational efficiency that can be expected to be higher than what can be achieved with conventional phase field methods. Compatibility of the interfaces is obtained through an interface reconstruction process, in which the locations of triple junction points are also determined. To ensure local equilibrium and a continuous chemical potential across the interfaces, the chemical composition is prescribed at the phase interfaces.... (More)
This paper presents a sharp interface formulation for modelling diffusional phase transformations. Grain boundary motion is, in accordance with diffusional phase transformation kinetics, determined by the amount of flux towards the interface and is formulated in a level set framework. This approach enables a computational efficiency that can be expected to be higher than what can be achieved with conventional phase field methods. Compatibility of the interfaces is obtained through an interface reconstruction process, in which the locations of triple junction points are also determined. To ensure local equilibrium and a continuous chemical potential across the interfaces, the chemical composition is prescribed at the phase interfaces. The presented model is used to study the growth of the intermetallic compound (IMC) Cu6Sn5 for a system with Sn electroplated on a Cu substrate. A finite strain formulation is incorporated into the model to investigate the effects of the volume change resulting from the IMC formation. In this formulation, the Cu and Sn phases are allowed to deform plastically. The numerical simulations demonstrate IMC growth rates in agreement with experimental measurements. Moreover, the IMC evolves into a scallop-like morphology, consistent with experimental observations.
(Less)
- author
- Jacobsson, Erik
LU
; Hallberg, Håkan
LU
; Hektor, Johan LU ; Iyengar, Srinivasan LU and Ristinmaa, Matti LU
- organization
- publishing date
- 2024-09
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- CuSn, Diffusional phase transformations, Finite strain plasticity, Intermetallic compound growth, Level set
- in
- Computational Materials Science
- volume
- 244
- article number
- 113284
- publisher
- Elsevier
- external identifiers
-
- scopus:85200797788
- ISSN
- 0927-0256
- DOI
- 10.1016/j.commatsci.2024.113284
- language
- English
- LU publication?
- yes
- additional info
- Publisher Copyright: © 2024 The Author(s)
- id
- bdcdd65a-4574-4f37-91c6-f9cf77ea0f8e
- date added to LUP
- 2024-08-21 19:27:27
- date last changed
- 2024-08-23 09:38:10
@article{bdcdd65a-4574-4f37-91c6-f9cf77ea0f8e, abstract = {{<p>This paper presents a sharp interface formulation for modelling diffusional phase transformations. Grain boundary motion is, in accordance with diffusional phase transformation kinetics, determined by the amount of flux towards the interface and is formulated in a level set framework. This approach enables a computational efficiency that can be expected to be higher than what can be achieved with conventional phase field methods. Compatibility of the interfaces is obtained through an interface reconstruction process, in which the locations of triple junction points are also determined. To ensure local equilibrium and a continuous chemical potential across the interfaces, the chemical composition is prescribed at the phase interfaces. The presented model is used to study the growth of the intermetallic compound (IMC) Cu<sub>6</sub>Sn<sub>5</sub> for a system with Sn electroplated on a Cu substrate. A finite strain formulation is incorporated into the model to investigate the effects of the volume change resulting from the IMC formation. In this formulation, the Cu and Sn phases are allowed to deform plastically. The numerical simulations demonstrate IMC growth rates in agreement with experimental measurements. Moreover, the IMC evolves into a scallop-like morphology, consistent with experimental observations.</p>}}, author = {{Jacobsson, Erik and Hallberg, Håkan and Hektor, Johan and Iyengar, Srinivasan and Ristinmaa, Matti}}, issn = {{0927-0256}}, keywords = {{CuSn; Diffusional phase transformations; Finite strain plasticity; Intermetallic compound growth; Level set}}, language = {{eng}}, publisher = {{Elsevier}}, series = {{Computational Materials Science}}, title = {{A level set approach to modelling diffusional phase transformations under finite strains with application to the formation of Cu<sub>6</sub>Sn<sub>5</sub>}}, url = {{http://dx.doi.org/10.1016/j.commatsci.2024.113284}}, doi = {{10.1016/j.commatsci.2024.113284}}, volume = {{244}}, year = {{2024}}, }