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>

Jacobsson, Erik; Hallberg, Håkan; Hektor, Johan; Iyengar, Srinivasan; Ristinmaa, Matti

A level set approach to modelling diffusional phase transformations under finite strains with application to the formation of Cu₆Sn₅

Mark

Jacobsson, Erik ^LU ; Hallberg, Håkan ^LU

; Hektor, Johan ^LU ; Iyengar, Srinivasan ^LU and Ristinmaa, Matti ^LU

(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.
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Please use this url to cite or link to this publication: https://lup.lub.lu.se/record/bdcdd65a-4574-4f37-91c6-f9cf77ea0f8e

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

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}},
}

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A level set approach to modelling diffusional phase transformations under finite strains with application to the formation of Cu₆Sn₅