Adaptive mesh refinement for the phase field method: A FEniCS implementation

Freddi, Francesco; Mingazzi, L.

doi:10.1016/j.apples.2023.100127

Cited by 3 publications

(1 citation statement)

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“…Adaptive recognition and refinement of these areas can be achieved by comparing the magnitudes of the phase parameter gradients [145]. The time spent on adaptive grid refinement involves two main aspects: the time for grid generation and the actual computation time.…”

Section: Grand Potential Phase-field Sintering Modelmentioning

confidence: 99%

Phase-Field Simulation of Sintering Process: A Review

Xue,

2024

CMES

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Sintering, a well-established technique in powder metallurgy, plays a critical role in the processing of high melting point materials. A comprehensive understanding of structural changes during the sintering process is essential for effective product assessment. The phase-field method stands out for its unique ability to simulate these structural transformations. Despite its widespread application, there is a notable absence of literature reviews focused on its usage in sintering simulations. Therefore, this paper addresses this gap by reviewing the latest advancements in phase-field sintering models, covering approaches based on energy, grand potential, and entropy increase. The characteristics of various models are extensively discussed, with a specific emphasis on energy-based models incorporating considerations such as interface energy anisotropy, tensor-form diffusion mechanisms, and various forms of rigid particle motion during sintering. Furthermore, the paper offers a concise summary of phase-field sintering models that integrate with other physical fields, including stress/strain fields, viscous flow, temperature field, and external electric fields. In conclusion, the paper provides a succinct overview of the entire content and delineates potential avenues for future research.

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Section: Grand Potential Phase-field Sintering Modelmentioning

confidence: 99%

Phase-Field Simulation of Sintering Process: A Review

Xue,

2024

CMES

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An adaptive acceleration scheme for phase-field fatigue computations

Heinzmann,

Carrara,

Ambati

et al. 2024

Comput Mech

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Phase-field models of fatigue are capable of reproducing the main phenomenology of fatigue behavior. However, phase-field computations in the high-cycle fatigue regime are prohibitively expensive due to the need to resolve spatially the small length scale inherent to phase-field models and temporally the loading history for several millions of cycles. As a remedy, we propose a fully adaptive acceleration scheme based on the cycle jump technique, where the cycle-by-cycle resolution of an appropriately determined number of cycles is skipped while predicting the local system evolution during the jump. The novelty of our approach is a cycle-jump criterion to determine the appropriate cycle-jump size based on a target increment of a global variable which monitors the advancement of fatigue. We propose the definition and meaning of this variable for three general stages of the fatigue life. In comparison to existing acceleration techniques, our approach needs no parameters and bounds for the cycle-jump size, and it works independently of the material, specimen or loading conditions. Since one of the monitoring variables is the fatigue crack length, we introduce an accurate, flexible and efficient method for its computation, which overcomes the issues of conventional crack tip tracking algorithms and enables the consideration of several cracks evolving at the same time. The performance of the proposed acceleration scheme is demonstrated with representative numerical examples, which show a speedup reaching up to four orders of magnitude in the high-cycle fatigue regime with consistently high accuracy. Graphical abstract

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