The effects of introducing elasticity using different interpolation schemes to the grand potential phase field model

Pierre Clément A. Simon, Larry K. Aagesen, Arthur T. Motta, Michael R. Tonks

Research output: Contribution to journalArticlepeer-review

Abstract

Introducing elastic energy in the phase field method has been shown to influence interfacial energy, depending on the elastic interpolation scheme. This study investigates the impact of the elastic energy when using a grand potential-based phase field method, comparing the result of Khachaturyan's strain interpolation scheme (KHS) and Voight-Taylor's elastic energy interpolation scheme (VTS). The KHS model leads to a decrease in the interfacial energy, while the VTS model leads to an increase. The change in interfacial energy is greater with the VTS model than the KHS model, which suggests that the KHS model is more appropriate to limit the artificial impact of the elastic energy on the interfacial energy. When the contribution at the interface is not negligible, it is shown that both the microstructure evolution kinetics and the equilibrium microstructure can be influenced by the choice of the elastic scheme being used. In addition, this paper shows that the grand potential model might not be appropriate when the system requires the introduction of a composition-dependent term in the elastic energy contribution. This limitation is due to the need for an explicit and invertible relation between the total potential and the composition.

Original languageEnglish (US)
Article number109790
JournalComputational Materials Science
Volume183
DOIs
StatePublished - Oct 2020

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Chemistry(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Physics and Astronomy(all)
  • Computational Mathematics

Fingerprint Dive into the research topics of 'The effects of introducing elasticity using different interpolation schemes to the grand potential phase field model'. Together they form a unique fingerprint.

Cite this