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A Phase-Field Discrete Element Method to study chemo-mechanical coupling in granular materials

Publication ,  Journal Article
Sac-Morane, A; Veveakis, M; Rattez, H
Published in: Computer Methods in Applied Mechanics and Engineering
May 1, 2024

This paper presents an extension of the discrete element method using a phase-field formulation to incorporate grain shape and its evolution. The introduction of a phase variable enables an effective representation of grain geometry and facilitates the application of physical laws, such as chemo-mechanical couplings, for modeling shape changes. These physical laws are solved numerically using the finite element method coupled in a staggered scheme to the discrete element model. The efficacy of the proposed Phase-Field Discrete Element Model (PFDEM) is demonstrated through its ability to accurately capture the real grain shape in a material subjected to dissolution only and compute the stress evolution. It is then applied to model the phenomenon of pressure solution involving dissolution and precipitation in granular materials at the microscale and enables to reproduce the creep response observed experimentally. This framework contributes to the enhanced understanding and simulation of complex behaviors in granular materials and sedimentary rocks for many geological processes like diagenesis or earthquake nucleation.

Duke Scholars

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

May 1, 2024

Volume

424

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Sac-Morane, A., Veveakis, M., & Rattez, H. (2024). A Phase-Field Discrete Element Method to study chemo-mechanical coupling in granular materials. Computer Methods in Applied Mechanics and Engineering, 424. https://doi.org/10.1016/j.cma.2024.116900
Sac-Morane, A., M. Veveakis, and H. Rattez. “A Phase-Field Discrete Element Method to study chemo-mechanical coupling in granular materials.” Computer Methods in Applied Mechanics and Engineering 424 (May 1, 2024). https://doi.org/10.1016/j.cma.2024.116900.
Sac-Morane A, Veveakis M, Rattez H. A Phase-Field Discrete Element Method to study chemo-mechanical coupling in granular materials. Computer Methods in Applied Mechanics and Engineering. 2024 May 1;424.
Sac-Morane, A., et al. “A Phase-Field Discrete Element Method to study chemo-mechanical coupling in granular materials.” Computer Methods in Applied Mechanics and Engineering, vol. 424, May 2024. Scopus, doi:10.1016/j.cma.2024.116900.
Sac-Morane A, Veveakis M, Rattez H. A Phase-Field Discrete Element Method to study chemo-mechanical coupling in granular materials. Computer Methods in Applied Mechanics and Engineering. 2024 May 1;424.
Journal cover image

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

May 1, 2024

Volume

424

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences