Eulerian Finite-strain Elasticity with Phase-field and the Reference Map Technique

Many problems in science and engineering involve moving boundaries. Phase-field modeling has gained popularity within the computational mechanics community as a powerful tool to address the difficulties associated with solving interface problems. A suitable alternative to the Lagrangian description of those interfaces, which is proper for the treatment of solid behavior, is to use a Eulerian framework, common in fluid mechanics, which uses a fixed grid and does not explicitly track the motion of the particles. However, treating solid interfaces in full Eulerian frameworks entails the advection of the stress tensor, leading to numerical dissipation. An alternative to the advection of the conventional tensors is to use a fully Eulerian technique called the reference map technique. In this paper, we combine the simplicity of the reference map with the phase-field technique and the finite element method, obtaining an algorithm for accurately resolving solid interfaces in fully Eulerian schemes.



Work Title Eulerian Finite-strain Elasticity with Phase-field and the Reference Map Technique
Open Access
  1. Farshad Ghanbari
  2. Christian Peco
  1. Finite element method
  2. Full Eulerian
  3. Interface
  4. Computational fluid dynamics
License CC BY 4.0 (Attribution)
Work Type Article
  1. Transactions of the Japan Society for Computational Engineering and Science
Publication Date February 2023
  1. Numerical methods
  2. Computational mechanics
  1. English
DOI doi:10.26207/w4p2-mw24
Geographic Area
  1. US
Related URLs
Deposited February 16, 2023




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Work History

Version 1

  • Created
  • Updated
  • Added Creator Christian Peco
  • Added Creator Farshad Ghanbari
  • Added Ghanbari_Peco_JSCES.pdf
  • Updated License Show Changes
  • Published
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Version 2

  • Created
  • Updated Creator Farshad Ghanbari
  • Updated Creator Christian Peco
  • Published
  • Updated Keyword Show Changes
    • finite element method, full Eulerian, interface, computational fluid dynamics
    • Finite element method, Full Eulerian, Interface, Computational fluid dynamics
  • Updated