
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.
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Work Title | Eulerian Finite-strain Elasticity with Phase-field and the Reference Map Technique |
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License | CC BY 4.0 (Attribution) |
Work Type | Article |
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Publication Date | February 2023 |
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DOI | doi:10.26207/w4p2-mw24 |
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Deposited | February 16, 2023 |
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